I just need to know the answer

Q5.Jumbo is standing on top of a cliff looking at a speed boat out at sea.The vertical of the cliff from the base (sea level) to

Leni [432]

Answer:

A) 150 m

B) 180.28 m

Step-by-step explanation:

A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.

We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,

a² + b² = c²
(80)² + b² = (170)²
b² = 170² - 80²
b² = 22500
b = 150

The horizontal distance between the base of the cliff and the boat is 150 m.

B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.

(100)² + (150)² = c²
32500 = c²
180.28 = c

The distance between the helicopter and the speed boat is 180.28 m.

8 0

3 years ago

Item 18

Nimfa-mama [501]

A mixed number in simplest form, in the box is 40 5/8 cm^3.

We have given that,

The figure contains a right rectangular prism. The length of the prism is labeled 6 and one-half centimeters, the width is labeled 2 and one-half centimeters, and the height is labeled 2 and one-half centimeters.

<h3>What is the volume of the prism?</h3>

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length = 6 .5cm

width = 2.5cm

height = 2.5cm

If you plug everything you have in the problem into the volume equation, you would get

volume = 6.5cm x 2.5cm x 2.5 cm.

Without a calculator first, turn the mixed numbers into improper fractions.

6 .5=13/2

2.5 = 5/2

Volume = 13/2 x 5/2 x 5/2

When you multiply everything together you should get.