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egoroff_w [7]
3 years ago
14

What is the area of the shaded region?

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Hello!

<h2>Answer:</h2><h2 />

\boxed{ \bf The~area~of~the~shaded~region~is~B.~24 mm^2}

______________________________________________________

<h2>Explanation:</h2>

To find the area of the shaded region, we must find the area of the inner white triangle and subtract it from the area of the outer blue one.

Outer:

A = \frac{1}{2}bh

A =  \frac{1}{2}(12 · 5)

A =  \frac{1}{2}(60)

A = 30 mm²

Inner:

A = \frac{1}{2}bh

A = \frac{1}{2}(4 · 3)

A = \frac{1}{2}(12)

A = 6

30 - 6 = 24

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Answer:

10 feet

Step-by-step explanation:

let the ladder be x feet in length

Using the Pythagoras theorem,

6^2+(x-2)^2=x^2

if you solve this you'll get, x = 10

Answered by GAUTHMATH

3 0
3 years ago
A recent survey indicated that the average amount spent for breakfast by business managers was $9.33 with a standard deviation o
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Answer:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3    

Step-by-step explanation:

Information given

\bar X=9.41 represent the sample mean

s=0.24 represent the sample standard deviation

n=81 sample size  

\mu_o =9.33 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is higher than 9.33, the system of hypothesis would be:  

Null hypothesis:\mu \leq 9.33  

Alternative hypothesis:\mu > 9.33  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{9.41-9.33}{\frac{0.24}{\sqrt{81}}}=3    

4 0
3 years ago
You randomly select one card from a 52-card deck. Find the probability of selecting a two or a jack.
Margarita [4]

4 twos and 4 Jack's 4+4=8. 8/52=4/26=2/13

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3 years ago
Michele is purchasing new clothes for soccer practice for the upcoming season. She buys s pairs of shorts at $14.98 each. She al
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Answer:

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In order to make an expression for this word problem, all you have to do is follow along the steps in the problem:

s14.98 represents how many shorts Michele bought and how much they cost

8 * 11.50 represents how many shirts she bought and what they cost, but we need to simplify, so

8 * 11.50 = 92

Therefore, by adding the shorts and shirt together, we get the expression:

s14.98 + 92

Hope this helps :)

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3 years ago
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Answer:

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