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3 years ago

Find the height of a rectangular prism if the surface area is 868, the width is 7 and the length is 31.

Mathematics

1 answer:

Aneli [31]3 years ago

7 0

Answer:

Step-by-step explanation:

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Help with this question please? Step by step?

Alja [10]

1.44+38+x=180
2.82+x=180
3.180-82=98
4. 98/2-3=34.7

3 0

3 years ago

5x-10+12x-14=180 what is x

Naddika [18.5K]

5x+12x=180+10+14
17x=204
x=12

5 0

3 years ago

Read 2 more answers

Write the equation of a circle in standard form with center ( -2,4) and radius 6. Show your work.

grigory [225]

Answer:

( x + 2 )² + ( y - 4 )² = 36

Step-by-step explanation:

Standard equation of a circle - ( x - h )² + ( y - k )² = r²

where r = radius and center is at ( h , k )

The given center is ( -2 , 4 )

Thus h = -2 and k = 4

and the given radius is 6

Thus, r = 6

that being said, we plug in the given values into the standard equation

( x - ( - 2 )² + ( y - 4 )² = 6²

Finally we simplify

In - ( -2 ) the two negative signs cancel out and it turns into + 2

6² = 36

The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36

8 0

2 years ago

∠R and ∠S are complementary. If m∠R = (2x+7) and m∠S = (4x - 13), find m∠R

____ [38]

Answer:

m∠R = 39 degrees

Step-by-step explanation:

As complementary angles add up to 90 degrees, we can set up an equation to get x then find the measure of ∠R:

m∠R + m∠S = 90

2x+7+4x-13=90

6x+7-13=90

6x-6=90

6x=96

x=16

Since m∠R = (2x+7), 2x+7 would be 2(16)+7 or 39 degrees. So in conclusion, m∠R = 39 degrees

3 0

3 years ago

Read 2 more answers

A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if th

My name is Ann [436]

Answer:

C. $x\geq 55000$

Step-by-step explanation:

Let x be the total monthly sales.

We have been given that a salesperson earns a salary of $700 per month plus 2% of the sales. The salesperson want to have a monthly income of at least $1800.

This means that 700 plus 2% of total monthly sales should be greater than or equal to 1800. We can represent this information in an equation as:

$700+(\frac{2}{100})x\geq 1800$

$700+0.02x\geq 1800$

Let us solve our inequality to find the monthly sales (x).

Subtract 700 from both sides of our inequality.

$700-700+0.02x\geq 1800-700$

$0.02x\geq 1100$

Divide both sides of inequality by 0.02.

$\frac{0.02x}{0.02}\geq \frac{1100}{0.02}$

$x\geq \frac{1100}{0.02}$

$x\geq 55000$

Therefore, the total monthly sales must be greater than or equal to 55,000 and option C is the correct choice.

5 0

3 years ago