We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
128
3
avatar+44 

Question 1. 

 

What is the distance to the earth’s horizon from point P?

 

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

 

X = Blank mi                                         Picture shown below

 

 

Question 2: 

 

A pilot is flying a plane 4.5 mi above the earth’s surface.

From the pilot’s viewpoint, what is the distance to the horizon?

 

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

 

X = Blank mi              Picture shown below.

 

 

Question 3:

 

A person standing at the top of Mountain Aconcagua would be approximately 4.3 mi high. The radius of earth is 3959 mi.

What is the distance to the horizon from this point?

 

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

 

= Blank mi

 

 

Question 4:

 

A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.

What is the volume of the drainage pipe?

Enter your answer as a decimal in the box. Use 3.14 for π.

 

= Blank in³

 

 

Question 5:

 

A farmer has a feed trough in the shape of rectangular prism with a height of 40 cm and a base that is 30 cm wide by 200 cm long.

During the course of one week, the trough needed to be filled 2 times.

 

How many cubic centimeters of feed were needed during the week? 

 

A. 240,000 cm³

 

B. 480,000 cm³

 

C. 720,000 cm³

 

D. 960,000 cm³

 

Thank you.

 Jun 6, 2019
 #1
avatar+102417 
+3

1.

 

We have a right triangle....

 

The Earth's radius  (3959 miles)  forms one leg  and the Earth's radius plus the 15.6 miles forms the hypotenuse

And "x" is the other leg

 

So.... using the Pythagorean Theorem

 

x^2 + 3959^2  = (3959 + 15. 6)^2

 

x^2  =  (3959 + 15.6)^2 - 3959^2       take the square root of both sides

 

x = √[ (3959 + 15.6)^2 - 3959^2 ]  ≈  351. 8  miles

 

See if you can do  numbers 2 and 3.....they are similar to this one

 

cool cool cool

 Jun 6, 2019
edited by CPhill  Jun 6, 2019
edited by CPhill  Jun 6, 2019
 #2
avatar+102417 
+3

4.

 

We need to find the radius of the pipe

Circumference =  2 (3.14) * radius

25.12  = 2 (3.14) * radius

25.12 = 6.28 * radius      divide both sides by 6.28

4 (in)  = radius

 

So....the volume of the pipe  =

 

pi * radius^2  * length of pipe   =

 

(3.14) *  (4)^2 * (66)   =    3315.84  in^3

 

 

 

cool cool cool

 Jun 6, 2019
 #3
avatar+102417 
+3

5.

 

Volume of prism  =  30 *200 * 40  =  240,000 cm^3

 

Since it needs to be filled twice....then

 

2 * 240,000 =

 

480,000 in^3

 

cool cool cool

 Jun 6, 2019

16 Online Users