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Tpy6a [65]
3 years ago
8

The area of the rectangle shown is 32x^2 + 12 If width can be represented by 4x, write an expression to represent the length of

the rectangle
Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

L=(8x^2+3)/x

Step-by-step explanation:

The area of a rectangle is length time width.

A=LW

In this case,

A=32x^2+12

W=4x

Solve for L

L=A/W

Substitute

L=(32x^2+12)/4x

L=(8x^2+3)/x

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It has rained 3/5 inch in 1/4 hour. If it continues to rain at the same rate,how much rain would fall in an hour
Scorpion4ik [409]

Answer:

2 2/5 inches

Step-by-step explanation:

3/5 x 4

3/5 x 4/1

3/5 x 4/1 = 12/5

12/5 = 2 2/5

5 0
3 years ago
What is the volume of a cone with diameter 21 m and height 4 m?
natima [27]

For this case we have by definition, that the volume of a cone is given by:

V = \frac {1} {3} * \pi * r ^ 2 * h

Where:

A: It is the cone radius

h: It's the height

They tell us that the diameter is 21 m, then the radius is half the diameter, that is: 10.5m. The height is 4m. Substituting the data:

V = \frac {1} {3} * \pi * (10.5) ^ 2 * 4\\V = \frac {1} {3} * \pi * 110.25 * 4\\V = 147 \pi.

Finally, the volume of the cube is147 \pi \ m ^ 3

ANswer:

Option B

3 0
3 years ago
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each
balu736 [363]

Answer:

35-=13 boxes ; 65-9 boxes

Step-by-step explanation:

35 x X+ 65 (22-x)=1040

35x+1430-65x=1040

1430-30x=1040

30x=390

x =390/30=13

6 0
3 years ago
Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and
Luda [366]

Answer:

C. 45 and 141 seconds

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 93 seconds

Standard deviation = 16 seconds

99.7% of running times are approximately between:

By the Empirical rule, within 3 standard deviations of the mean, so between 3 standard deviations below the mean and 3 standard deviations above the mean

3 stnadard deviations below the mean

93 - 3*16 = 45 seconds

3 standard deviations above the mean

93 + 3*16 = 141 seconds

The correct answer is:

C. 45 and 141 seconds

3 0
3 years ago
The decimal d is formed by writing in succession all the positive integers in increasing order after the decimal point; that is,
Maksim231197 [3]

Answer:

2

Step-by-step explanation:

We are given that a decimal number  d

d=0.12345678...

Where d is formed by writing in succession all the positive integers in increasing order after decimal point.

We have to find the 100th digit of d to the right of the decimal point.

Place of first digit 1 after decimal=Tenth

Place of second digit 2 after decimal=Hundredth

Place of third digit  3 after decimal=Thousandth

Therefore, 100th digit of d to the right of the decimal point=2

5 0
4 years ago
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