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2 years ago

What is the area of the figure?

Mathematics

1 answer:

rewona [7]2 years ago

3 0

Answer:

57 square feet

Step-by-step explanation:

Split the boxes into two parts.

One box measuring 11.5 ft long and 3 ft wide. (Box A)

The second box measuring 7.5 ft long and 3 ft wide. (Box B)

Area (figure) = Area of box A + Area of box B

Area of box A

3 × 11.5 = 34.5 ft²

Area of box B

3 × 7.5 = 22.5 ft²

Area of figure = 34.5 + 22.5

Area of figure = 57 ft²

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True congruent means the same

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1 year ago

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Need help to write equations for 5, 6 & 7

hoa [83]

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3 years ago

Simplify 4 to the 7th over 5 squared all raised to the 3rd power

alisha [4.7K]

<h2>Answer:</h2>

$\left(\frac{4^{21}}{5^6}\right)$

4 to the 21st over 5 to the 6th.

<h2>Step-by-step explanation:</h2>

First, we need to write our expression. Let's do it step by step:

$4^7$

<u>5 squared:</u>

$5^2$

<u>4 to the 7th over 5 squared:</u>

$\frac{4^7}{5^2}$

<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>

<u> $\left(\frac{4^7}{5^2}\right)^3$ </u>

Using the law of exponents:

$\left(\frac{4^{7\times 3}}{5^{2\times 3}}\right) \\ \\ \left(\frac{4^{21}}{5^6}\right)$

Finally, the answer is 4 to the 21st over 5 to the 6th.

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3 years ago

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ASAP! Question 3: The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months aft

Klio2033 [76]

Answer:

First arrange the data in an order

3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21

a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

b.) 82nd percentile = 82(16)/100 = 13th item = 17

c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%

Step-by-step explanation:

3 0

2 years ago

If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third sid

slamgirl [31]

There are two answers:

B) 5

C) 8

==============================================

Explanation:

If we had a triangle with sides a, b and c, then we can say

b-a < c < b+a

where b is larger than 'a'. This is the triangle inequality theorem

In this case, a = 5 and b = 9 so,

b-a < c < b+a

9-5 < c < 9+5

4 < c < 14

Telling us that c is some number between 4 and 14, not including either endpoint. If c is a whole number, then c could be any value from this set: {5,6,7,8,9,10,11,12,13}

We see that the numbers 5 and 8 are in this set. The values 3 and 15 are not in the set.

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2 years ago