Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides will be in same ratio
\(2) \frac{x}{8}=\frac{30}{15}\\\\x =\frac{30}{15}*8\\\\x=2*8\\\x = 16\)
\(3) \frac{x}{20}=\frac{12.8}{16}\\\\x = \frac{12.8}{16}*20\\\\x= \frac{128}{8}\\\\x = 16\)
\(\frac{y}{10}=\frac{12.8}{16}\\\\y=\frac{12.8}{16}*10\\\\\\y=8\)
\(4) \frac{x}{15}=\frac{8}{6.4}\\\\x=\frac{8}{6.4}*15\\x=18.75\)
\(5) \frac{x}{12}=\frac{22.5}{9}\\\\x=\frac{22.5*12}{9}\\\\x= 30\)
\(6)\frac{14}{8}=\frac{7}{4}\\\\\frac{12}{6}=\frac{2}{1}\\\\\frac{10}{5}=\frac{2}{1}\)
As the ratio of corresponding sides are not proportion, these are not similar triangles
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Ann is planning a trip to Australia. The table below shows the cities she hopes to visit while she is there, as well as the
amount of money she estimates that she will spend in each place as a result of lodging, eating, transport, and similar
expenses. All costs are given in Australian dollars ($).
City
Toowoomba
Sunshine Coast
Newcastle
Perth
Sydney
Hobart
Bendigo
Cost ($)
161
264
198
130
224
301
277
Ann has $1.265 budgeted for this portion of her trip. Which of the following possibilities represents the smallest portion
she can cut out of her plans to stay under budget?
a Toowoomba and Perth
b. Hobart
C.Sydney and new castle
D.bendigo
Answer:
A Toowoomba and Perth
Step-by-step explanation:
its A on e2020
The smallest portion that Ann can cut out of her plans to stay under budget is option A, Toowoomba and Perth, which has a total cost of $291.
To find the smallest portion that Ann can cut out of her plans, we need to calculate the total cost of all cities and see which one is the highest.
Total cost = $161 + $264 + $198 + $130 + $224 + $301 + $277 = $1,555
Since Ann only has $1,265 budgeted for this portion of her trip, she needs to cut out some cities to stay under budget.
Toowoomba and Perth = $161 + $130 = $291
Hobart = $301
Sydney and Newcastle = $224 + $198 = $422
Bendigo = $277
Thus, the correct option is A.
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The Discovery channel television show MythBusters conducted an experiment to study what
happens when buttered toast is dropped on the floor. When 48 buttered slices of toast were
dropped, 29 of them landed with the buttered side up and 19 landed with the buttered side
down. Use a 0.05 significance level to test the claim that toast will land with the buttered side
down 50% of the time. Write a conclusion that addresses the intent of the experiment.
The toast will land with buttered side 50% of the time.
First,
H₀:p=0.5, H₁: p₀ ≠0.5
P(butttered side down)= 19/51
π₀= 0.5
n= 51
Now, z = (p- π₀)/ √π₀(1-π₀)/n
z= (19/51 -0.5)/√0.5(1-0.5)/51
z= -1.82
as, α= 0.01 and \(z_{\alpha/2\)= 2.58
So, |z| < | \(z_{\alpha/2\)|
Thus, it reject H₀.
Thus, the toast will land with buttered side 50% of the time.
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Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
Find the height of the triangle if the area is 36 m 2
Answer:
Area=1/2bh
Given area of 36m^2
1/2(x)(x-1)=36
Multiply both sides by 2 to remove deminator
(x)(x-1)=72
X^2-x=72
X^2-x-72=0 then factor
(x-9)(x+8)=0
X=9,-8 however since area must be positive, take the absolute value of 8
1/2(9m*8m)=36m^2
Jim Goodman, an employee at Walgreens earned 35,000 an increase of 17.6% over the previous year. What were Jim’s earnings the previous year? ( round to the nearest cent)
Last year earnings = X
Present Year earnings = $35,000
Increase = 17.6% = 0.176
\(X\cdot(1+0.176)=35000\)This means, that last year earnings multiply by 1.176 equals the present earnings
If we solve for x:
\(x=\frac{35000}{1.176}=29761.90\)We found that last year Jim used to earn $29,761.90
63,416,831 to the nearest ten thousand help p
Suppose MarketOne is a marketing company that has small businesses for clients. MarketOne charges an upfront cost of $350 for new clients and an additional $195 per month to run and maintain the client's website. A linear equation could be used to relate the total cost, in dollars, of MarketOne's services and the number of months that the client's website is running. Which solution is viable for this situation? For full points, write the equation and show your work.
PLEASE ANSWER FAST!!!!!
Answer:
Step-by-step explanation:
if the function is x the answer is 1 hope it helps
n the circle below, if arc AC = 60 °, and arc BD = 148 °, find the measure of < BPD.
Using the diagram below, the angles of intersecting chords theorem states that
Then,
\(\begin{gathered} \Rightarrow\angle1=\frac{1}{2}(\angle arc(AB)+\angle arc(CD)) \\ and \\ \angle2=\frac{1}{2}(\angle arcBC+\angle arcDA) \end{gathered}\)Furthermore, since angles <1 and <3, and <2 and <4 are two pairs of vertical angles,
\(\begin{gathered} \angle1\cong\angle3 \\ and \\ \angle2\cong\angle4 \end{gathered}\)Thus, in our case,
\(\angle BPD=\frac{1}{2}(\angle arcAC+\angle arcBD)=\frac{1}{2}(60+148)=104\)Therefore, the answer is 104°, option d.
You randomly observe purchases at a candy store and record the weight of each bag of candy with 100 different customers. You find the proportion of weights greater than 2 pounds. Is investigating this sample proportion the same as investigating the sampling distribution of the proportion?No, the sample comes from only one store. The sample needs to be expanded to multiple candy stores.Yes, the customers will most likely purchase different weights of candy, and the different amounts will be evenly distributed.No, the sampling distribution of the proportion is the distribution of the proportions from all samples, not just one.Yes, at least 100 customers were observed.
Solution
No, the sampling distribution of the proportion is the distribution of the proportions from all samples, not just one.
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 42 and a standard deviation of 10. Using the empirical (68-95-99.7) rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 52
Answer:
81.5% of 1-mile long roadways with potholes numbering between 22 and 52
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 42, standard deviation of 10.
The normal distribution is symmetric, so 50% of the measures are below the mean and 50% are above the mean
Approximate percentage of 1-mile long roadways with potholes numbering between 22 and 52:
22 = 42 - 2*10
So 22 is two standard deviations below the mean. Of the 50% of the measures that are below the mean, 95% are between two standard deviations below the mean(22) and the mean(42).
52 = 42 + 10
So 42 is one standard deviation above the mean. Of the 50% of the measures that are above the mean, 60% are between the mean(42) and one standard deviation above the mean(52).
In the desired interval, the percentage is:
\(P = 0.5*0.95 + 0.5*0.68 = 0.815\)
81.5% of 1-mile long roadways with potholes numbering between 22 and 52
what is the sum that I'm supposed to do?
Answer:
a: 1/8 and 1/4. b: 1/2 1/4. c: 1/1 and 5/12. d: 1 1/2 and 3/4
Step-by-step explanation:
You had to find 2 fractions that add up to a number between the two numbers listed.
The product of 4 and 8 is add to 15
Answer:
47...
Step-by-step explanation:
the product of 4 and 8 is 32 and added 15 then it is 47.
Answer:
47
Step-by-step explanation:
4*8+15=32+15=47 (by BODMAS rule)
Find the area of the figure. (Sides meet at right angles.)
7 yd
3 yd
2 yd
4 yd
10 yd
3 yd
yd
7yd
62 square yards is the area of the figure.
What is Area?Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape
In the given figure there are three rectangle in that two are smaller rectangles squares.
The rectangle has length of 10 yd and width of 5 yd.
Area of rectangle (Large)=10×5
=50 square yds
The side length of smaller rectangle is 3 yards and width is 2 yd
Area of rectangle (small)=3×2
6 square yds.
As there are two smaller rectangles, then area will be 2(6)=12 yards.
Now total area = 50+12
=62 square yards.
Hence, the area of the figure is 62 square yards.
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Choose the equation that represents the solutions of 0 = 0.25x² - 8x. 0.25± √(0.25)² - (4)(1)(-8) 2(1) O O X = X = X = X = -0.25± √√(0.25)² – (4)(1)(-8) 2(1) 8± √(-8)²-(4)(0.25) (0) 2(0.25) -8± √(-8)²-(4)(0.25)(0) 2(0.25)
The given equations represent the solutions of 0 = 0.25x² - 8x
What is an equation?An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.
Redirecting to answer:
The equation 0 = 0.25x² - 8x can be rewritten as:
0.25x² - 8x = 0
Factoring out x gives:
x(0.25x - 8) = 0
So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.
Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x
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A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answer:
height = 9.19 ft
Step-by-step explanation:
The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.
The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,
Using ratio
sin ∅ = opposite/hypotenuse
sin ∅ = opp/13
sin 45° = opp/13
cross multiply
13 sin 45 = opp
opp = 13 × 0.70710678118
opp = 9.19238815543
height = 9.19 ft
OrYou can use the following base on your equation(y = 13 cos ∅)
The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.
The adjacent side of the triangle will be the unknown side if we use cosine ratio.
cos ∅ = adjacent/hypotenuse
cos 45° = adjacent/13
cross multiply
From your equation you represented adjacent as y therefore,
y = 13 cos 45°
y = 13 × 0.70710678118
y = 9.19238815543
y = 9.19 ft (which is the required height)
let C be the curve y=5sqrtx for 1.1
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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1.3 X 2.1 = Explain your answer.
2.73
1.3x2.1=2.73
1.3
x2.1
13
+26
2.73
Answer:
To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:
a × (b + c) = a × b + a × c
Using this property, we can break down 2.1 as the sum of 2 and 0.1:
1.3 × 2.1 = 1.3 × (2 + 0.1)
= 1.3 × 2 + 1.3 × 0.1
= 2.6 + 0.13
= 2.73
Therefore, 1.3 multiplied by 2.1 equals 2.73.
Please help fast !!
If m/CGB = 78°, then what is m/DGA?
Answer:37
Step-by-step explanation: The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, --That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn, that mankind are more disposed to suffer, while evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed. But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security.--Such has been the patient sufferance of these Colonies; and such is now the necessity which constrains them to alter their former Systems of Government. The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. To prove this, let Facts be submitted to a candid world.
Find the distance between (5, -7) and (-2,-4)
Answer: 7.62
Step-by-step explanation:
13,5,11,8,14,15
please find the median!!
Answer:
The answer is twelve :)))
Answer:
12
Step-by-step explanation:
what is the best answer that can add 500divdied by 1010 but also as a fraction
PLS ANSWER IF UR GOOD AT GEOMETRY
DO THESE QUESTIONS PLS
Answer:
D.By finding the unit rate and multiplying it by 7.dasdsa
dasdaStep-by-step explanation:
cdac
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
cm
Answer:
75.27
Step-by-step explanation:
Rectangle = 20+2+2+20-11=47
quarter circle = 1/4(2)(11)(3.14)=17.27 + 11 = 28.27
47+28.27=75.27
Answer:
75.27.cm
Step-by-step explanation:
it works i got a 100 on the test
40 POINTS PLEASE HELP
Answer:
the first, 3rd and second to last
those are not right sorry
Answer:
the first, 3rd and second to last
Step-by-step explanation:
Describe two factors that make a prediction reasonable
Answer:
Predicting requires the reader to do two things: 1) use clues the author provides in the text, and 2) use what he/she knows from personal experience or knowledge.
Step-by-step explanation:
Two factors that make a prediction reasonable are the support of the evidence or context or the presence of knowledge in that stream.
What is a prediction?Prediction is the act of speculating about future events or possible character behavior based on information from a text. a crucial aspect of the understanding.
A statistical method is known as correlation is used to quantify and explain a link between two variables. The two variables are often just observed, not changed.
Correlations serve as the foundation for linear regression. Then one may utilize linear regression to forecast dependent variable results for people not included in the data set you have. Its predictive power decreases as its correlation factor increases in absolute value.
The significance level of one dependent variable can also be predicted using the metrics of multiple independent variables at the same time, which is another common use.
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3. A pound of flour costs $12. How many ounces of flour can be purchased for $3.30?
With a pound of flour costing $12 and considering that there are 16 ounces in a pound, the cost per ounce is $0.75. Thus, for $3.30, you can purchase 4.4 ounces of flour.
To find out how many ounces of flour can be purchased for $3.30, we need to determine the cost of one ounce of flour.
Given that a pound of flour costs $12, we know that there are 16 ounces in a pound (since there are 16 ounces in 1 pound). So, the cost of one ounce of flour can be calculated as:
Cost of one ounce of flour = Cost of one pound of flour / Number of ounces in one pound
Cost of one ounce of flour = $12 / 16 ounces
Cost of one ounce of flour = $0.75
Therefore, the cost of one ounce of flour is $0.75.
To determine how many ounces of flour can be purchased for $3.30, we divide the total amount of money by the cost of one ounce of flour:
Number of ounces of flour = Total money / Cost of one ounce of flour
Number of ounces of flour = $3.30 / $0.75
Number of ounces of flour ≈ 4.4 ounce
Therefore, for $3.30, approximately 4.4 ounces of flour can be purchased.
In summary, with the given cost of $12 for a pound of flour, and knowing that there are 16 ounces in a pound, we find that one ounce of flour costs $0.75. Thus, for $3.30, approximately 4.4 ounces of flour can be purchased.
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need help real baddddddddddddd
Answer:
x≥2 and x<2 : ∅
x≥2 or x<2 : All real numbers
x≤2 and x≥2 : 2
Step-by-step explanation:
the first one must follow both conditions, so no number would work.
the second one works with any number, so all real numbers.
the third one has only one condition that works, 2
Please help, I will give brainliest to the fisrt person to answer CORRECTLY.
The number of groups of 7/4 that are in 1 is 4/7.
The value of 3 ÷ 7/4 is 5 1/4.
What are the quotients?In order to determine the number of groups of 7/4 that are in 1, divide 7/4 by 1.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
1 ÷ 7/4
= 1 x 4/7 = 4/7
3 ÷ 4/7
3 x 7/4 = 21/4 = 5 1/4
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Answer:
4/4 groups and 12/7
Step-by-step explanation:
\(1. \: 3 \times \frac{4}{7} \\ 2. \: \frac{3 \times 4}{7} \\ 3. \: \frac{12}{7} \)