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2 years ago

The base of the pyramid is a regular hexagon. Find the volume of the pyramid. Round your answer to the nearest tenth.

Mathematics

1 answer:

alexandr402 [8]2 years ago

7 0

Answer:

216.5

Step-by-step explanation:

Pyramid volume=(area of the base)*(height)/3

Pyramid volume=(area of hexagon with side 5)*(height)/3

Area of hexagon is 3*sqrt(3)*(side)^2/2=75*sqrt(3)/2

Pyramid volume=10*(75*sqrt(3))/(2*3)=216.5

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Rename 4/7 as a percent. Round to the nearest tenth of a percent if necessary.

enyata [817]

Answer:

Part 1) Option C. 57.1%

Part 2) Option B. 70.9%

Part 3) Option C. 66 2/3 %

Part 4) Option A. About 16

Part 5) Option A. About $12

Part 6) Option B. About $9

Part 7) Option B. x/50=70/100

Part 8) Option B. 25%

Part 9) Option D. 800

Part 10) $1,770

Step-by-step explanation:

Part 1) Rename 4/7 as a percent

we know that

To rename a number as a percent, multiply the number by 100

(4/7)*100=400/7=57.1%

Part 2) Rename .709 as a percent

we know that

To rename a number as a percent, multiply the number by 100

0.709*100=70.9%

Part 3) If 1/3 is equivalent to 33 1/3% what percent is equivalent to 2/3?

we know that

33 1/3%=(33*3+1)/3 %=100/3 %

By proportion

(100/3 %)/(1/3)=x/(2/3)

x=200/3 %=66 2/3 %

Part 4) Alice plays basketball. In one game she shoots 21 free throws and makes 81.25% of them. Estimate how many she makes

To find the exact value multiply the total shoots by the percentage

21*(81.25/100)=17.06

To find the estimate value

21 shoots is about 20

81.25% is about 80%

20*(80/100)=16

the answer is about 16

Part 5) Estimate 48% of 23.95

To find the exact value multiply the number by the percentage

23.95*(48/100)=11.50

To find the estimate value

23.95 is about 24

48% is about 50%

24*(50/100)=12

Part 6) The bill at a restraint is $58.50 and Mrs. Johnson wants to leave a 15% tip. Approximately how much money

To find the exact value multiply the bill by the percentage

$58.50*(15/100)=$8.78

To find the approximate value

$58.50 is about $60

$60*(15/100)=$9

Part 7) Which proportion can be used to solve the following percent problem? What is 50% if 100% is 70?

using proportion

x/50=70/100

x=70*50/100

x=35

Part 8) What percent of 50 is 12.5?

using proportion

50/100%=12.5/x%

x=100*12.5/50

x=25%

Part 9) 50 Is 6.25% of what number?

using proportion

50/6.25%=x/100%

x=100*50/6.25

x=800

Part 10) Chris works at Higgins’ Automart and is selling a new Shelby Mustang for $59,000. If he earns a commission of 3%, how much money does he earn?

we know that

$59,000 ------> represent the 100%

using proportion

Find how much money represent 3% of the commission

59,000/100%=x/3%

X=$59,000*(3/100)=$1,770

4 0

2 years ago

3 ice cream cones cost $8.25. At this rate , how much do 2 ice cream cones cost?

myrzilka [38]

Answer:

5.5

Step-by-step explanation:

8.25/3=2.75

2.75 times 2 is 5.5

4 0

2 years ago

Question in the picture

andrezito [222]

Answer:

(20, 16)

Step-by-step explanation:

3 0

2 years ago

Pick Two Points on the Line. Use "Rise over Run" to Find the Slope. T ✓

inn [45]

Answer:

Easiest to pick (0, 0) and (1, 1) probably, then slope is 1.

Step-by-step explanation:

Rise over run for (0, 0) and (1, 1) is rise up 1 and run over 1, so 1/1.

This means slope is 1

7 0

2 years ago

Which expressions are equivalent after simplifying? Check all that apply. (3.1a – 2.7b) + (1.5a – 4.9b) (2.3a + 0.2b) – 8b (–3.5

fomenos

Answer:

1st one 3rd one and last kne

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers