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3 years ago

ik to use the pythagoream theorem, but idk how to set it up and therefore solve the problem? could someone pls help :))

Mathematics

1 answer:

mihalych1998 [28]3 years ago

5 0

Answer:

52.2

Step-by-step explanation:

Light reflects off a mirror at the same angle it hits it at (as shown in the image). Since both triangles are right triangles, we can say they are similar by AA similarity.

Since they're similar, we can write a proportion.

HT / TV = JS / SV

Plugging in values:

5.8 / 4 = JS / 36

JS = 52.2

The wall is 52.2 feet tall.

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There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the

vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = $\frac{\textup{56 + 57 + 58 }}{\textup{3}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}$

Variance = $\frac{1+0+1}{\textup{2}}$

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = $\frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}$

Variance = $\frac{1+0+1+0}{\textup{3}}$

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

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3 years ago

You spent $10 on office supplies out of a $25 budget.What percent of your budget did you spend?

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3 years ago

What is the equation of the line that passes through the points (-1,3) and (1,11)?

marta [7]

Answer:

y=4x+7

Step-by-step explanation:

You can find the slope of the line by using the formula of change and y over change in x. ∆y/∆x OR (y2-y1)/(x2-x1)

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You can check this equation by plugging in the unused coordinate (1,11) and find it balances.

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Answer:

Step-by-step explanation:

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3 years ago

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