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SpyIntel [72]
3 years ago
11

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

w.
V = one-third pi r squared h. Step 1: 88 pi = one-third pi r squared (8). Step 2: 88 pi = StartFraction 8 Over 3 EndFraction pi r squared. Step 3: StartFraction 8 Over 3 EndFraction (88) = r squared. Step 4: 234.7 = r squared. Step 5: 15.3 = r.

What is Fatima’s error?
In step 4, Fatima did not find the correct value of StartFraction 8 Over 3 EndFraction (88).
In step 2, Fatima should not have multiplied One-third and 8.
In step 3, Fatima did not multiply 88 by the reciprocal of StartFraction 8 Over 3 EndFraction.
In step 1, Fatima did not substitute the correct value for the height in the formula.
Mathematics
2 answers:
PolarNik [594]3 years ago
7 0

Answer:

10.00

Step-by-step explanation:

lions [1.4K]3 years ago
6 0

Answer: 10.00

Step-by-step explanation:

You had to multiply and divide and see what you get.

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Julie takes her kids to a playground that has the shape shown. A. While her kids are playing, Julie wants to get some exercise.
Leona [35]

Answer:

a.) Total distance Julie cover = 128 feet

b.) Total area , the playground cover = 256 ft²

Step-by-step explanation:

P. S : The exact question is -

As given,

Length of 1 side = 16 feet

As , we have

4 sides of same length

⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet

a.)

As given Julie does 2 lap of the playground

⇒ Total distance Julie cover = 64 + 64 = 128 feet

b.)

As the playground has equal side, so it must be of square shape

And, we know

Area of square = (Length of one side)²

                        = ( 16 )² = 256 ft²

∴ we get

Total area , the playground cover = 256 ft²

5 0
2 years ago
X,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z​
Rama09 [41]

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

  y^2-2=2x+5z\\  (x+2)^2-2=2x+5(x+4)\\x^2+4x+4-2=2x+5x+20

  x^2+4x+2=7x+20\\x^2+4x+2-7x-20=0\\x^2-3x-18=0\\(x+3)(x-6)=0(x=-3\ or \ x=6)

so the solutions are

x = 6

y = 8

x = 10

6 0
2 years ago
Read 2 more answers
You are looking at two area rugs for your bedroom. One is a square with a side length of 6.3 feet. The other is a rectangle that
Dmitry [639]
-----------------------------------------------------------------
Square Rug
-----------------------------------------------------------------
Area = Length x Length
Area = 6.3 x 6.3
Area = 39.69 ft²

-----------------------------------------------------------------
Rectangle Rug
-----------------------------------------------------------------
Area = Length x Width
Area = 4.8 x 8.2
Area = 39.36 ft²


39.69 ft²  is bigger than 29.36 ft², so the square rug is bigger.

-----------------------------------------------------------------
Ans: The Square Rug covers a greater area
-----------------------------------------------------------------
8 0
3 years ago
La ecuación de la recta que pasa por los puntos (2,-1) y (1,-5) es:
77julia77 [94]

Given:

A line passes through the points (2,-1) and (1,-5).

To find:

The equation of the line.

Solution:

If a line passes through the two points, then the equation of the line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is

y-(-1)=\dfrac{-5-(-1)}{1-2}(x-2)

y+1=\dfrac{-5+1}{-1}(x-2)

y+1=\dfrac{-4}{-1}(x-2)

y+1=4(x-2)

Using distributive property, we get

y+1=4(x)+4(-2)

y+1=4x-8

Subtract 1 from both sides.

y+1-1=4x-8-1

y=4x-9

Therefore, the correct option is B.

5 0
3 years ago
Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?
lyudmila [28]

Answer:

3

Step-by-step explanation:

+2

8 0
3 years ago
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