Answers
As a first step we are going to operate the square power:
square power to a radical, it's equal to the same number into the radical.
\(\begin{gathered} (\frac{1}{5})^2+(\frac{1}{7})^2=(\sqrt[]{\frac{74}{35}})^2 \\ \frac{1}{25}+\frac{1}{49}=\frac{74}{35} \\ \frac{74}{1225}=\frac{74}{35} \\ \text{Although this statement is not true.} \end{gathered}\)If the sum of the two shorter sides (1/25 and 1/49) is greater that the length of the third side (74/35) then you can form a triangle, in this case this numbers cannot form a triangle because they don't sum more than the third side.
Related Questions
the selections are
1. Yes/No
2.Negative/Positive
3.Negative/Positive
Answers
Answer:
i think two i may be wrong
Step-by-step explanation:
Edwin sells jars of jam for $1.90 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $1.10 and fixed expenses are $35,700.00 per year.
Answers
Edwin needs to sell 44,625 jars of jam to break even.
To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:
Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)
Given information:
Selling Price per Unit (SP) = $1.90
Variable Cost per Unit (VC) = $1.10
Fixed Expenses = $35,700.00 per year
Plugging in the values into the formula:
Breakeven Point = $35,700 / ($1.90 - $1.10)
Breakeven Point = $35,700 / $0.80
Breakeven Point = 44,625 jars
Therefore, Edwin needs to sell 44,625 jars of jam to break even.
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How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answers
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
Unit 10: Circles Homework 4: Inscribed Angles
Find each angle or arc measure of mRS
Answers
Answer:
96 degrees
Step-by-step explanation:
Since you know that arc are twice the angle measure, that means arc RT is 42 * 2 = 84. Then, you have to find the measure of RS.
Remember that arc RT and RS have to add up to 180 degrees because they form a semicircle (half of a circle).
To find the measure of RS, just do 180 - 84 = 96 degrees.
PLEASE HELLPPPPPPPPPPPPP!!!!!!!!
Answers
The second one is y=3x
Hopes this helps
Use the step by step process.
1. Joe has a chocolate box whose shape resembles a rectangular prism. Its length is 6 in, height is 2 in and width is 4 in. Find the volume of the box.
2. A gift is packed in a rectangular box (rectangular prism) of dimensions 15 in, 10 in, and 8 in and it needs to be wrapped with gift paper. How much gift paper is required to wrap the gift box?
3. Olivia's mother surprised her with pasta packed in a rectangular prism shaped lunch box. How much quantity of pasta is served to Olivia given that the dimensions of the rectangular prism are as follows:
length= 5 in , width= 4 in, height= 3 in
Answers
The volume of Joe chocolate box is 48in³
Showing calculations for Rectangular box1. Volume of Joe chocolate box
Given the following dimensions:
length = 6in
height = 2in
width = 4in
Recall that,
Volume = length x width x height
Volume = 6 in x 4 in x 2 in
Volume = 48in³
2. Gift paper to wrap rectangular gift box
To calculate the amount of gift paper required to wrap the rectangular box, we need to find the surface area of the box.
Recall that,
Surface Area = 2(length x width) + 2(length x height) + 2(width x height)
Surface Area = 2(15 in x 10 in) + 2(15 in x 8 in) + 2(10 in x 8 in)
Surface Area = 300 in² + 240 in² + 160 in²
Surface Area = 700in²
3. Quantity of pasta served to Olivia
To find the quantity of pasta served to Olivia, we need to calculate the volume of the rectangular prism lunch box.
The volume of a rectangular prism can be calculated by multiplying its length, width, and height.
Given the dimensions of the lunch box, we have:
Volume = Length x Width x Height
Volume = 5 in x 4 in x 3 in
Volume = 60in³
Therefore, the quantity of pasta served to Olivia is 60in³
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How do I find GBA and show all the work
Answers
Answer:
Angle ACB = 44°
There are two ways to solve it. Both are right
Solution number 1
From triangle ABC
angle BAC = 180°-(102° +44°) = 36°
Because BG is parallel with AC
Then angle GBA = angle BAC = 34°Another solution
The sum of angles in the shape AGBC = 360°
So angle GBC = 360 - (90 + 90 + 44 + 102) = 34°A barn contains 11 animals. 7 of the animals are bats and the rest are mice. An animal leaves the barn at random, and then a second animal leaves th at random. Copy and complete the tree diagram, which shows all the possible outcor What is the probability that a mouse leaves first and then a bat? Give your answer as a fraction in its simplest form.
Answers
The probability that a mouse leaves first and then a bat is given as follows:
14/55.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
As the animal is not replaced, the probabilities for this problem are given as follows:
Mice leaves first -> 4/11.Bat leaves second: -> 7/10.Hence the probability is given as follows:
4/11 x 7/10 = 2/11 x 7/5 = 14/55.
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A right circular cone is intersected by a plane that passes through the cone's
vertex and is parallel to its base, as in the picture below. What is produced
from this intersection?
OA. A pair of intersecting lines
OB. A point
OC. A pair of parallel lines
OD. A parabola
Answers
Answer:
B. A point
Step-by-step explanation:
You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.
VertexThe vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.
The intersection is one point.
__
Additional comment
Figure f in the attachment illustrates this case.
Ed has 2 green apples and 6 red apples in a bag. He
randomly grabs an apple for his friend and then randomly
grabs another apple for himself. What is the probability
that they both get a red apple?
Answers
The probability that they both get a red apple is, 15/28
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The probability of Ed's friend grabbing a red apple is,
= 6 red apples / (2 green apples + 6 red apples)
= 6/8
= 3/4.
Then, the probability of Ed grabbing a red apple from the remaining apples is,
= 5 red apples / (2 green apples + 5 red apples)
= 5/7.
So, the probability that both Ed and his friend get a red apple is,
= 3/4 x 5/7
= 15/28
Hence, the probability is 15/28
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Please help me with my math question?
Answers
Answer:
150 mL
Step-by-step explanation:
270 - 120 = 150
Hope this helps!
Part A
On November 1, 2022 Stand corp borrowed $240,000 from the bank at 5% interest. Stand corp has a
calendar (12/31st) year-end. It is a 90 day note
REQUIRED: account for the transactions on 11/1/22, 12/31/22 and 1/31/23
Answers
It should be noted that to account for the transactions on November 1, 2022, December 31, 2022, and January 31, 2023, we need to consider the borrowing of $240,000 on November 1, 2022, the accrual of interest on December 31, 2022, and the repayment of the note plus interest on January 31, 2023.
How to explain the informationNovember 1, 2022:
On this date, Stand Corp borrowed $240,000 from the bank. We will record this transaction as follows:
Debit: Cash $240,000
Credit: Notes Payable $240,000
December 31, 2022:
On the year-end date, Stand Corp needs to accrue interest expense for the two months it has held the note. Assuming a 360-day year, we can calculate the interest as follows:
Principal amount: $240,000
Interest rate: 5%
Time period: 2 months / 12 months
Interest expense = Principal * Rate * Time = $240,000 * 5% * (2/12) = $2,000
We will record the interest expense accrual as follows:
Debit: Interest Expense $2,000
Credit: Interest Payable $2,000
January 31, 2023:
On this date, Stand Corp needs to repay the note plus the accrued interest. The total amount to be paid will be the principal ($240,000) plus the interest accrued from December 31, 2022, to January 31, 2023.
Principal amount: $240,000
Interest rate: 5%
Time period: 1 month / 12 months
Interest expense = Principal * Rate * Time = $240,000 * 5% * (1/12) = $1,000
Total amount to be paid = Principal + Interest = $240,000 + $1,000 = $241,000
We will record the repayment transaction as follows:
Debit: Notes Payable $240,000
Debit: Interest Payable $2,000 (to clear the accrued interest)
Debit: Interest Expense $1,000 (for the interest in January 2023)
Credit: Cash $241,000
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In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.
Give your answers as decimals, to three places
< p <
What is the expected value of �?
Answers
The confidence interval is 0.559 < p < 0.641 and expected value is 0.600
Confidence IntervalTo construct a confidence interval for the true population proportion, we can use the formula:
p ± Z * √((p × (1 - p)) / n)
Where:
p = sample proportion (336/560)
Z = critical value for the desired confidence level
95% confidence = Z-value of approximately 1.96
n = 560
Let's calculate the confidence interval:
p = 336/560 ≈ 0.600
Z ≈ 1.96 (for a 95% confidence level)
n = 560
Plugging these values into the formula:
p ± Z × √((p × (1 - p)) / n)
0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)
0.600 ± 1.96 × √((0.240) / 560)
0.600 ± 1.96 × √(0.0004285714)
0.600 ± 1.96 × 0.020709611
0.600 ± 0.040564459
The confidence interval is:
0.559 < p < 0.641
Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.
The expected valueFor proportions, the expected value is simply the sample proportion, which is approximately 0.600.
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how do you figure out the percentage of 19 into 129
Answers
Answer:
14.73.
Step-by-step explanation:
Answer:
See image below for answer:)
Step-by-step explanation:
Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which
statement is true?
Quadrilateral FLAG is a rhombus because all sides are congruent.
Quadrilateral FLAG is a parallelogram because opposite sides are parallel.
Quadrilateral FLAG is only a quadrilateral because no sides are congruent and no
sides are parallel.
Quadrilateral FLAG is a trapezoid because only one pair of sides are parallel.
Answers
Answer:
B. Quadrilateral FLAG is a parallelogram because opposite sides are parallel.Step-by-step explanation:
Refer to attached.
Plot the point and connect in order FLAG.
We see
FL ║ GA GF ║ ALFA and GL are not perpendicularAll the above can be confirmed by calculating the slopes:
m(FL) = (3 - 5)/(6 - 1) = -2/5m(GA) = (1 + 1)/(-2-3) = -2/5These are same.m(GF) = (5 - 1)/(1 + 2) = 4/3m(AL) = (3 + 1)/(6 - 3) = 4/3These are samem(FA) = (-1 - 5)/(3 - 1) = -3m(GL) = (3 - 1)/(6 +2) = -1/4These are negative but not reciprocalThe quadrilateral is a parallelogram.
Correct choice is B
Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which
statement is true?
Quadrilateral FLAG is a rhombus because all sides are congruent.
Quadrilateral FLAG is a parallelogram because opposite sides are parallel.
Quadrilateral FLAG is only a quadrilateral because no sides are congruent and no
sides are parallel.
Quadrilateral FLAG is a trapezoid because only one pair of sides are parallel.
Saludos
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given sine of theta equals 8 over 17 and cosine of theta equals 15 over 17 comma which of the following can be proven using a pythagorean identity? 1 plus the quantity 8 over 17 end quantity squared equals the quantity 15 over 17 end quantity squared 1 plus the quantity 15 over 17 end quantity squared equals the quantity 8 over 17 end quantity squared the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1
Answers
The correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1
What is a Pythagorean identity?
The Pythagorean identity for sine and cosine states that for any angle θ,
sin²θ + cos²θ = 1
We can use the given values of sine and cosine to find the missing trigonometric function:
tan(θ) = sin(θ) / cos(θ) = (8/17) / (15/17) = 8/15
Now, we can use the Pythagorean identity to determine which of the given statements is true:
1 + (8/17)² = 1 + 64/289 = 353/289 ≠ (15/17)²
1 + (15/17)² = 1 + 225/289 = 514/289 ≠ (8/17)²
(8/17)² + (15/17)² = 64/289 + 225/289 = 1
Therefore, the statement that can be proven using the Pythagorean identity is:
(8/17)² + (15/17)² = 1
Hence, the correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1
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(PLEASE ANSWER THIS SERIOUSLY! ITS FOR A TEST) Move the yellow dots in order to make the segments intersect. Let the intersection be called point X. Make the lines intersect in such a way that ∠TXV is an obtuse angle less than 135°. Afterwards, use the protractor to determine the precise measure of all four angles. You should redraw the lines if ∠TXV is not the proper size.
Answers
Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.
Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°
So,Let's keep ∠EIH = 140°
Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)
Now,The Sum of all angles around I will be 360 degrees.
So,140 + x + 140 + x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.
what a subcategory of a polygon
Answers
Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.
What is a polygon?A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.
Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.
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Complete question
How can polygons be considered a subcategory of two-dimensional figures?
Ok I need help please I can’t figure it out
Answers
Since M is the midpoint of line CB, then line CM has equal length as line MB. We have;
\(3x+1=5x-9\)Then, we collect like terms;
\(\begin{gathered} 1+9=5x-3x \\ 2x=10 \end{gathered}\)Divide both sides of the equation by 2;
\(\begin{gathered} \frac{2x}{2}=\frac{10}{2} \\ x=5 \end{gathered}\)CORRECT OPTION: 5
Write .242424... as a
fraction in lowest terms
Answers
Answer: 8/33
Step-by-step explanation:
r = 0.242424....
100r= 24.2424....
100r - r = 99r
99r = 24
r = 24/99 = 8/33
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answers
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
The value of 'x' in the equation log(x-3) = 5 is A. 33 B. 32. C. 35. D. 34
Answers
Therefore , the solution of the given problem of equation comes out to be x = 100,003 is the value of x that fulfils the equation log(x-3) = 5.
What is an equation?It is standard practise in mathematical formulas to employ a single variable term to ensure agreement between competing claims. Equations, which are mathematical statements, are used to demonstrate the equality of many academic expression numbers. Instead of dividing 12 into 2 parts in this instance, the normalise technique adds b + 6 to use the data from
y + 6.
Here,
By utilising the characteristics of logarithms, we can find x.
Beginning with the expression provided:
=> log(x-3) = 5
It can be rewritten in exponential form as follows:
=> 10^5 = x - 3
When we simplify this solution, we obtain:
=> x = 10^5 + 3
We can calculate that 105 = 100,000 by using a calculator, so:
=> x = 100,000 + 3 = 100,003
As a result, x = 100,003 is the value of x that fulfils the equation
log(x-3) = 5.
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What are the angles of rotations of an isosceles triangle ?
Answers
Answer:
360 degrees
Step-by-step explanation:
when we look at images of isosceles triangle it fits itself 1 time during a full rotation of 360 degrees
I WILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECT!!
The school library received a donation of 42 boxes of books. Each box contains 15-18 books. The library has 10 empty bookshelves. Each bookshelf can hold up to 60 books. Does the library have enough shelf space for all the new books? Explain how you solved the problem.
Answers
Answer:
No the school libary doesn not have enough pace for all the books. If the least amount of books came which is 15 books in all of 42 boxes (15*42), it would be 630 books and the school libary shelf can only hold 600 books becuase 10 shelves * 60 books on each shelf is 10*60 which is 600. If the least amount of books can’t even fit then the others wold defietnly not fit.
Which statement about the figure is false?
Answers
Answer:
what are the options and the figures???
Step-by-step explanation:
8 + 12n – 4n – 7 Another problem pls dont troll or i will report you :)
Answers
Answer:
Step-by-step explanation:
Do u see any similarities between the numbers? Both 12 and -4 have a variable(N). 8 and -7 dont have a variable, so u have to calculate them individually.
One thing to remember is just because there is a minus sign(-) or a plus sign(+) does not mean its addition or subtraction. its the value of the number. the sign to the left of the number is its value. so left of 12 is plus(+), so its a positive. left of 4 is a minus sign(-) so its a negative 4. lastly, left of 7 is minus sign(-), which means its negative 7. now u add.
lets add the variables first:
12n + (-4n) = 8n
add the regular numbers:
8 + (-7) = 1
so its 8n + 1
Which of these graphs represents the inequality x > 5?
Answers
Answer:
A is correct.
x>5 means all numbers greater than BUT not equal to 5.
The open circle means "not equal".
So, A is correct.
Hope this helps!
Answer:
Graph A.
Step-by-step explanation:
Answer: x > 5 means all x values greater than 5
thus, the graph that best shows that x is greater than 5 is graph A.
Explanation: because x isn't being itself I mean by x isn't just 5 but greater than 5 (graph a)
graph b shows x being less than 5 which is wrong
graph c shows x being greater than 5 but being equal to 5 because of the bold circle
graph d shows everything wrong about x. first it's not suppose to be less than and second x isn't equal to 5
therefore the answer graph A.
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doomdabomb: all brainliest and thanks are appreciated
and would mean a lot to me, thanks!
plz solve this question
Answers
Sorry your question isn't visible properly
Answer:
You should make a new question with a cleaner picture
Three angles on a straight line. The first and second angles each measures 25°. What does the third angle measure?
Answers
Answer:
130
Step-by-step explanation:
A straight like measures 180°
25+25=50
180-50=130
plz mark brainliest :)
Answer:
\(130^{\circ}\)
Step-by-step explanation:
A straight line can denote half a circle, each side having \(180^{\circ}\). Therefore, the sum of these three angles should be \(180^{\circ}\). Since the first two angles both measure \(25^{\circ}\), we can set up the following equation and solve:
\(25+25+m\angle 3=180,\\m\angle 3= \fbox{$130^{\circ}$}\).
What’s (2 x 10^17)^2 with the answer in standard form
Answers
Answer:
\((2 x 10^1^7)^2\) is 4×\(10^3^4\)
Step-by-step explanation:
Standard Form is 4×\(10^3^4\)