Find the missing length. 8 3 с C = = ✓ [?] Pythagorean Theorem: a2 + b2 = 2

Mathematics

1 answer:

Keith_Richards [23]3 years ago

4 0

Answer:

✓73 or approximately 8.54

Step-by-step explanation:

✓ 8²+3² = ✓ 73 or approximately 8.54

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A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. The ball's height above

tekilochka [14]

it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.

Let h(t) represent the height of the ball at time t.

Given that the height is given by:

h(t) = -16t² + 80t + 40

1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:

40 = -16t² + 80t + 40

16t² - 80t = 0

t(t - 5) = 0

t = 0 or t = 5

Hence it takes 5 seconds to reach a height of 40 ft.

2) The maximum height is at h'(t) = 0,

h'(t) = -32t + 80

-32t + 80 = 0

32t = 80

t = 2.5

It takes 2.5 seconds to reach maximum height.

Find out more at: brainly.com/question/11535666

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3 years ago

A line segment with endpoints A(-2, 1) and B (2, 1) is dilated with a dilation centered at the origin and a scale factor of

lesya692 [45]

Answer:

Step-by-step explanation:

I will assume that the scale factor is 2.5

A'(-5,2.5) True

AB || A'B' True

?? What does ABAB" mean?

A'B' is an enlargement of AB True

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3 years ago

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x$