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Irina-Kira [14]
3 years ago
10

100 POINTS AND BRAINLIEST: The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than

a certain number of inches.
Suppose that you are given the value of the unknown number. Verbally describe two methods for finding the area of this rectangle. Use complete sentences in your answer.
Mathematics
2 answers:
ANEK [815]3 years ago
8 0

Answer:

The area of the rectangle is (5) equal to the multiple of its two sides this is equal to two inches times an expression three less than a certain number "x". Using the distributive property. But if you are still confused when you double it, just know there is another way to solve it. You can solve it without doubling by, making it six less than a certain number x.

Wittaler [7]3 years ago
5 0

Answer:

x= "a certain number of inches"

side a= x-3

side b= 2 inches

multiply:

Area= a(b)

A= (x-3)2

A= 2(x-3)

distribute:

A= 2(x-3)

A= (2*x) + (2*-3)

A= 2x-6

Area= 2(x-3)

Area= 2x-6

Step-by-step explanation:

The area of the rectangle is equal to the multiple of its two sides this is equal to two inches times an expression three less than a certain number "x". Using the distributive property, we can solve this expression further to find that the area of this rectangle is also equal to six less than doubling a certain number x.

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6 0
3 years ago
The amount of time a certain brand of light bulb lasts is normally distribued with a mean of 1800 hours and a standard deviation
DedPeter [7]

Answer: 68% of light bulbs last between 1765 hours and 1835 hours.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 1800 hours and the standard deviation is 35 hours.

1 standard deviation = 1 × 35 = 35

1800 - 35 = 1765 hours

1800 + 35 = 1835 hours

Therefore, 68% of light bulbs last between 1765 hours and 1835 hours.

6 0
3 years ago
A triangle has side lengths of 12 inches 14 inches, and 18 inches. What best represents the perimeter of the triangle in centime
kotykmax [81]

Answer:

111.76 cm

Step-by-step explanation:

The formula for the perimeter of a triangle is given as:

Side A + Side B + Side C

Since our final answer is going to be in centimeters we have to convert the sides from inches to centimeters

Hence:

1 inch ~ 2.54 centimeters

For 12 inches

1 inch = 2.54 cm

12 inches = x

Cross Multiply

x = 12× 2.54 cm

x = 30.48 cm

For 14 inches

1 inch = 2.54 cm

14 inches = x

Cross Multiply

x = 14× 2.54 cm

x = 35.56 cm

For 18 inches

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18 inches = x

Cross Multiply

x = 18× 2.54 cm

x = 45.72 cm

Hence, the perimeter of the triangle

= 30.48 cm + 35.56 cm + 45.72 cm

= 111.76 cm

4 0
2 years ago
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