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
Setler [38]
3 years ago
10

The surface area S of a cube is equal to the sum of the areas of the 6 square faces that form the cube. We want to paint the cub

e and need to know how many square units of paint to purchase. If each face has side length s, then the formula S = 6s2 can be used to find the surface area of the cube. The length of a side is indicated in the cube below( s = x - 5). The surface area of the cube is 1944 units2. What is the value of x? SHOW and EXPLAIN each of the steps you used to solve.
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
6 0

Answer: x equals 23

Step-by-step explanation: The information available to us is as follows;

Surface area of the cube = 1944

Side length of the cube = x - 5

Note however that the surface area is also derived as S = 6s²

In order to calculate the value of s we would start by substituting for the known values as follows;

S = 6s²

1944 = 6[(x - 5)²

1944 = 6[(x² - 10x + 25)]

By cross multiplication we now have

1944/6 = (x² - 10x + 25)

324 = x² - 10x + 25

Collect like terms and we now have;

x² - 10x -299 = 0

By factorization we now have;

(x - 23) (x + 13) = 0

Therefore, x - 23 = 0 and hence x = 23

OR

x + 13 = 0 and hence x = -13

Knowing that the length of the side is not a negative number, we would choose x = 23.

**(Having been given that x = 23,

s = x - 5

s = 23 - 5

s = 18)**

You might be interested in
HELP ME PLEASE IT¨s MATH
Arlecino [84]

Answer:

V=πr^2h

pi = 3.14

r = 2

r^2 = 4

h = 10

Multiply all the numbers to get the volume.

Or use the formula.

V = 3.14*4*10

V = 125.6 cubic inches

5 0
3 years ago
A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If
zhenek [66]

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

6 0
3 years ago
What is the measure of angle f?
dlinn [17]

Answer:

130 fj is a little bit of a good job for the first time in a new generation of companies in a little

Step-by-step explanation:

its 130 inches tall and a good job to do with my first day of work at a time when the first thing you can get to the point where

3 0
3 years ago
53 pts! which of the following is equal to g(x)?
ziro4ka [17]

Answer:

B is the correct answer, as x - 2 in the exponent would move the graph to the right 2.

7 0
3 years ago
Solve for t. −5t≥70
bija089 [108]

Answer:

Step-by-step explanation:

-5t ≥ 70

t ≤ -14

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve 732, 178 167-542, 137=
    7·1 answer
  • Give your answer with an exponent
    12·1 answer
  • When using the quadratic formula if there is no b value then do you say b is 1 or 0
    6·2 answers
  • a rectangle has a length of 9.3 time 10 to the 2nd power and width 8.4 times 10 to the 2nd power. what is the area of the rectan
    5·1 answer
  • If it thermometer indicates 40°C what is the temperature in degrees Fahrenheit
    6·2 answers
  • Please help me thank you
    5·1 answer
  • What is the percent of increase from 8.9 to 9.3?
    11·1 answer
  • I need help plz i’ll mark u as brainliest
    14·1 answer
  • Who ever gets the corrects answer will get brainleyist.
    6·2 answers
  • A plane takes off from New York with 72 of the 90 seats occupied. What percentage of seats are not occupied?​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!