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2 years ago

A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?

Mathematics

1 answer:

storchak [24]2 years ago

4 0

Answer:

8 inches

Step-by-step explanation:

h = 2 A/b

A = 160

b = 40

160/40 = 4

2 x 4 = 8 inches

The height of the triangles is 8in.

hope this helps!! p.s. i really need brainliest :)

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Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions

Bingel [31]

These are three equations and three answers.

Answers:

A) infinite solutions, identity
B) one solution, x = 27, neither contradiction nor identiy
C) x = no solutions, contradiction

Explanation:

Equation A: 20 - 4x = 12 - x + 8 - 3x

The objective is clearing the unknown, which is to isolate it in one side of the equation.

These are the steps and properties that you need to use:

1. Combine like terms on right side:

20 - 4x = 20 - 4x

2. Use addition property of equality (add 4x on each side).

20 = 20 ↔ identity

Conclusion: you have gotten a condition that is always true, no matter the value of x, which means that the equation has infinite solutions and it is an identity.

Equation B: 5x + 4x - 3 = 24 + 8x (note that I placed the equal sign as it was missing)

1. Combine like terms on each side:

9x - 3 = 24 + 8x

2. Subtraction property and addition propertiy of equality (subtract 8x and add + 3 on both sides)

x = 27 ↔ solution (neither contradiction nor identity)

Conclusion: the solution is x = 27.

Equation C: 5x + 6 = 2x + 6 + 3x - 15 (note that I placed the equal signs as it was missing)

1. Comitne like terms on the right side:

5x + 6 = 5x - 9

2. Subtraction property of equality (subtract 5x from each side)

6 = - 9 ↔ contradiction

Conclusion: the equation does not have a solution since the final equality is always false (a condradiction or absurd).

For your information, when the variable (x) dissapears and fhe final equality is always true (for example 0 = 0, or 20 = 20), the equation is an identity.

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3 years ago

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Charlie is trying to cover the shape shown with paper. He will NOT be covering the top and the bottom. How much paper will he ne

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You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

$A=2\pi rh$

Where

A is the area

π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14

r is the radius

h is the height of the cylinder

The given cylinder has a height of h=15m and a diameter of d=6m

To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2

$\begin{gathered} r=\frac{d}{2} \\ r=\frac{6}{2} \\ r=3 \end{gathered}$

Now you can calculate the lateral area as follows:

$\begin{gathered} A=2\pi rh \\ A=2\cdot3.14\cdot3\cdot15 \\ A=282.6m^2 \end{gathered}$

Charlie will need 282.6 m² to cover the lateral side of the cylinder.

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1 year ago

To newtons second law of motion the force acting on an object and very directly with the objects acceleration suppose that I for

MArishka [77]

For example fill ur bathtub full of water. then lay down in the tub the water leaving the tub is the force acting back.

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Justin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should h

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Letter C is your answer.

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Which of the following best describes the slope of the line below? A. Zero B. Undefined C. Positive D. Negative

nadya68 [22]

Answer:

D. negative

Step-by-step explanation:

Let's analyze each answer choice.

A. Zero

A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.

B. Undefined

A line with an undefined slope is a vertical line. The x values don't change and the y values vary.

C. Positive

When a line has a positive slope, the line increases from left to right.

D. Negative

When a line has a negative slope, the line decreases from left to right.

When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.

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