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svp [43]
2 years ago
15

The ratio of the lengths of the two legs of a right triangle is 3:4

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
4 0

<em>Greetings from Brasil... </em>

Check Attachment!!!

According to the statement of the question, we have:

a/b = 3/4

<em>Note that according to the attached figure, </em><em>b > a</em><em>, then the correct proportion will be </em><em>a</em><em> to </em><em>3</em><em>, as well as </em><em>b</em><em> to </em><em>4</em><em>, because </em><em>b > a</em><em> and </em><em>4 > 3</em>

Isolating a and b:

a = 3b/4

b = 4a/3

From Pythagoras:

h² = a² + b² - as a = 3b/4 and b = 4a/3, so

<h3>b = 4h/5</h3><h3>a = 6h/5</h3>

For Area:

A = b.a/2

as b = 4h/5 and a = 6h/5, so

<h3>A = 12h/25</h3>

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agasfer [191]
Katie has enough bricks because it only takes 12,948 bricks to build the wall. To get 12,948, you will multiply 332 by 39. So basically you are multiplying the width by how tall it is.
4 0
4 years ago
Read 2 more answers
What's the ratio if you have 3.5 to 17
lukranit [14]
=3.5:17
3.5×10 to remove decimal point then u multiply 17 by 10 too
=35:170
then you simply yo get 7:34
3 0
4 years ago
The price-demand and cost functions for the production of microwaves are given as
Nikolay [14]

Answer:

<u>ALTERNATIVE 1</u>

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-60x² + 275x) - (50000 + 30x)

P(x) = -60x² + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - 60x)

R(x) = -60x² + 275x

d. Find the marginal revenue function in terms of x.

R'(x) = (-60 · 2x) + 275

R'(x) = -120x + 275

The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60

<u>ALTERNATIVE 2</u>

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-x²/60 + 275x) - (50000 + 30x)

P(x) = -x²/60 + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - x/60)

R(x) = -x²/60 + 275x

d. Find the marginal revenue function in terms of x.

R(x) = -x²/60 + 275x

R'(x) = -x/30 + 275

7 0
3 years ago
What’s the derivative of 3g(x) <br><br><br> Is it just 3g’(x)
storchak [24]
Use the product rule.

3•g'(x) + g(x)•(0)

3g'(x) + 0

Answer: 3g'(x).
5 0
4 years ago
If a research team increases the sample size for a study, the power of their statistical tests will:
Viktor [21]

Answer: c) increase

Step-by-step explanation:

  • A sample is a finite subset of the entire population on which research statistical test regarding his/ her objective .

As the sample size increases it comes closer to the population size, and so converge to a better result of researcher's analysis.

It means the size of the sample is proportional to the power of their statistical tests.

∴ As the size of the sample increases the power of statistical test increases.

Hence, If a research team increases the sample size for a study, the power of their statistical tests will <u>increases</u>.

Therefore , the correct answer is : c) increase

3 0
3 years ago
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