Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on the land and produce different crops. She divided the land in two equal parts. If the perimeter of the land is 400 m and one of the diagonals is 160 m, how much area each of them will get for their crops?​

Answers

Answer 1

\({\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}\)

★ Sanya has a piece of land which is in the shape of a rhombus.

★ She wants her one daughter and one son to work on the land and produce different crops, for which she divides the land in two equal parts.

Perimeter of land = 400 m.

★ One of the diagonal = 160 m.

\({\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}\)

★ Area each of them [son and daughter] will get.

\( {\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}\)

Let, ABCD be the rhombus shaped field and each side of the field be \(x\)

[ All sides of the rhombus are equal, therefore we will let the each side of the field be \(x\) ]

Now,

• Perimeter = 400m

\(\longrightarrow \tt AB+BC+CD+AD=400m\)

\(\longrightarrow \tt x + x + x + x=400\)

\(\longrightarrow \tt 4x=400\)

\(\longrightarrow \tt \: x = \dfrac{400}{4} \)

\(\longrightarrow \tt x= \red{100m}\)

\(\therefore\) Each side of the field = 100m.

Now, we have to find the area each [son and daughter] will get.

So, For \(\triangle\) ABD,

Here,

• a = 100 [AB]

• b = 100 [AD]

• c = 160 [BD]

\( \therefore \tt Simi \: perimeter \: [S] = \boxed{ \sf \dfrac{a + b + c}{2} }\)

\(\longrightarrow \tt S = \dfrac{100 + 100 + 160}{2} \)

\(\longrightarrow \tt S = \cancel{ \dfrac{360}{2}}\)

\(\longrightarrow \tt S = 180m\)

Using herons formula,

\( \star \tt Area \: of \: \triangle = \boxed{\bf{{ \sqrt{s(s - a)(s - b)(s - c) } }}} \star\)

where

• s is the simi perimeter = 180m

• a, b and c are sides of the triangle which are 100m, 100m and 160m respectively.

Putting the values,

\( \longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180(180 - 100)(180 - 100)(180 - 160) }\)

\(\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180(80)(80)(20) }\)

\(\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180 \times 80 \times 80 \times 20 }\)

\(\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{9 \times 20 \times 20 \times 80 \times 80}\)

\(\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{ {3}^{2} \times {20}^{2} \times {80}^{2} }\)

\(\longrightarrow \tt Area_{ ( \triangle \: ABD)} = 3 \times 20 \times 80\)

\( \longrightarrow \tt Area_{ ( \triangle \: ABD)} = \red{ 4800 \: {m}^{2} }\)

Thus, area of \(\triangle\) ABD = 4800 m²

As both the triangles have same sides

So,

Area of \(\triangle\) BCD = 4800 m²

Therefore, area each of them [son and daughter] will get = 4800 m²

\({\large{\textsf{\textbf{\underline{\underline{Note :}}}}}}\)

★ Figure in attachment.

\( {\underline{\rule{290pt}{2pt}}} \)

Sanya Has A Piece Of Land Which Is In The Shape Of A Rhombus. She Wants Her One Daughter And One Son
Answer 2

Answer:

4800 m²

Step-by-step explanation:

Properties of a Rhombus

quadrilateral (4 sided shape)2 pairs of parallel sidesAll 4 sides are equal in lengthOpposite angles are equalDiagonals bisect each other at 90°Adjacent angles sum to 180°

Therefore, a rhombus can be divided into 4 congruent right triangles by drawing the diagonals.  The hypotenuse of each right triangle is the side length.

Given:

Perimeter = 400 m

⇒ side length = 400 ÷ 4 = 100 m

Therefore, the hypotenuse of each right triangle is 100 m.

As the diagonals bisect each other (divide into 2 equal parts) at right angles, a leg length of each right triangle will be half a diagonal.

Given:

Diagonal = 160 m

⇒ 160 ÷ 2 = 80 m

Therefore, a leg length of the right triangles is 80 m.

To find the other leg length, use Pythagoras' Theorem:

⇒ a² + b² = c²

⇒ a² + 80² = 100²

⇒ a² = 3600

⇒ a = 60 m

The leg lengths are the base and height of the right triangles.

Area of a triangle = 1/2 × base × height

⇒ Area = 1/2 × 60 × 80

⇒ Area = 2400 m²

As the land is divided into 2 equal parts, each area will be twice the area of one right triangle.

Therefore, the area that Sanya's daughter and son each get for their crops is 4800 m²

Sanya Has A Piece Of Land Which Is In The Shape Of A Rhombus. She Wants Her One Daughter And One Son

Related Questions

You are buying bottles of a sports drink mix for a softball team. Each bottle costs $1.19. What function rule models the total cost of a purchase? Evaluate the function for 15 bottles​

Answers

Answer: f(x) = 1.19x, where f(x) is the total cost, and x is the cost per bottle

Cost of 15 bottles: $17.85

Step-by-step explanation:

This question describes a straightforward relation between cost per bottle, and cost for all the bottles.  As such, simply equate one variable to the value of one bottle, and f(x) as the value of every bottle.

Hope it helps :) and let me know if you want me to elaborate.

P.S. f(x) can simply be substituted for "y"

Cost of each bottle=1.19$

Let

no of bottles be x

.The function is given by

\(\\ \sf\longmapsto f(x)=1.19x\)

Now

Bottles=15

Cost:-

\(\\ \sf\longmapsto f(15)\)

\(\\ \sf\longmapsto 1.19(15)\)

\(\\ \sf\longmapsto 17.89\)


Which table is correct for y = -3/2X + 5

Answers

Answer:

we need the tables.

Step-by-step explanation:

How does the area of the scale drawing where 1 centimeter represesnts 10 miles compare to the area of a the drawing where 1 centimeter represents 30 miles?

Answers

Answer:

This means that 1cm on the map means 10miles on actual land so is it the same for 30miles

That is 1cm on map 30 cm on land

Katrina is driving to her grandparents' house. The distance, y miles, she has left to go after driving for hours is given by f(x) = 400 – 60x. After driving for 3 hours, how many miles will Katrina have left to go?

Answers

Answer:

Step-by-step explanation:

Jenna will complete remaining distance in 6 hours.

Since we know that . Let us find the rate at which Jenna traveled 100 miles.

Remaining distance is 400-100=300.

Now let us find the time Jenna will take to travel 300 miles.

Therefore, Jenna took 6 hours to complete remaining distance.

On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.

Answers

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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Simplify the following expression (62)4

Simplify the following expression (62)4

Answers

Answer:

\(3^{0} =1\)

Step-by-step explanation:

in 2010, by 40 years of age, _____ percent of individuals had ever been married.

Answers

According to the U.S. Census Bureau, in 2010, by the age of 40, approximately 85% of individuals had ever been married.

This statistic is based on data from the American Community Survey, which is conducted by the U.S. Census Bureau. The survey includes questions about marital status and provides information on the percentage of individuals who have ever been married by various ages. The statistic that 85% of individuals had ever been married by the age of 40 suggests that marriage is still a common life experience in the United States. However, it's important to note that this statistic may be influenced by a variety of factors, including changes in societal attitudes towards marriage, cultural and religious practices, and economic factors. Additionally, it's important to consider that this statistic may not be representative of all populations or demographic groups, as marriage rates can vary significantly based on factors such as race, ethnicity, and income.

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Sketch a 30-60-90 triangle. If the longest side of a similar triangle one foot, then how many inches is the shortest side?

Answers

Given that the angles of the triangle are 30, 60, and 90.

Using the sine law

\(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\)

Substitute A=30, B=60, and C=90, we get

\(\frac{a}{\sin 30^o}=\frac{b}{\sin 60^o}=\frac{c}{\sin 90^o}\)\(\text{Substitute }\sin 30^o=\frac{1}{2},\sin 60^o=\frac{\sqrt[]{3}}{2},\text{ and }\sin 90^o=1,\text{ we get}\)

\(\frac{a}{\frac{1}{2}}=\frac{b}{\frac{\sqrt[]{3}}{2}}=\frac{c}{1}\)

\(2a=\frac{2b}{\sqrt[]{3}}=c\)

We know that the longest side should be the opposite side of the big angle (90).

Let c be the longest side of the given triangle.

Substitute c=1, we get

\(2a=\frac{2b}{\sqrt[]{3}}=1\)\(2a=1\text{ and }\frac{2b}{\sqrt[]{3}}=1\)

\(a=\frac{1}{2}\text{ and }b=\frac{\sqrt[]{3}}{2}\)\(a=0.5\text{ and b=}0.866\)

The smallest side is 0.5 feet

Conver the feet into inches.

\(1\text{ foo}t\text{ =12 inches }\)

Dividing both sides by 2, we get

\(\frac{1}{2}\text{ foo}t\text{ =}\frac{12}{2}\text{ inches }\)

\(0.5\text{foo}t\text{ =}6\text{ inches }\)

Hence the smallest side is 6 inches.

suppose a = {0,2,4,6,8}, b = {1,3,5,7} and c = {2,8,4}. find: (a) a∪b (b) a∩b (c) a −b

Answers

The result of each operation is given as follows:

a) a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

b) a ∩ b = {}.

c) a - b = {0, 2, 4, 6, 8}.

How to obtain the union and intersection set of the two sets?

The union and intersection sets of multiple sets are defined as follows:

The union set is composed by the elements that belong to at least one of the sets.The intersection set is composed by the elements that belong to at all the sets.

Item a:

The union set is composed by the elements that belong to at least one of the sets, hence:

a U b = {0, 1, 2, 3, 4, 5, 6, 7, 8}.

Item B:

The two sets are disjoint, that is, there are no elements that belong to both sets, hence the intersection is given by the empty set.

Item c:

The subtraction is all the elements that are on set a but not set b, hence:

a - b = {0, 2, 4, 6, 8}.

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In the image below, the corresponding angle to angle 1 is angle
PLEASE HURRY AND ANSWER THIS AND ANOTHER QUESTION JUST CLICK MY PROFILE
THANK YOU SO MUCH!!!!!!!!!!!!!!!!!

In the image below, the corresponding angle to angle 1 is angle PLEASE HURRY AND ANSWER THIS AND ANOTHER

Answers

Answer:

angle 8

Step-by-step explanation:

Answer:

I believe it is angle 8 i got that question right on my test

Step-by-step explanation:

The ratio of monthly incomes of Adam and Rosy is 9:7 and the ratio of their savings is 3:1. If both of them spend ₹12000 per month, find their monthly incomes.

Answers

Solution :

Let, income and saving of Adam is 9x and 3y.

Similarly income and saving of Rosy is 7x and y.

We know,

Income = Saving + Expense

Now, it is given that their expense is same and it is ₹12000  per month.

For Adam, 9x = 3y + 12000   ...1)

3x = y + 4000

For Rosy, 7x = y + 12000

21x = 3y + 36000   ...2)

Subtracting 1) from equation 2), we get :

12x = 24000

x = ₹2000

Therefore, monthly incomes of Adam and Rosy is ₹18000 and ₹14000 respectively.

x²-x-6
2
x+3x² - 2x - 3*
Find a reasonable estimate of the limit lim

x-x-62x+3x - 2x - 3*Find a reasonable estimate of the limit lim

Answers

According to the given information the limit of the given equation is 1.25 so the correct answer is option a.

What is the definition of a limit in mathematics?

Limit, a closeness-based mathematical notion, is largely used to give values to some functions at locations where none are specified, in a manner that is compatible with neighbouring values.

What is meant by "limit of a function"?

The value that a function assumes when its input approaches as well as approaches a particular number is really the function's limit. Limits determine continuity, integrals, as well as derivatives. The behaviour of the function at a certain place is always of relevance to the limit of the function.

\(\lim_{x \to 3} \frac{x^2-x-6}{x^2 - 2x - 3} \\\\ \lim_{x \to3} \frac{(x-3)(x+2)}{(x-3)(x+1)} \\\\ \lim_{x \to3} \frac{(x+2)}{(x+1)} \\\\$putting the value x=3$\\\\=\frac{3+2}{3+1} \\\\=\frac{5}{4} \\\\=1.25\)

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Show the substitution v = In y transforms the differential equation y' + P(x)y = Q(x)(ylny) into the linear equation v' + P(x) = Q(x)v(x). solve the equation: xy' – 4x²y + 2y In y = 0

Answers

Solution is y = e^v, where v satisfies the linear equation v' + P(x) = Q(x)v(x).

To show that the substitution v = In y transforms the differential equation y' + P(x)y = Q(x)(ylny) into the linear equation v' + P(x) = Q(x)v(x), we need to substitute y = e^v into the original equation:
y' + P(x)y = Q(x)(ylny)
e^v dv/dx + P(x) e^v = Q(x) e^v
Now divide both sides by e^v:
dv/dx + P(x) = Q(x) v
This is the linear equation v' + P(x) = Q(x)v(x) that we were asked to show.
To solve the equation xy' – 4x²y + 2y In y = 0, we can use the substitution v = In y. Taking the derivative of v with respect to x, we get:
dv/dx = 1/y dy/dx
Substituting this and y = e^v into the equation, we get:
x(1/y dy/dx) e^v - 4x² e^v + 2e^v v = 0
Dividing both sides by e^v yields:
x(1/y dy/dx) - 4x² + 2v = 0
Now substitute v = In y back into the equation to get:
x(1/y dy/dx) - 4x² + 2In y = 0
Multiplying both sides by y and rearranging, we get:
xy' - 4x²y + 2y In y = 0
which is the original equation we started with.

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helpppp What is the value of y? Triangle A B C has right angle C with side A C labeled 5. Angle A is 60 degrees and its opposite side B C is labeled y. The long leg is labeled y and the short leg is labeled 5. Enter your answer, as an exact value, in the box.

Answers

Answer:

\( 5\sqrt{3} \)

Step-by-step explanation:

here

tan(60)= p/b

\( \sqrt{3 } = \frac{y}{5} \)

\(y = 5\sqrt{3} \)

4. Linear Dependence in a Square Matrix Learning Objective: This is an opportunity to practice applying proof techniques. This question is specifi- cally focused on linear dependence of rows and columns in a square matrix. Let A be a square n x n matrix, (i.e. both the columns and rows are vectors in R"). Suppose we are told that the columns of A are linearly dependent. Prove, then, that the rows of A must also be linearly dependent. You can use the following conclusion in your proof: If Gaussian elimination is applied to a matrix A, and the resulting matrix (in reduced row echelon form) has at least one row of all zeros, this means that the rows of A are linearly dependent. (Hint: Can you use the linear dependence of the columns to say something about the number of solutions to Ai=? How does the number of solutions relate to the result of Gaussian elimination?).

Answers

The key approach is to analyze the relationship between the number of solutions to the equation Ax = 0 and the result of Gaussian elimination.

Since the columns of A are linearly dependent, there exist scalars c1, c2, ..., cn (not all zero) such that c1a1 + c2a2 + ... + cnan = 0, where ai represents the columns of A. We can rewrite this equation as a system of linear equations: Ax = 0, where x = [c1, c2, ..., cn]T is a column vector.

The linear dependence of the columns implies that the system Ax = 0 has infinitely many solutions, as we can always find non-trivial combinations of the columns that yield the zero vector.

Now, let's consider applying Gaussian elimination to matrix A. Gaussian elimination transforms the matrix into reduced row echelon form. If the resulting matrix has at least one row of all zeros, it means that there is at least one free variable in the system Ax = 0. This indicates that the system has infinitely many solutions.

Since the system Ax = 0 has infinitely many solutions, and the result of Gaussian elimination with a row of all zeros indicates linear dependence, it follows that the rows of A must also be linearly dependent. Therefore, the linear dependence of the columns implies the linear dependence of the rows.

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Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020

Answers

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence,  the average of your last two test scores = 92.

PLZ HELP WILL MARK BRANLIEST

What events in Hitler Youth have impacted individuals or ideas?

Answers

Answer:

Hitler Youth, founded in 1926, young children were taught how to use weapons and how to kill. This could have had a psychological effect on their developing minds. They were also taught the ideals and values of Hitler. They were taught that the ideal way to be was cis, straight, Christian, white, blonde, and blue eyes. Some children didn't possess these qualities negatively affecting the way they view themselves and those who did possess these traits dramatically looked down on others. The purpose of the Hitler Youth was to train children to be prepared to give their lives for their country.

Step-by-step explanation:

the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15 seconds the angle of elevation changes to 30 degree if the jet plane is flying at a constant height of 1500 root 3 metre find the speed of the jet plane​

Answers

Answer:

200m/s

Step-by-step explanation:

Please see the attached pictures for full solution.

the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15
the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15
the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15
the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15
the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15

leena consumes 400 calories at breakfast and 350 calories at lunch. she consumes startfraction 2 over 3 endfraction. of her daily calories at dinner. if x represents the calories consumed at dinner, which statements describe the situation? check all that apply.leena consumed 1,500 calories at dinner.the equation startfraction 2 over 3 endfraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x 400 350)

Answers

The correct statements are:

1) Leena consumed 1,500 calories at dinner.

2) The equation  2/3(x + 400 + 350) = x

In this question we have been given Leena consumes 400 calories at breakfast and 350 calories at lunch. she consumes 2/3 of her daily calories at dinner.

We need to select a statement that describes the situation  if x represents the calories consumed at dinner.

Let x be the calories consumed at dinner.

Leena consumes 400 calories at breakfast and 350 calories at lunch.

So, the daily calories consumed by her:

400 + 350 + x

Given that she consumes 2/3 of her daily calories at dinner.

From given conditions we get an equation,

x = 2/3(x + 400 + 350)

3x = 2(x + 750)                          ............(multiply both sides by 3)

3x = 2x + 1500                

3x - 2x = 2x + 1500 - 2x            ...............(subtract 2x from both sides)

x = 1500 calories

Therefore, Leena consumed 1500 calories at dinner.

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Which set of output values correctly complete the function table?

a. -24, -8, -12

b. 24, 8, 12

c. 24, 8, -12

b. -24, -8, 12

Answers

A function table is a table that describes a function by displaying inputs, outputs, and the relationship between them. To answer the question of which set of output values correctly complete the function table, the function itself needs to be known. However, the given question does not provide the function, so it is impossible to determine which set of output values correctly complete the function table.

So, the answer to the given question is "the function itself needs to be known to determine which set of output values correctly complete the function table."

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an ostrich is 255 cm.Suppose that you want to make a scale drawing of an ostrich. The scale is 30:1. What height will you make the ostrich in your drawing

Answers

Answer:

The height of the drawing should be: 8.5 cm

Step-by-step explanation:

Use the proportion given by the scale in order to find the height "h" that you need to draw:

\(\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm\)

T = CB-5, for C
C=


What’s the answer

Answers

Answer:

C=t/b + 5/b

Step-by-step explanation:

Please make me Brainliest

Eight greater than twice the number

Answers

X times 2 plus 8 (hope this helps cuz I don't know what it asking)

Step-by-step explanation:

X times 2 plus 8

Pls show steps on how u got the answer and thank u

Pls show steps on how u got the answer and thank u

Answers

Answer:

A=3

Step-by-step explanation:

-7a+28=7

subtract 28 from both sides to eliminate it from the first side

-7a=-21

Two negatives equals a positive

7a=21

divide both sides by 7

a=3

graph the following:


2y+x=100

Answers

Answer:

Step-by-step explanation:

graph the following: 2y+x=100
graph the following: 2y+x=100
graph the following: 2y+x=100
graph the following: 2y+x=100

Please help me please

Please help me please

Answers

Answer:

d) \(4x+23=10x-1\)

Step-by-step explanation:

This is an isosceles triangle, which is defined as having two equal sides, and two equal angles corresponding to those sides.

Given this definition, it can be said that \(4x+23\) is equal to \(10x-1\). Therefore,

\(4x+23=10x-1\)

What is the solution to this equation 1/2n^2+18=0

What is the solution to this equation 1/2n^2+18=0

Answers

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

\(\rm\implies -\dfrac{1}{2}n^2+18=0 \)

Subtracting 18 both sides ,

\(\rm\implies -\dfrac{1}{2}n^2 = -18 \)

Multiplying both sides by -2 ,

\(\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18 \)

On simplyfing , we get ,

\(\rm\implies n^2= 36 \)

Putting squareroot both sides ,

\(\rm\implies n= \sqrt{36} \)

This equals to ,

\(\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }} \)

Hence the value of n is ±6 .

T/F. Exception reports show a greater level of detail than is included in routine reports.

Answers

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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Marvin has a coupon the discount is the rental of a full-size car by $25 they decide to buy insurance for each day if the cost is $465 how much days dear well they rent the car right and solve the equation

Marvin has a coupon the discount is the rental of a full-size car by $25 they decide to buy insurance

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Answer:

tht hard

Step-by-step explanation:

so i need points

your friend says that the inequality 5x - 2 is greater than 5 x - 4 has no solution because the equation 5x - 2 equals 5x - 4 has no solution is your friend correct? explain?

Answers

No , inequality (5x-2) > (5x-4)  has no solution is incorrect statement.

As given in the question,

Equation 5x - 2 equals 5x - 4 has no solution

5x -2 = 5x -4

⇒ 5x -5x -2 = 5x-5x-4

⇒2- = -4 is not possible and has no solution.

Inequality

( 5x-2 ) > ( 5x-4 )

⇒( 5x - 2 - 5x)> ( 5x -4 -5x )

⇒-2+2 > -4+2

⇒ 0 > -2

This input is an identity and true for all values.

Therefore,  inequality (5x-2) > (5x-4)  has no solution is incorrect statement.

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