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ivolga24 [154]
3 years ago
7

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r? V = r2 V = r3

V = r3 V = r2

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0
So hmm check the picture below

the radius "r" is half the diameter, meaning, the diameter is 2r long
now, if the height "h" is twice "d" or 2d, then that means h = 2(2r)

thus    \bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\qquad 
\begin{cases}
h=height\\
r=radius\\
------\\
h=2(2r)
\end{cases}\implies V=\cfrac{\pi r^2[2(2r)]}{3}
\\\\\\
V=\cfrac{4\pi r^3}{3}

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Heidi buys shirts for $20 and resells for $24. What is the percentage of Heidi's markup? Plz help me!!
Vadim26 [7]

 20% because 4 dollars is 1/5 of 20


8 0
3 years ago
1 Kg = 2.2046 pounds what will be the answer in round to nearest tenth 4550 pounds = ______ kg
Harrizon [31]

Answer:

2063.9 kg

Step-by-step explanation:

Given,

<u>1 kg = 2.2046 pounds</u>

This can also be written as:

<u>1 pound = 1/2.2046 kg</u>

We have to calculate the value of 4550 pounds in kg up to nearest 10th

Thus,

4550 pounds= \frac{4550}{2.2046} kg

Solving the above equation, we get:

4550 pounds = 2063.8664 kg

Rounding the above result to nearest tenth as:

<u>4550 pounds = 2063.9 kg</u>

6 0
3 years ago
Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p
DanielleElmas [232]

Answer:

1. Let, Jamie needs "$ g" for the  trip. Then, according to the question,

g = 600 -------------------(1)

2. Let, Stella needs "$ m" for the trip. Then, according to the question,

m = 600 -------------(2)

3. If Jamie washes x no. of cars and Stella makes y no. of pies, then,

25x ≥ 600 ≥ 15y -------------(3)

4. Yes, Stella can afford to sign up for the trip with the money she earns.

Step-by-step explanation:

Let, Jamie needs "$ g" for the  trip. Then, according to the question,

g = 600 -------------------(1)

Let, Stella needs "$ m" for the trip. Then, according to the question,

m = 600 -------------(2)

if Jamie washes x no. of cars for $25 each and Stella makes y no. of pies

for $ 15 each, then, according to the question,

25x ≥ 600 ≥ 15y -------------(3)

Yes,  Stella can afford to sign up for the trip with the money she earns. Because, she can make at most 40 pies for $15 each and

$ 40 \times 15 = $ 600 = The amount of money Stella needs for the trip.

7 0
3 years ago
Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up
DENIUS [597]

Answer:

a. 8 gallons

b. (11-0.75t) gallons

Step-by-step explanation:

a. Here in this question, we are told that the total amount of fuel in the fuel tank is 11 gallons and the car consumes 0.75 gallon per hour. We are interested in knowing the amount of fuel left in the tank after driving for four hours.

We proceed as follows;

Since 0.75 gallon is consumed in an hour, the amount of fuel consumed in 4 hours would be the amount consumed in an hour * 4 hours

Mathematically, that would be 0.75 * 4 = 3 gallon

Now, the amount of fuel left is simply the difference between the initial amount of fuel in the tank minus the amount of fuel present after 4 hours.

That would be; 11 - 3 = 8 gallons

b. Like above, we want to know the amount of fuel left after t hours.

Since 0.75 is used up per hour, the amount used up in t hours would be 0.75 * t = 0.75t

Now, the amount of fuel that would be left in the tank would be the difference between what we had initially and what was used up.

Mathematically, that would be 11- 0.75t

4 0
3 years ago
Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!
baherus [9]

Answer: x^2 -3

That's x squared minus three

Step-by-step explanation:

When you divide 2x^3 by 2x the 2's cancel, and x cubed becomes x squared.

In 6x divided by 2x, the X's cancel and 6 ÷2=3

BTW "cancels" means that a number divided by itself equals one, so it "disappears" from the expression

7 0
3 years ago
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