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vekshin1
2 years ago
12

What is the measure of the base of the rectangle if the area of the triangle is 32 ft2 ?

Mathematics
2 answers:
irga5000 [103]2 years ago
5 0

Answer:

The measure of the base of the rectangle if the area

of the triangle is 32 ft2 is <u>8 feet</u>

Step-by-step explanation:

4x=32

\frac{32}{4}=8

Thus, <u>8 feet</u> is your answer

kkurt [141]2 years ago
3 0
The correct answer is going to be 8 feet.
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I believe you meant to have...
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IM IN NEED OF HELP ASAP!!
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40 points and brainliest to the best correct answer, questions in photo.
vodomira [7]

Answer:

2. w = -3

4. c = -2

6. r = 7

8. n = 4

Step-by-step explanation:

It's hard to read the photo, but I'll try.

2.

2^{w + 4} \times 2^{4w + 6} = 2^{2w + 1}

On the left side, you have a product of 2 powers with the same base.

Give the same base and add the exponents, as in the rule

a^m \times a^n = a^{m + n}

You get on the left side 2 to the sum of the exponents.

2^{w + 4 + 4w + 6} = 2^{2w + 1}

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Now we have another rule we can use. If two powers are equal, and their bases are equal, then the exponents must be equal.

Here, 2 to the power 5w + 10 equals 2 to the power 2w + 1. Since both bases are 2 and are equal, then the exponents must be equal.

5w + 10 = 2w + 1

Subtract 2w from both sides. Subtract 10 from both sides.

3w = -9

Divide both sides by 3.

w = -3

4.

\dfrac{1}{5} = 5^{2c + 3}

We need to write the left side as a power of 5. Then we equate the exponents like we did in problem 2.

Recall the rule:

a^{-n} = \dfrac{1}{n}

Apply this rule to the left side in reverse.

5^{-1} = 5^{2c + 3}

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6.

216 = 6^{2r - 11}

This is the same idea as problem 4. Write the left side as a power of 6.

6^3 = 6^{2r - 11}

2r - 11 = 3

2r = 14

r = 7

r = 7

8.

4^{n} \times 4^{2n - 9} = 64

This problem is similar to problem 2.

4^{n + 2n - 9} = 4^3

4^{3n - 9} = 4^3

3n - 9 = 3

3n = 12

n = 4

4 0
2 years ago
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