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
vodka [1.7K]
3 years ago
5

PLEASE HELP!!

Mathematics
2 answers:
castortr0y [4]3 years ago
4 0

Answer:

x = 23

Step-by-step explanation:

6s² = 1944

Total area is given to be 1944

Since s = x - 5,

6(x - 5)² = 1944

Divide both sides by 6

(x - 5)² = 324

Square root both sides

x - 5 = +/- 18

Solve for x

x = 18 + 5 = 23

x = -18 + 5 = -13 (not possible because lengths can't be negative)

So, x = 23

Elden [556K]3 years ago
3 0

Answer:

x = 23

Step-by-step explanation:

We know that the surface area of a cube is denoted by S = 6s². In this case, we see that s = x - 5, so just plug x - 5 in for s in the formula:

S = 6(x - 5)²

We also know that the surface area is 1944, so S = 1944. Plug this in as well:

S = 6(x - 5)²

1944 = 6(x - 5)²

Now, we solve by expanding the right:

1944 = 6(x² - 10x + 25) = 6x² - 60x + 150

Subtract 1944 from both sides:

6x² - 60x - 1794 = 0

Divide by 6 from both sides for simplicity:

x² - 10x - 299 = 0

Factor:

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

x = 23 or x = -13

Obviously, we can't have a negative length, so -13 is wrong. We use x = 23 instead.

The answer is thus x = 23.

You might be interested in
Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 550}{100}

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

4 0
3 years ago
If f (1) = 5, then (1, 5) is an ordered pair of function f . <br><br> True<br> False
makkiz [27]

Answer:

true

Step-by-step explanation:

i hope that helped you

5 0
3 years ago
25 Points<br> 9<br> -3=7(-3)
Ksju [112]
I think the answer is: 6 = -21
8 0
3 years ago
How many solutions does the equation 6y − 3y − 7 = −2 + 3 have?
Ludmilka [50]
The only solution to this equation is 8/3, therefore the answer is C.
4 0
3 years ago
PLS HELP ME ASAP FOR 7, 8, and 10!! (MUST SHOW WORK!!) + LOTS OF POINTS!) *GIVE THANKS!!*
marissa [1.9K]
I believe #7 is D
#8 B
#10 B
8 0
3 years ago
Other questions:
  • Dmitri wants to cover the top and sides of the box shown with glass tiles that are 3 5 mm square How many tiles does he need 20
    10·1 answer
  • 4^-6*4^-2*4^3 algebra
    12·1 answer
  • Which equation represents this number sentence?<br> Two less than one-fourth of a number is 10.
    10·1 answer
  • Caold someone PLEASE HELP me with number 56
    7·1 answer
  • I really need help with this one
    13·2 answers
  • Help please I will give brainliset
    15·1 answer
  • a person invested $7400 in an account growing at a rate allowing the money to double every 13 years. how much money would be in
    8·1 answer
  • Simplify each expression. 1-4b+3b+11
    8·2 answers
  • Is the following a fixed or a variable expense?
    10·2 answers
  • When there is no equal sign, the polynomial is called an ___________.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!