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kirill [66]
3 years ago
12

John spent about 12.8 hours at a water park. He estimated he spent about 30% of the time waiting in line. What would be a reason

able amount of time he spent in line
Mathematics
2 answers:
Sloan [31]3 years ago
8 0
It would be about 3.84 hours spent in line.

First you take the percent and convert it to a decimal, in this case it is 0.3. Finally, you multiply the two numbers together to get the amount of time in line.
Serhud [2]3 years ago
3 0
3.84

This is my answer I showed my work
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2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
Can someone help me with this
insens350 [35]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

The sum of angles on a straight line is 180°.

( R ) and ( 2x + 5 ) are both on the same straight line.

Therefore:

Equation No. 1 -

R + 2x + 5 = 180

R = 180 - 2x - 5

R = 175 - 2x

Vertically opposite angles are equivalent to each other.

( R ) is vertically opposite ( 3x + 15 ).

Therefore:

Equation No. 2 -

R = 3x + 15

Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )

R = 3x + 15

175 - 2x = 3x + 15

- 2x - 3x = 15 - 175

- 5x = - 160

x = - 160 / - 5

x = 160 / 5

x = 32

Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).

Equation No. 2 -

R = 175 - 2x

R = 175 - 2 ( 32 )

R = 175 - 64

R = 111

FINAL ANSWER:

Therefore, the answer is:

R = 111

x = 32

Hope this helps! :)
Have a lovely day! <3
7 0
3 years ago
All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weigh
maksim [4K]
Sugar: x pounds
flour: 2x + 5 pounds
2x + 3(2x + 5) = 40
2x + 6x + 15 = 40
8x = 25
x = 3.125
-> a sack of flour is 3.125 + 5 = 8.125 pounds
I hope it‘s coorect
4 0
3 years ago
Sally paid for a shirt costing her $18.50. It was on sale for 20% off. What was the original price?
Zinaida [17]

Answer:

14.8

Step-by-step explanation:

3 0
2 years ago
Solve the following equation. Then place the correct number in the box provided.
solong [7]
X should be 7 after doing all the calculation.
5 0
2 years ago
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