determine which points on the number line could be the graph of the products of the numbers graphed at C and D
1 answer:
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You must travel at 42 mph for 4 hours
<em><u>Solution:</u></em>
Time varies inversely as rate of motion
Let "t" be the time required
Let "r" be the rate of motion
Then, we get
Where, "k" is the constant of proportionality
<em><u>You travel 3 hours at a rate of 56 mph</u></em>
Substitute t = 3 and r = 56 in eqn 1
<em><u>Find the rate you must travel for 4 hours</u></em>
r = ? and t = 4
Substitute t = 4 and k = 168 in eqn 1
Thus you must travel at 42 mph for 4 hours
Answer:
The proportion of the volume of the cone to the volume of the pyramid is: 3.14 times bigger.
Step-by-step explanation:
<u>Given the information of the cone: </u>
- The height: 12 inches
- The radius of the base is : 10/2= 5 inches
=> the volume of the cone
= 1/3π
= 1/3*3.14*
= 314 cubic inches
<u>Given the information of the pyramid: </u>
- the height: 12 inches
- The base is a suqare with a side lengh = 5 inches
=> the volume of the pyramid:
= 1/3*Bh (where B is the area of the base)
= 1/3*5*5*12
= 100 cubic inches
<u>The proportion of the volume of the cone to the volume of the pyramid is: </u>
= 314 /100
= 3.14 times bigger.
Hope it will find you well