Answer:
A.9
B.6
C.7
D.1
E.5
F.4
G.2
H.3
I.8
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Answer:
dh/dt=9.82x10^-3 ft/min
Step-by-step explanation:
1. You have that the rate is10 ft³/min. Then:
dV/dt=10
2. The formula for calculate the volume of a cone, is:
V=1/3(πr²h)
"r" is the radius and "h" is the height.
3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:
r=diameter/2
diameter=3h
r=3h/2
4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:
V=1/3(πr²h)
V=1/3(π(3h/2)²(h)
V=1/3(π9h²/4)(h)
V=9πh³/12
5. Therefore:
dV/dt=(9πh²/4)dh/dt
h=12
dV/dt=10
6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:
dV/dt=(9π(12)²/4)dh/dt
10=(1017.876)
7. Finally, you obtain:
dh/dt=10/1017.876
dh/dt=9.82x10^-3 ft/min
Answer(s):
Revising the area of a circle formula
We already know that the area of a circle is expressed as
.
- The "r" variable is known as the radius.
<h2><u>
Solving each problem given:</u></h2><h3>
Solving Problem 4:</h3>
We are given the radius of circle, which is 7 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

<u>Take π as 22/7</u>
<em> </em>



<h3>Solving Problem 5:</h3>
In this problem, we are given the diameter to be 24 kilometers. Since the radius of the circle is half the diameter, we can tell that the radius of the circle is 24/2 kilometers, which is 12 kilometers.

<u>Take π as 22/7</u>



<h3>Solving Problem 6:</h3>
We are given the radius of circle, which is 3.5 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

<u>Take π as 22/7</u>




Note: <em>The radius given in this problem was not clearly stated. If the radius I stated here, is incorrect, please notify me in the comments. Thanks!</em>
Learn more about area of circles: brainly.com/question/12414551
Answer:
31.2 lbs
Step-by-step explanation:
Let 2x = weight of oranges
5x = weight of apples
6x = weight of pears
2x + 5x + 6x = total weight
2x = 4.8
x = 2.4
4.8 + 5(2.4) + 6(2.4) = 4.8 + 12 + 14.4
= 31.2 lbs
Answer is C. 7/12 has the reciprocal of 12/7. When You multiply by a reciprocal, you just switch the numerator and denominator. The answer does NOT become negative. It would change the fraction itself.
Example:
3/6= 6/3
5/7= 7/5