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4 years ago

A circular room has a floor surface area of 400 square feet

Mathematics

1 answer:

faltersainse [42]4 years ago

8 0

Consider this explanation:
1) for radius (r):
S=πr², where S - area, r - radius. ⇒ r=√(S/π)=√400=20 ft.;
2) for circumference (L):
L=2πr, where r- radius ⇒ L=2π*20=40π ft.;
3) for the diameter (D):
D=2r, where r - radius, ⇒ D=40 ft..

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a fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closest to

gregori [183]

Answer:

The volume of the water in the fishbowl is equal to

$(682\frac{2}{3})\pi\ in^{3}$ or $2,144.6\ in^{3}$

Step-by-step explanation:

we know that

The volume of the sphere (a fishbowl) is equal to

$V=\frac{4}{3}\pi r^{3}$

In this problem we have

$r=16/2=8\ in$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}\pi (8^{3})=\frac{2,048}{3}\pi\ in^{3}$

convert to mixed number

$\frac{2,048}{3}\pi\ in^{3}=\pi (\frac{2,046}{3}+\frac{2}{3})=(682\frac{2}{3})\pi\ in^{3}$

$(3.14156)*(682\frac{2}{3})=2,144.6\ in^{3}$

6 0

4 years ago

Read 2 more answers

Solve 2x + 5y = –13. 3x – 4y = –8

disa [49]

If you would like to solve 2x + 5y = - 13 and 3x - 4y = -8, you can do this using the following steps:

2x + 5y = -13 /*4
3x - 4y = -8 /*5
_________________
8x + 20y = -52
15x - 20y = -40
_________________
8x + 15x + 20y - 20y = -52 - 40
23x = -92 /23
x = -92 / 23
x = -4

2x + 5y = -13
2 * (-4) + 5y = -13
-8 + 5y = -13
5y = -13 + 8
5y = -5
y = -1

(x, y) = (-4, -1)

The correct result would be D.) (-4, -1).

8 0

3 years ago

Read 2 more answers

Select all instances in which the variable described is binomial.

tino4ka555 [31]

Answer: a. , c. , d., e.

Step-by-step explanation:

A variable that counts how many times a certain event occurs in a particular number of trials is known as binomial random variable.

For each trial, there exist only two outcomes .

The probability of for each event is the same on each trial.

a. Event has two outcomes with same probability as 0.50, therefore the random variable represents the total number of flips required to get tails is a binomial random variable.

b. Total guidelines are 5.

Here total outcomes are not 2 , it does not meet with the conditions of binomial.

c. The random variable represents the total number of children from this pair of parents with blue eyes has two outcomes (where has or not.)

also, the probability of having blue eyes is same in each trial, so it represents binomial random variable.

d. The random variable represents the total number out of 567 customers with a checking account has two outcomes (checking or savings).

So, it represents binomial random variable.

e. The random variable represents the total number of ace cards observed has two outcomes ( ace or not ace).

So it represents the binomial random variable.

7 0

3 years ago

What is the y intercept if y=3/4x+2

Furkat [3]

It is in y intercept form
y = mx + b
where b is the y intercept

y = 3/4 x + 2
so b = 2

therefore the y intercept is 2

3 0

3 years ago

I WILL MARK BRAINLIEST!!!!!! A direct variation function includes the ordered pair (4, 5). If y varies directly with x, and y is

nignag [31]

Answer: x=5

Step-by-step explanation:

$\frac{2}{14} =\frac{x}{35}$

$\frac{x}{35}=\frac{2}{14}$

simplify

$\frac{x}{35}=\frac{1}{7}$

multiply 35 on both sides

$\frac{35x}{35}=\frac{1\cdot \:35}{7}$

$\frac{1}{7} \cdot 35=5$

x=5

6 0

3 years ago