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Alik [6]
3 years ago
7

A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?

Mathematics
2 answers:
Virty [35]3 years ago
6 0
L x W = 60
2(L + W) = 32
 L + W = 16
 L = 16 - W

substitute  L = 16 - W into L x W = 60
L x W = 60
(16 - W) x W = 60
16W -W^2 = 60
W^2 - 16W + 60 = 0
(W - 6)(W - 10) = 0
W - 6 = 0; W = 6
W - 10 = 0; W = 10

answer
Length = 10 m and Width = 6 m
SOVA2 [1]3 years ago
4 0
6 and 10 because 6 times 10 is 60 and 6 plus 6 plus 20 plus 10 is 32
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galben [10]

To do his work that he didn't want to do.


3 0
3 years ago
Solve for x..........
-BARSIC- [3]

9514 1404 393

Answer:

  x = -9

Step-by-step explanation:

Segment NL is twice the length of midsegment WV.

  2WV = NL

  2(x+15) = x+21

  2x +30 = x +21 . . . . simplify

  x = -9 . . . . . . . . . . . . add -30-x

_____

<em>Additional comment</em>

This value of x means the other segments are ...

  MN = 12

  WV = 6

  NL = 12

5 0
3 years ago
A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o
Svetach [21]

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

\mu = 400, \sigma = 30.

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

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

Z = \frac{420 - 400}{30}

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

3 0
2 years ago
Help plz most of points!
dmitriy555 [2]
First, we need to know how much profit in dollar value by this method
profit = percentage × whole price

Plug in the numbers to the formula above
profit = percentage × whole price
profit = 40% × 25
profit = 0.40 × 25
profit = 10
The profit Daniel gets is $10

Second, add the original price and the profit together and you'll find the new price.
new price = original price + profit
new price = $25 + $10
new price = $35

Daniel sold the computer game for $35
3 0
3 years ago
The vertex angle of an isosceles triangle measures 64 degrees. What is the measure of its base angles?
Dvinal [7]
So hmmm check the picture below

in an isosceles triangle, two sides are equal, and thus the angles those twin legs make, are also twin angles

let's say the angle made is "a", so all internal angles will be 64 + a + a = 180
or 64 + 2a = 180

thus 2a = 180 - 64 => 2a = 116, thus a = 116/2

7 0
3 years ago
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