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2 years ago

The volume of a cone is 88π cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.

2 answers:

9 0

To evaluate the radius of the cone we proceed as follows:
V=1/3 πr²h
plugging in the values, v=88π, h=8 ft
step 1
88π1/3πr²(8)
step 2
88π=8/3πr²
step 3
divide both sides by π
88=8/3r²
multiply both sides by 3/(8)
88(3/8)=r²
step 4
simplify
33=r²
step 5
get the square root
r=√33

Thus the mistake that Fatima made was:
<span> In step 3, Fatima did not multiply 88 by the reciprocal of 8/3 </span>

navik [9.2K]2 years ago

5 0

Answer:

step 3

Step-by-step explanation:

took test

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Simplify:<br><br> {(-8)^-4 ÷ 2^-8}^2

Aleksandr-060686 [28]

Answer:

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8 0

2 years ago

Read 2 more answers

What is the equation of the line perpendicular to y=2x+3.14 going through the points (2,4)?

inessss [21]

Answer:

$x+2y-10=0$

Step-by-step explanation:

Consider an equation: $y=mx+c$

Here, m is the slope of the line and c is the y-intercept.

Given equation is $y=2x+3.14$

Here, slope is $m=2$

As product of slopes of two perpendicular lines is equal to $-1$ , slope of the required line is $m_1=\frac{-1}{m}=\frac{-1}{2}$ .

Let $(x_1,y_1)=(2,4)$

Equation of the required line is $y-y_1=m_1(x-x_1)$

$y-4=\frac{-1}{2}(x-2)\\2(y-4)=-1(x-2)\\2y-8=-x+2\\x+2y-8-2=0\\x+2y-10=0$

8 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!

Marianna [84]

Answer:

Step-by-step explanation:

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3 years ago

Please help .... Jeff is traveling from Atlanta to Columbia and then to Charleston. He decides to plot the cities on a coordinat

Crazy boy [7]

Answer:

The answer is C

Step-by-step explanation:

Use the Pythagoras theorem which states that a2 = b2 + c 2

For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively

Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.

a, which represents the distance between Colombia and Charleston would be

a² = b² + c²

a² = (3)² + (-11)²

a = √[(3)² + (-11)²]

Hence the answer is C

5 0

3 years ago

What is -3/8 - (1/6)

Mrac [35]

Remove parentheses.

-3/8 -1/6

Find the Least Common Denominator (LCD) of 3/8, 1/6. In other words, find the Least Common Multiple (LCM) of 8,6.

LCD=24

Make the denominators the same as the LCD.

- 3x3/8x3 - 1x4/6x4

Simplify. Denominators are now the same

-9/24 - 4/24

Join the denominators

-9-4/24

Simplify

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7 0

3 years ago