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A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How

iren [92.7K]

Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

h=0we are given that h=−16t2+64t+4.

this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

since time cannot be negative, only the positive value can be taken.

this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

7 0

2 years ago

How do you simplify 2(m+5)+8(6m+1)

galina1969 [7]

You must use distributive property to get 2m+10+48m+8 and then add all like terms. You get 50m+18 as your final answer.

5 0

3 years ago

Read 2 more answers

Finding the area of each figure

Levart [38]

The area of the figure i can see is 68.89 cm squared

7 0

3 years ago

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Graph the image using the given transformation

Hunter-Best [27]

The triangle KLM is rotated about origin by 90 degrees to form the triangle K'L'M'.

<h3>What is a transformation of geometry?</h3>

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Rotation does not change the size and shape of the geometry.

The triangle KLM is rotated about origin by 90 degrees to create the triangle K'L'M'.

The diagram is given below.

More about the transformation of geometry link is given below.

brainly.com/question/22532832

#SPJ1

6 0

2 years ago

What is the total surface area of the solid?

mash [69]

Answer:

Step-by-step explanation:

The formula for determining the total surface area of a rectangular prism is expressed as

Total surface area = 2lw + 2wh + 2lh

Where

l represents the length = 16

w represents the width = 11

h represents the height = 10

Total surface area = (2 × 16 × 11) + (2 × 11 × 10) + (2 × 16 × 10) = 352 + 220 + 320 = 892 mm²

The formula for determining the total surface area of a triangular prism is expressed as

Total surface area = ph + 2b

p represents perimeter of base

h represents height of prism

b represents base area

From the information given,

h = 16

b = 1/2base × height = 1/2 × 11 × 8 = 44 mm²

to determine the perimeter of the base, we would determine the slant height, l by applying Pythagoras theorem.

Hypotenuse² = opposite side² + adjacent side²

l² = 11² + 8² = 185

l = √185 = 13.6

p = 13.6 + 11 + 8 = 32.6 mm

Total surface area = (32.6 × 16) + (2 × 44) = 521.6 + 88 = 609.6 mm²

6 0

3 years ago

Read 2 more answers