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3 years ago

Collin did the work to see if 10 is a solution to the equation r/4=2.5

Mathematics

1 answer:

Natasha2012 [34]3 years ago

3 0

Answer:

Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.

Step-by-step explanation:

$\frac{r}{4} = 2.5 \\ lhs = \frac{r}{4} \\ = \frac{10}{4} \\ = 2.5 \\ = rhs \\ \therefore \: \frac{r}{4} = 2.5 \\$

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Caroline won $205000 in a lottery. After paying $96000 in taxes, she placed the remaining amount in a savings account at a 2% in

natka813 [3]

Answer: $1090

Step-by-step explanation:

Since Caroline won $205000 in a lottery and then paid $96000 in taxes, the remaining amount will be:

= $205000 - $96000

= $109000

The interest that the account will earn after just 6 months will be:

Interest = PRT

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= 109000 × 0.02 × 0.5

= $1090

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2 years ago

Find the area and the circumference using 3.14

Gwar [14]

A= 50.27 because the formula is pi times radius squared
C= 24.13 because the formula is 2 times pi times radius

8 0

3 years ago

Write an expression to represent the sum of three times the square of a number and -7 . In your expression what is the value of

stich3 [128]

Answer:

Step-by-step explanation:

3x^2-7

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2 years ago

What is the diameter of a hemisphere with a volume of 2233\text{ cm}^3,2233 cm 3 , to the nearest tenth of a centimeter?

Agata [3.3K]

Answer:

The diameter of the hemisphere is 20.4 centimeters.

Step-by-step explanation:

The volume of an hemisphere is given by:

$V = \frac{2 \pi r^{3}}{3}$

In this problem, we have that:

$V = 2233$

$\frac{2 \pi r^{3}}{3} = 2233$

$2\pi r^{3} = 3*2233$

$r^{3} = \frac{3*2233}{2\pi}$

$r = \sqrt[3]{\frac{3*2233}{2\pi}}$

$r = 10.2$

The radius is 10.2 centimeters.

The diameter is double the radius. So:

2*10.2 = 20.4

The diameter of the hemisphere is 20.4 centimeters.

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3 years ago

I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

KATRIN_1 [288]

Answer:

The circumference of the yellow circle is $9\pi$ or $28.27cm^2$ approximately, the circumference of the blue circle is $6\pi$ or $18.85m^2$ approximately, the circumference of the green circle is $80\pi$ or $251.33mm^2$ approximately, the circumference of the red circle is $5\pi$ or $15.71cm^2$ approximately, and the circumference of the pink circle is $7\pi$ or $21.99cm^2$ approximately.

Step-by-step explanation:

To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by $\pi$ . In this case, the circumferences of the yellow circle are $9\pi$ or approximately $28.27cm^2$ , the circumference of the blue circle is $6\pi$ or approximately $18.85m^2$ , the circumference of the green circle is $80\pi$ or approximately $251.33mm^2$ , the circumference of the red circle is $5\pi$ or approximately $15.71cm^2$ , and the circumference of the pink circle is $7\pi$ or approximately $21.99cm^2$ .

8 0

3 years ago