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3 years ago

The area of a triangle is 1,4440 cm^2. The base of the triangle is 5 times the height. What is the height of the triangle?

Mathematics

1 answer:

DochEvi [55]3 years ago

3 0

Answer:

h = 24 cm

Step-by-step explanation:

The formula for area of a triangle is

A = (1/2)bh where b is the base and h is the height.

We are told that the base is 5 times the height, this translates to

b = 5h, so we can rewrite our formula to

A = (1/2)(5h)(h) or

A = (1/2)5h²

We are given A = 1,440, so plug that in and solve for h...

1,440 = (1/2)5h²

2,880 = 5h² (multiply both sides by 2 to get rid of the fraction)

576 = h² (divide both sides by 5 to get the h value by itself)

24 = h (take the square root of both sides)

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3 years ago

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qwelly [4]

Answer:

The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.

Step-by-step explanation:

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4 years ago

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3 years ago

Evaluate g(x) = x2 + 5 given the inputs (-1,0,1,2}

mihalych1998 [28]

Answer:

g(-1) = 6

g(0) = 5

g(1) = 6

g(2) = 9

Step-by-step explanation:

Step 1: Plug in -1 for x

g(-1) = (-1)² + 5

g(-1) = 1 + 5

g(-1) = 6

Step 2: Plug in 0 for x

g(0) = 0² + 5

g(0) = 0 + 5

g(0) = 5

Step 3: Plug in 1 for x

g(1) = 1² + 5

g(1) = 1 + 5

g(1) = 6

Step 4: Plug in 2 for x

g(2) = 2² + 5

g(2) = 4 + 5

g(2) = 9

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3 years ago