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Sveta_85 [38]
4 years ago
9

The Volume of the cone shown is 6 cubic inches. What is the height of a cone with the same base diameter but a volume of only 3

cubic inches?
Mathematics
1 answer:
Viefleur [7K]4 years ago
5 0
We know that
 [volume of the cone]=(1/3)*area of the base*height
h-----> height 
AB-----> area of the base
so
[volume of the original cone]=(1/3)*AB*h
volume=6 in³
(1/3)*AB*h=6--------> h=18/AB

For <span>a cone with the same base diameter but a volume of only 3 cubic inches
</span>(1/3)*AB*h=3 in³-------> h=9*AB

the answer is
<span>The new cone height is half the original height</span>
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An observation deck extends 202 feet out above the valley. The deck sits 152 feet above the valley floor. If an object is droppe
OleMash [197]

Answer:

<h3>3 secs</h3>

Step-by-step explanation:

Given the height of the object as it drops from the observation deck expressed as;

h= -16t^2+152

To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;

8 = -16t^2+152

subtract 8 from both sides

8-8 = -16t^2+152-8

0 =  -16t^2+144

0-144 =  -16t^2

-144 = -16t^2

16t^2 = 144

Divide both sides by 16;

16t^2/16 = 144/16

t^2 = 9

t = √9

t = 3seconds

Hence it will take 3 seconds for the object to be 8 feet above the valley floor

6 0
3 years ago
An arc subtends a central angle measuring \dfrac{\pi}{2}
Agata [3.3K]

Arc Length is 1/4th of the circumference .

<u>Step-by-step explanation:</u>

Here we need to find fraction of the circumference is this arc when An arc subtends a central angle measuring \dfrac{\pi}{2} radians ! Let's find out :

We know that circumference of an arc subtending a central angle of x is :

⇒ Arc = \frac{Angle}{360}(2\pi r)

⇒ Arc = \dfrac{\frac{\pi}{2}}{360}(2\pi r)

⇒ Arc = \frac{90}{360}(2\pi r)

⇒ Arc = \frac{90}{90(4)}(2\pi r)

⇒ Arc = \frac{1}{4}(2\pi r)

⇒ Arc = \frac{1}{4}(Circumference)

Therefore , Arc Length is 1/4th of the circumference .

4 0
3 years ago
PLEASE HELP
oee [108]
3:1 ratio meaning for every 3 brown eyed people there are 1 blue eyed. So if you have 12 brown every you have 4 blue eyed. Giving you a total of 16 people.
6 0
3 years ago
Please help me i don’t understand this.
Sveta_85 [38]

Answer:

3x6

(3)(6)

6+6+6

for represent the situation

Step-by-step explanation:

the dining room has 3 tables

and at each table there are 6 chairs so multiplication is the operation to use to find the total

therefore the other operations do not represent the situation

but 6+6+6 represents because it is also equal to 18

5 0
3 years ago
6. Ricky earns $100.95 for working at the bakery. If he earns $14.55 per hour. How many hours
Alex73 [517]
Ricky works almost 7 hours if your rounding.
6 0
3 years ago
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