You fill a container 3/4 full of water. The amount of water now in the container is 6 quarts. How much can the container hold?a. 12 qt
b. 8 qt
c. 6 qt
d. 14 qt

Answer:

1

Step-by-step explanation:

Answer:

s = 260 - g/2

Step-by-step explanation:

Given the following :

Maximum weight swing can hold = 500 pounds

Let suspect's weight = s

George's weight = g

To reach maximum weight :

Double weight of suspect + (George's weight - 20)

Hence, equation:

2s + (g - 20) = 500

2s + g - 20 = 500

2s + g = 500 + 20

2s + g = 520

2s = 520 - g

Divide through by 2

s = 260 - g/2

The question can be represented by the equation 2S + G - 20 = 500, where S is the suspect's weight and G is George's weight. To solve for the suspect's weight, we need to know George's weight.

The question asks for an equation to determine the weight of the suspect based on given conditions. We can express the condition as a mathematical equation. If we let S be the weight of the suspect and G be the weight of George, the information gives us the equation 2S + G - 20 = 500. To solve for the suspect's weight, we will need the weight of George. Without this, there are an infinite number of solutions for S. However, if we were given George's weight, we could subtract 20 from it, subtract that value from 500, and then divide by 2 to get the suspect's weight. As an example, if George weighed 220 pounds, the suspect would weigh (500 - (220 - 20)) / 2 = 150 pounds.

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The solution is, The length of the altitude of the equilateral triangle is 9.

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

here, we have,

The given triangle is an equilateral triangle.

Here, a is a median which bisects the base. It also serves as an altitude, as it is an equilateral triangle.

As the triangle can be divided into two right angle triangle,

Using Sine.

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3)                        

But sin60° = √3/2

so, we get,

√3/2 = a/(6√3)

Cross multiply

2*a = 6√3 * √3

2a = 6 * √(3*3)

2a = 6*3

a = 6*3/2

a = 3*3

  = 9

Hence, Option E. The solution is, The length of the altitude of the equilateral triangle is 9.

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