1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhannawk [14.2K]
3 years ago
8

a right prism has a square base, a surface area of 512 inches squared, and a height of 12 inches. Find the length of the square

base
Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

8 inches

Step-by-step explanation:

Surface area of a prism is:

S = 2A + Ph

where A is the area of the base, P is the perimeter of the base, and h is the height of the prism.

The base is a square, so A = s² and P = 4s:

S = 2s² + 4sh

Given that S = 512 and h = 12:

512 = 2s² + 4s(12)

512 = 2s² + 48s

256 = s² + 24s

0 = s² + 24s - 256

0 = (s + 32) (s - 8)

s = -32, s = 8

Since s must be positive, s = 8 inches.

You might be interested in
Point P has coordinates (-4, -2) and point Q has coordinates (4, 3).
zimovet [89]

Answer:

-4+-2

6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which is different? Find "both" answers.​
zimovet [89]

Answer : The different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.

Step-by-step explanation :

As see that, AB is a line segment in which point C is represented in between the line.

As we are given that:

AC = 3

CB = 7

So,

AC + CB = 3 + 7 = 10

Similarly,

CA + BC = 3 + 7 = 10

Similarly,

AB = AC + CB = 3 + 7 = 10

But,

BC - AC = 7 - 3 = 4

From this we conclude that, find AC + CB, find AB and find CA + BC are same things while find BC - AC is a different thing.

Hence, the different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.

4 0
4 years ago
Read 2 more answers
What is 78 divided by 2418
lawyer [7]

Answer:

0.0322580645

Step-by-step explanation:

i feel like u meant 2418/78 but ok

4 0
3 years ago
A bird was sitting 5 feet from the base of an oak tree and flew 13 feet to reach the top of the tree. How tall is the tree?
Citrus2011 [14]

Answer:

The tree is 18 feet high.

Step-by-step explanation:

The base was 5 feet away. The bird flew an additional 13 feet.

5+13=18.

5 0
3 years ago
Which shows the expression below in simplified form? (7 × 10-3) - (2.3 × 10-6) A. 6.9977 × 10-3 B. 6.99977 × 10-3 C. 6.9977 × 10
rosijanka [135]

Option A

(7 \times 10^{-3}) - (2.3 \times 10^{-6}) = 6.9977 \times 10^{-3}

<em><u>Solution:</u></em>

Given expression is:

(7 \times 10^{-3}) - (2.3 \times 10^{-6})

To evaluate the expression, let us make the exponent of 10 same

2.3 \times 10^{-6} = 0.0023 \times 10^{-6+3} = 0.0023 \times 10^{-3}

[ Here, decimal point is moved three times left, so add 3 ]

Therefore,

(7 \times 10^{-3}) - (2.3 \times 10^{-6}) = (7 \times 10^{-3}) - (0.0023 \times 10^{-3})

\text{Take the } 10^{-3} \text{ as common }

(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3}(7-0.0023)\\\\\text{ Solve for terms inside the bracket }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3} \times 6.9977\\\\\text{Therefore, the simplified expression is: }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 6.9977 \times 10^{-3}

Thus Option A is correct

6 0
4 years ago
Other questions:
  • Is this sequence geometric? If so, identify the common ratio.
    13·2 answers
  • Explain how the Pythagorean theorem is used to tell if a right triangle.​
    7·1 answer
  • Please help<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B27x%5E2z%7D%7B-3x%5E2z%5E6%7D%20" id="TexFormula1" title=" \frac{2
    15·1 answer
  • Please simplify! x+9=21+3x-4+10
    13·2 answers
  • Anybody got any answers?
    15·1 answer
  • What are the coordinates of the x-intercept for the line that goes through points (3, 2) and (3, 6) ?
    11·1 answer
  • Shirley got 72% on a Chemistry exam. The test was marked out of 150.
    15·2 answers
  • Solve the equation for the variable <br> 3/4у – 1 = 2
    9·2 answers
  • At a local fitness​ center, members pay ​$ membership fee and ​$ for each aerobics class. Nonmembers pay ​$ for each aerobics cl
    11·1 answer
  • A culture started with 2,000 bacteria. After 8
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!