Fill two of the pools with water, Each pool will be filled to a depth of 5 feet. The other necessary dimensions are given below. How much water is necessary for each of the elements below? The isosceles triangle pool: height 20ft and base 35ft
The equilateral triangle pool: height 52ft and base 60ft

Answers

Answer 1

Answer: Find the volume of each pool. The formula for triangular prisms is length*width*height*1/2. Or, since your numbers give the base, you can just multiply the height and the base, then multiply by 5, then divide by 2 to get the answer.
So, 20*35*5/2 = 1,750 ft³ is the equation for the isosceles triangle, and the equilateral triangle pool is 52*60*5/2 = 7,800 ft³.
The volume = how much water you need for each pool.
Hope that answered your question.

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each person will make $5.00.

Which of the binomials below is a factor of this expression? 100A2 - 49B2

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The answer is D. 10A +7B on apex.

Simplify the expressing by combining like terms
1 + 3x - 8x + 7

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$\large\textsf{1 + 3x - 8x + 7}$

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$\large\textsf{ (3x - 8x) + (1 + 7)}$

$\large\textsf{3x - 8x = \bf -5x}$

$\large\textsf{1 + 7 = \bf 8}$

$\large\textsf{= -5x + 8}$

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In the diagram, point O is the center of the circle and mADB = 43°. If mAOB = mBOC, what is mBDC?A) 45°
B) 43°
C) 41°
D) 37°
E) 33°

Answers

The answer is B) 43°
Angle ADB is an inscribed angle which means arc AB has an angle twice that of angle ADB. The angle of the arc would be the same as that of the central angle AOB. So, mAOB = 86°. And since, mAOB = mBOC, then mBOC = 86° and arc BC has a measure of 86° as well. Angle BDC intercepts the arc BC which means half of the angle of arc BC is mBDC. So, mBDC = 43°.

It is B 43. This is correct for sure.

I don't know how to do this

Answers

$a_1=2;\ r=-(3)/(2)\n\na_2=a_1r\to a_2=2\cdot\left(-(3)/(2)\right)=-3\n\na_3=a_2r\to a_3=-3\cdot\left(-(3)/(2)\right)=(9)/(2)\n\na_4=a_3r\to a_4=(9)/(2)\cdot\left(-(3)/(2)\right)=-(27)/(4)\n\na_5=a_4r\to a_5=-(27)/(4)\cdot\left(-(3)/(2)\right)=(81)/(8)$

Paige claims that the solution to the systems of linear equations y=2x-1 and -12x+3y=9 is (-2,-5). Which 3 methods could be used to verify Paige claim?

Answers

Final answer:

Paige's claim can be verified through three methods: substitution, elimination, and graphing. Each method involves using the potential solution (-2,-5) to determine if it is a valid solution to the given systems of linear equations.

Explanation:

The verification of Paige's claim that the solution to the systems of linear equations y=2x-1 and -12x+3y=9 is (-2,-5), can be achieved by using three distinct methods. These methods include: 1. Substitution; 2. Elimination; and 3. Graphing.

Substitution: You substitute the x and y values of the proposed solution into both equations to verify whether both are true. In this case, substituting x=-2 and y=-5 into both equations should confirm whether Paige's claim is correct.

Elimination: You can add or subtract the two equations in order to eliminate one of the variables and solve for the other. You then confirm if the solution matches Paige's claim.

Fianlly, Graphing: You graph both equations on the same axes and determine their point of intersection. If the point of intersection is (-2,-5), then Paige's claim is verified.