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2 years ago

14

How do you simplify or evaluate expressions?

1 answer:

Vikentia [17]2 years ago

4 0

Answer is given above

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What is the surface area of the sphere

belka [17]

To solve for surface area of a sphere, the formula is 4*pi*r^2 where "r" is the radius. Since we know the diameter and that it is the length across the sphere, and that the radius is the distance from the center to the edge, we can divide the diameter by 2 to get the radius. This shows the radius is 5. Now all we have to do is substitute in the 5 for the "r" and solve.

SA=4*pi*r^2
SA=4*pi*5^2
SA=314.159

We are rounding to the hundredth here, so we can say the surface area of the sphere is (A) approximately 314.16 square miles.

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3 years ago

Identify the coordinates of point A after a translation with rule

den301095 [7]

To identify the new coordinates after the translation I need the old coordinates

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3 years ago

Read 2 more answers

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in st

Assoli18 [71]

Answer:

$\frac{AB}{BC} = \frac{CE}{ED}$

Step-by-step explanation:

Given

The attached proof

Required

Complete the missing piece

In (a), we have:

$\triangle ABC \to \triangle CED$

This implies that, the following sides are similar:

$AB \to CE$

$AC \to CD$

$BC \to ED$

An equation that compares the triangle can be any of:

$\frac{AB}{BC} = \frac{CE}{ED}$

$\frac{AB}{AC} = \frac{CE}{CD}$

.....

From the options;

$\frac{AB}{BC} = \frac{CE}{ED}$ is true

5 0

2 years ago

Solve each if the given equalities<br>2x + 5<-3

Zarrin [17]

Answer:

x < − 4

Step-by-step explanation:

Solve by:

Factoring, substituting for variables, then simplify!

Hope this helps!!

8 0

2 years ago

If a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month, wha

Rina8888 [55]

Answer:

A. $7.17

Step-by-step explanation:

We have been given that a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nT}$ where,

A = Final amount after T years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Periods of compounding,

T = Time in years.

Let us multiply our given rate by 12 to get APR and convert it in decimal form.

$APR=12\times 1.5\%$

$APR=18\%$

$18\%=\frac{18}{100}=0.18$

Since 1 year equals 12 months, so 1 month will be 1/12 year.

Upon substituting our given values in above formula we will get,

$A=477.95(1+\frac{0.18}{12})^{12\times\frac{1}{12}}$

$A=477.95(1+0.015)^{1}$

$A=477.95(1.015)$

$A=485.11925$

Now let us subtract principal amount from the final amount to get the monthly interest charge at the end of 1st month.

$\text{The monthly interest charge be at the end of the first month}=485.11925-477.95$

$\text{The monthly interest charge be at the end of the first month}=7.16925\approx 7.17$

Therefore, the monthly interest charge be at the end of the first month will be $7.17 and option A is the correct choice.

4 0

3 years ago