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2 years ago

Calculate the perimeter of the composite figure. Round your answer to the nearest hundredth. Use 3.14 for $\pi$ .

Mathematics

1 answer:

Elena-2011 [213]2 years ago

3 0

1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet

Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters

3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches

4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards

Volume = π*6^2*20 = 2261.9 cubic yards

5.surface area = 2*(9*7+2*2+2*9) = 190 cm

Volume = 2*7*9 = 126 cubic cm

6. surface area = 2*(11*11+11*11+11*11) = 726 mm

Volume = 11 *11*11 = 1331 cubic cm

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Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.

Hunter-Best [27]

Given:

Amount = Rs. 9,144

Time = 3 years.

Rate of simple interest = 9%

To find:

The principal value.

Solution:

The formula for simple interest is:

$I=\dfrac{P\times r\times t}{100}$

Where, P is principal, r is the simple rate of interest, and t is the number of years.

Putting $r=9,t=3$ in the above formula, we get

$I=\dfrac{P\times 9\times 3}{100}$

$I=\dfrac{27P}{100}$

$I=0.27P$

We know that,

$\text{Amount}=\text{Principal + Interest}$

$9144=P+0.27P$

$9144=1.27P$

Divide both sides by 1.27, we get

$\dfrac{9144}{1.27}=P$

$7200=P$

Therefore, the principal value is Rs. 7200.

8 0

3 years ago

The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)

MrRa [10]

radius = 3 feet

rearrange the formula making r the subject

$\frac{4}{3}$ πr³ = V ( multiply both sides by 3 to eliminate fraction )

4πr³ = 3V ( divide both sides by 4π )

r³ = $\frac{3V}{4\pi }$ = ( 3 × 36π ) / 4π = 3 × 9 = 27

take the cube root of both sides

r = $\sqrt[3]{27}$ = 3

6 0

3 years ago

The ratio of red paint to blue paint is 2:1. What does the ratio 2:1 mean?

Artemon [7]

This means the for every 2 units of red paint, there is 1 unit of blue paint
exg
in a mixture, mix a red and blue paint to get a type of purple that is the ratio of 2:1 (red:blue)
so exg if you wanted 3 gallons you would do 2 gallons of red+1 gallon of blue since 2+1=3
it could also mean quantity
there are 2 tiles painted red for every 1 tile painted blue resulting in 2 unit of red paint to 1 unit of blue

4 0

3 years ago

Tim answered all the questions on his math test but got 101010 answers wrong. He received 444 points for every correct answer, a

3241004551 [841]

Answer:

Step-by-step explanation:

Let x represent the number of questions that Tim got right in the math test.

The number of questions that Tim got wrong in the math test is 10.

If the total number of questions on the math test is q, it means that

x + 10 = q

If he received 4 points for every correct answer and there was no penalty for wrong answers, it means that he received 0 point for a wrong answer. If

his score was 76 points, it means that

4x + 0 × 10 = 76

4x = 76

Therefore, the required equations are

x + 10 = q

4x = 76

6 0

3 years ago

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Jason has 60 cars. 30% is blue. How many are blue?

Dmitriy789 [7]

So to figure out 10% of this would be to remove the 0. that would be six. since 30÷10 is 3, we have to do 6×3. that would be 18, so 30% of 60 is 18

5 0

3 years ago

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