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marin [14]
3 years ago
11

1. The Hamiltons are installing a new pool in their backyard. The scale drawing below represents the new pool, where 1 centimete

r represents 5 feet. 4 cm 6 cm If the area of the Hamiltons' backyard is 900 square feet, how many square feet of their backyard will NOT be taken up by the pool? Round your answer to the nearest whole number.​
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

175

Step-by-step explanation:

Because why would i lie?

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Please help! Solve each equation with its indicated method. Please show your work and upload a picture. Thank you!
Shalnov [3]

Refer to the attachment

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The rectangle is divided into equal parts. what is the name of the equal parts
Tom [10]
Be more specific as in how many parts it is split into.
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Using the formula: A=p(1+r)t How much money will Mario have if he puts $1000 in a savings account earning 4% annually after 10 y
steposvetlana [31]

Answer:

The amount is $1480.24

Step-by-step explanation:

We are given

he puts $1000 in a savings account earning 4% annually after 10 years

so,

P=1000

r=4%=0.04

t=10

now, we can use formula

A=P(1+r)^t

now, we can plug values

A=1000(1+0.04)^{10}

A=1480.24428

So,

The amount is $1480.24

4 0
3 years ago
Read 2 more answers
A survey of high schools offering honors classes to ninth graders reveals that 38% of the high schools offer no honors classes,
Greeley [361]

Using the discrete distribution, it is found that the probability that it offers an even number of honors classes is of 0.68.

<h3>What is the discrete probability distribution?</h3>

The distribution for the number of honors classes the school offers is given by:

  • P(X = 0) = 0.38
  • P(X = 1) = 0.12.
  • P(X = 2) = 0.25.
  • P(X = 3) = 0.2.
  • P(X = 4) = 0.05.

Hence the probability of an even number is given by:

P(even) = P(X = 0) + P(X = 2) + P(X = 4) = 0.38 + 0.25 + 0.05 = 0.68.

More can be learned about discrete probability distributions at brainly.com/question/24802582

#SPJ1

3 0
2 years ago
A cylindrical can, open at the top, is to hold 840 cm3 of liquid. Find the height and radius that minimize the amount of materia
ycow [4]

Answer:

the radius of the base is equal to x=2\sqrt[3]{\frac{105}{\pi } }

And the height is equal to:

y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }

Step-by-step explanation:

We write the volume function

f(x,y)=840=\pi x^{2} y where x is the radius of the base and y is the height of the cylinder

y=\frac{840}{\pi x^{2} }

The surface of a cylinder is given by

S(x)=\pi x^{2} +2\pi xy=\pi x^{2} +\frac{1680}{x} on the interval from 0 to infinity

We now determine the critical values by differentiating and making the equation equal to 0

f'(x)=2\pi*x- \frac{1680}{x^{2}} =\frac{2\pi x^{3}-1680}{x^{2} } =0

This equation have 2 complex solutions and one real solution

x=2\sqrt[3]{\frac{105}{\pi } }

For x=0 and infinity the equation goes to infinity also so the radius of the base is equal to x=2\sqrt[3]{\frac{105}{\pi } }

And the height is equal to:

y=\frac{840}{\pi (2\sqrt[3]{\frac{105}{\pi } })^{2} }

y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }

7 0
3 years ago
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