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marishachu [46]
3 years ago
12

Help..? Pleaseee , it has to do with the Pythagorean Theorem. But I have no idea how to do it

Mathematics
1 answer:
Rudiy273 years ago
7 0
Pythagorean Theorem is

a ²+ b ² = c ²

a and b are the shorter sides, while c is the hypotenuse, or longest side. Let’s say the side we are looking for is “b”.

Let’s first rearrange the equation, then sub in.

a ²+ b ² = c ²
b ² = c ²- a ²
b = √ (c ²- a ²)
b = √(17 ²- 15 ²)
b = √(289-225)
b = √ 64
b = 8
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F= 8/5 (c) + 40 when c=5
Molodets [167]

Answer:

F = 48

Step-by-step explanation:

F= 8/5 (c) + 40

Let c=5

F = 8/5 * 5 +40

  = 8 + 40

  = 48

6 0
3 years ago
Read 2 more answers
There are 84 boys in the 6th grade class. If boys make up 30% of the 6th graders, how many students are in this whole 6th grade
koban [17]
<h3>Answer:  280</h3>

Work Shown:

x = number of students in the 6th grade class

30% = 30/100 = 0.30

30% of x = 0.30x this is equal to 84 since "30% of the 6th graders are boys (and there are 84 boys in sixth grade)", so we say 0.30x = 84

Divide both sides by 0.30 to isolate x

0.30x = 84

0.30x/0.30 = 84/0.30

x = 280

So there are 280 students overall in the 6th grade class.

7 0
3 years ago
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What is the surface area of this prism? A. 976 cm2 B. 960 cm2 C. 488 cm2 D. 736 cm2
Vikki [24]

Answer:

The answer is C, 488 cm2

Step-by-step explanation:

5 0
3 years ago
The final cost of a sale item is determined by multiplying the price on the tag by 75%.which best describes the function that re
AnnZ [28]

Answer:

4V = 3U

Step-by-step explanation:

The final cost of a sale item is determined by multiplying the price on the tag by 75%.

Let us assume that the final cost of the sale item is V and the price on the tag is given by U.

Then the equation that best describes the function that represents the situation is V = \frac{75U}{100} =\frac{3U}{4}

⇒ 4V = 3U  (Answer)

3 0
3 years ago
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
Drupady [299]

Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

a(a'(d)) = a'(a(d)) = d

Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

Substitute \frac{d}{5} + \frac{3}{5} for d in  a(d) = 5d - 3

a(a'(d))  = 5(\frac{d}{5} + \frac{3}{5}) - 3

a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

a(a'(d))  = d + 3 - 3

a(a'(d))  = d

Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

7 0
2 years ago
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