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natali 33 [55]
3 years ago
15

Inga knows that the radius of a certain cone is 4 cm and its volume is about 134 cubic centimeters. Which is the best estimate o

f the cone's height?
Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:

h=8cm

Step-by-step explanation:

V= πr^2h/3

Where

V=volume of a cone

π=pi= 3.14

r= radius=4cm

h= height = ?

V= πr^2h/3

134= 3.14*4*4*h/3

134= 50.24h/3

Divide both sides by 50.24

h/3= 134 / 50.24

h/3= 2.67

Cross product

h= 2.67*3

h= 8.01

Approximately h= 8cm

The best estimate of the cone's height is 8cm

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iris [78.8K]

Answer:

There are 25 students in the class.

Step-by-step explanation:

Since we know the percentage of students who want an ice cream party is 20%, and 5 students want an ice cream party, we know that:

\frac{5}{S}=0.2

, where S is the total amount of students. We can then solve for S:

\frac{5}{S}=0.2 Given equation

5=0.2*S Multiply by S

25=S Divide by 0.2

Therefore, there are 25 students in the class.

7 0
3 years ago
Read 2 more answers
A small company that manufactures snowboards uses the relation below to model its profit. In the model,
amm1812

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

     

8 0
3 years ago
Helpppppppppppppppppppppppppppppppppppppp
german

Answer:

\dfrac{x^4y^4}{81}

Step-by-step explanation:

(\dfrac{3}{xy})^{-4} =

= (\dfrac{xy}{3})^{4}

= \dfrac{(xy)^4}{3^4}

= \dfrac{x^4y^4}{81}

4 0
3 years ago
Point A(-2, -2) and B(3, -2) are dilated with the center of dilation at C(0, 0) and k=2.
frez [133]

9514 1404 393

Answer:

  A'(-4, -4), B'(6, -4), parallel

Step-by-step explanation:

The dilation factor multiplies each of the coordinate values. The line that was y=-2 becomes the line y=-4, a parallel horizontal line.

6 0
3 years ago
Lura’s chocolate bar is 71% cacoa. If the weight of the chocolate bar is 58 grams, how many grams of cocoa does it contain? Roun
gtnhenbr [62]
58*0.71= around 41.2 grams of coco. This is because we can multiply to get this.

Please like and brainiest if correct!
4 0
2 years ago
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