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Degger [83]
1 year ago
10

When full, one of the pools at Sapphire Island will hold 43,000 gallons. The pool currently holds 20,000 gallons of water and is

being filled at a rate of 130 gallons per minute. Write and solve an equation that can be used to find h, the number of hours it will take to fill the pool from its current level.

Mathematics
1 answer:
SpyIntel [72]1 year ago
5 0

Answer:  Explanation and answer is attached.

Step-by-step explanation:

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rjkz [21]
<span>An oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic feet, solve for the height in terms of the other sides.

Given:
volume of 24 cubic feet

Required:
height

Solution:
V = 24 cubic feet
assume that the length, weight and height of the box are all equal
so l = w = h

24 = l^3
l = 2.88 feet</span>
3 0
2 years ago
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ABCD is a parallelogram. E is the point where the diagonals AC and BD meet. Prove that triangle ABE is congruent to triangle CDE
Darina [25.2K]
ABCD is a parallelogram                  Given
AE=CE, BE=DE                                <span>The diagonals of a parallelogram are                                                                     bisect each other
</span>∠AEB=∠CED                                    Vertical angles are congruent
ΔABE is congruent to ΔCDE            SAS theorem<span>
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5 0
1 year ago
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Imagine you have a data set with 9,987 names. The data set is sorted alphabetically. You want to find out if the name "David Joy
REY [17]

Answer:

  1

Step-by-step explanation:

David Joyner might be the first name, so you may only have to check 1 name.

6 0
1 year ago
Hikers came across a part of a redwood stump. If the length of the chord is 8 feet, what was the diameter of the tree?
erastova [34]
So in the problem, the length of the chord there is the circumference of the tree. So in order to get the diameter of the tree, we must use the formula in getting the circumference of a circle that is stated as follows. 

C = 2pi *Radius

so first we need the get the radius of the tree which represent by this formula:

Radius = C /2pi = 8/6.2832 = 1.2732 ft 
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In summary, the diameter of the tree is 2.565 feet. 


7 0
1 year ago
A triangular piece of rubber is stretched equally from all sides, without distorting its shape, such that each side of the enlar
OverLord2011 [107]

Answer:

The area of the enlarged triangle is 4 times the original area

Step-by-step explanation:

we know that

The scale factor is equal to divide the measurement of the length side of the enlarged triangle by the the measurement of the length of the corresponding side of the original triangle

In his problem

Let

x------> the length side of the original triangle

so

2x----->  is the length of the corresponding side of the enlarged triangle

scale\ factor=\frac{2x}{x}=2

scale\ factor> 1 -------> that means is increasing

The scale factor squared is equal to the ratio of the area of the enlarged triangle divided by the area of the original triangle

so

Let

m-------> the area of the enlarged triangle

n------> the area of the original triangle

r-------> scale factor

r^{2} =\frac{m}{n}

we have

r=2

substitute

2^{2} =\frac{m}{n}

m=4n

therefore

The area of the enlarged triangle is 4 times the original area

8 0
1 year ago
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