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ivann1987 [24]
3 years ago
12

What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary. A cone with height 8 inches

and volume 52 inches cubed. 14.7 inches squared 17.3 inches squared 18.5 inches squared 19.5 inches squared
Mathematics
2 answers:
docker41 [41]3 years ago
7 0

Answer:

The area of the circle is 19.5 in²

Step-by-step explanation:

First of all to solve this problem we have to know the formula to calculate the volume of a cone

v = volume  = 52 in³

r = radius

h = height  = 8 in

π = 3.14

v = 1/3 * π * r² * h

we solve r

3 * v /h * π = r²

we replace the known values

3 * 52 in³ / 3.14 * 8 in = r²

156 in³ / 25.12 in = r²

6.21 in² = r²

√6.21 in² = r

2.49 in = r

now that we have the radius we need to use the area formula of a circle:

a = area

r = radius = 2.49 in

π = 3.14

a = π * r²

we replace the known values

a = 3.14 * (2.49 in)²

a = 3.14 * 6.21 in²

a = 19.5 in²

The area of the circle is 19.5 in²

denpristay [2]3 years ago
7 0

Answer:

19.5

Step-by-step explanation:

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sleet_krkn [62]

9514 1404 393

Answer:

  C.  2x^2 -8x +3 +1/(x +4)

Step-by-step explanation:

Synthetic division is useful for finding the quotient. Or, you can use polynomial long division. The result is the same, but synthetic division requires less writing.

7 0
3 years ago
Question: "If y > 3, what is the value of n ?"
iris [78.8K]

Answer:

y-3

Problem:

What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?

Step-by-step explanation:

Dividend=quotient×divisor+remainder

So we have

xy-3=(x-1)×(y)+remainder

xy-3=(xy-y)+remainder *distributive property

Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.

We need to get rid of minus y so we need plus y in the remainder.

We also need minus 3 in the remainder.

So the remainder is y-3.

Let's try it out:

xy-3=(xy-y)+remainder

xy-3=(xy-y)+(y-3)

xy-3=xy-3 is what we wanted so we are done here.

7 0
3 years ago
A basketball player stands near the middle of the court and throws the ball toward the basket.
kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So,6=a(0-18)^2+12

6=324a+12

-6=324a

\frac{-6}{324}=a

\frac{-1}{54}=a

Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

8 0
3 years ago
Label the dividend, divisor, and quotient in the problem 27,438 divided by 9 equals 3,048 r6.
Alika [10]
The dividend is the number being divided so the dividend is 27,438
The divisor is the one dividing the number so the divisor is 9
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Your answer is C.

Hope this helps!

7 0
3 years ago
Which one of these lines is the equation
yaroslaw [1]

Answer:

Line B - red line

Step-by-step explanation:

7 0
3 years ago
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