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2 years ago

What is the Area of the compound shape below? *

Mathematics

1 answer:

Ray Of Light [21]2 years ago

7 0

Answer:

22m²

Step-by-step explanation:

2 wide, 9 height is 18 for the rectangle figure. We see that the rectangle figure has a width of 2 while the entire width is 4. So 4-2 means the width of the right triangle that's split off is 2.

We see the rectangle height is 5, and total figure is 9, so 9-5 = height of 4 for the triangle.

4x2 x 1/2(since its a triangle) = 4

4+18 = 22

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What is the approximate length of RP? round to nearest tenth <br> HELP ASAP ONLY 5 MINUTES LEFT

N76 [4]

Here 12.9'[''''''''''''''''''''''''''''''''

7 0

3 years ago

Is 8 a unique solution to the equation 3(x-6) =<br><br> 3x/4

ladessa [460]

Answer:

yes

Step-by-step explanation:

3(x - 6) = $\frac{3x}{4}$ ( multiply both sides by 4 to clear the fraction )

12(x - 6) = 3x , distribute left side

12x - 72 = 3x ( subtract 3x from both sides )

9x - 72 = 0 ( add 72 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

x = 8 is the only solution and is therefore unique

4 0

2 years ago

Read 2 more answers

You apply for a job and have to take a drug test. You are curious about the error rate for the test so you do some research. You

Ber [7]

Answer:

Test statistic Z = -1.0

|Z| = |-1.0| < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

Step-by-step explanation:

Given that the population proportion P = 14% =0.14

Given that the sample size 'n' = 382 tests

Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).

Sample proportion

$p = \frac{x}{n} = \frac{47}{382} = 0.1230$

Null hypothesis: H₀ : P = 0.14

Alternative Hypothesis:H₁ : P≠ 0.14

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }$

Z = - 1.0

|Z| = |-1.0| < 1.96 at 0.05 level of significance.

<u><em>Final answer:-</em></u>

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

4 0

3 years ago

16. Which is greater, 4^-2 or<br> 2^-4? How do you know?<br> Those are exponents.

gladu [14]

Answer:

Both are equal to $\frac{1}{16}$

Step-by-step explanation:

If the exponent is negative we can turn it into a fraction and make it positive.

This means the number goes to the denominator and the numerator becomes one. Therefore the following.

$4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}$

$2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}$

4 0

3 years ago

The perimeter of a rectangle is 24 m. The length is 30 m less than five times the width. Find the dimensions of the rectangle. L

Len [333]

Answer:

<h2>width = 7 m</h2><h2>length = 5 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

6 0

3 years ago