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3 years ago

A square patio has an area of 200 square feet . How long is each side of the patio to the nearest tenth ?

Mathematics

1 answer:

MAXImum [283]3 years ago

4 0

Givens

Area = 200 square feet

Formula

A = s^2

Soluton

s^2 = 200 square feet.

Take the square root of both sides.

square root s^2 = square root (200)

You should use a calculator to find the square root of 200

√

200

is the way to put it into the calculator.

s = 14.1 feet on each side. <<<<< Answer

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What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?

jenyasd209 [6]

Answer:

The volume of a rectangular prism is $28\frac{7}{8}\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

$V=BHL$

Convert the given dimensions to an improper fractions

$B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm$

$H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm$

$L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm$

substitute in the formula

$V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}$

Convert to mixed number

$\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}$

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3 years ago

Please help!

Oksana_A [137]

Answer:

The probability of first landing on a 4: P = 1/4

The probability of second landing on a 4: P = 1/4

Applying the multiplication rule:

=> The probability of landing on a 4 and then landing on a 4:

P = (1/4) x (1/4) = 1/16

Hope this helps!

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3 years ago

What is the perimeter of the track in meters use TT= 3.14 and round to the nearest hundredth of a meter

Sonja [21]

Answer:

P = 321.3m

Step-by-step explanation:

To help simplify the process of solving this problem, first break it up into different shapes. Here, you have two shapes: a rectangle and a circle (1 semi-circle + 1 semi-circle = 1 circle).

Next, use the equation for circumference of a circle to find the first part of the perimeter (C = πd). In this case, the diameter would be 45m.

C = πd
C = 3.14 × 45

C = 141.3 m

This is the first part of the circumference. Now, you must consider the rectangle. (Because the two shorter sides of the rectangle are not part of the perimeter, do not include these in your final answer.) The length of the rectangle is 90 meters, and since both sides that measure to 90m are part of what makes up the perimeter, lastly add these to the circumference you calculated earlier.

(90 + 90) or (90 × 2) = 180
P = 141.3 + 180
P = 321.3m

Hope this helps! : )

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3 years ago

Tom rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a factor of 21.

Ber [7]

The probability of getting a total that is a factor of 21 is 0.22

<u>Explanation:</u>

Factor of 21 is = 1, 3, 7, 21

Out of all the factors of 21, we cannot get 21 when the two die are rolled as the maximum sum that can be obtained is 12

The possible combinations are:

(1,2) (1,6)

(2,1) (2,5)

(3,4)

(4,3)

(5,2)

(6,1)

Total outcome = 6 X 6

= 36

Number of outcomes that is the factor of 21 is 8

The probability of getting a total that is a factor of 21 is $\frac{8}{36}$

p(21) = 0.22

Therefore, the probability of getting a total that is a factor of 21 is 0.22

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3 years ago

Pls help I’m failing I’ll brainlest

LenKa [72]

Answer:

Step-by-step explanation:

Since 2 sides are equal to 3x-3, multiply 3x-3 by 2.

=6x-6

Subtract 18x+6 - 6x-6

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Since 2 there are 2 sides missing, 12x divided by 2

=6x

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3 years ago