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Leno4ka [110]
3 years ago
6

A sporting goods company is planning to manufacture a commemorative lacrosse

Mathematics
1 answer:
LiRa [457]3 years ago
5 0

Answer:

Volume of this cylinder = 785.71 Cm³

Surface area of this cylinder​ = 157.14 Cm²

Step-by-step explanation:

Given:

Height of cylinder = 10 Cm

Radius of cylinder = 10 / 2 = 5 Cm

Find:

Volume of this cylinder.

Surface area of this cylinder​

Computation:

Volume of this cylinder = πr²h

Volume of this cylinder = (22/7)(5)²(10)

Volume of this cylinder = 785.71 Cm³

Surface area of this cylinder​ = 2πr(h+r)

Surface area of this cylinder​ = 2(22/7)(5)(10+5)

Surface area of this cylinder​ = 2(22/7)(5)(15)

Surface area of this cylinder​ = 157.14 Cm²

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Refer to the figure shown below.

The coordinates of point m are (2,5).
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Answer:
Possible coordinates for n lie on the circle (x-2)² + (y-5)² = 16.

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The price of a computer was $1,200 after applying a 20% discount. What was the original price of the computer?
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Answer:

1500 = original price

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New price of computer = original price - original price * percent off

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New price of computer = original price (1- percent off)

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the graph below is a translated reflection of the graph of the parent function. Write the quadratic function to model the graph.
Pie

Answer:   y=-\dfrac{16}{9}(x+3)^2+4

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

Use the vertex formula:  y = a(x - h)² + k    where

  • a is the vertical stretch
  • -a is a reflection over the x-axis
  • (h, k) is the vertex

We can see that the vertex of the curve is (-3, 4)  -->  h = -3, k = 4

and it is a reflection over the x-axis --> a-value is negative

We need to find the a-value. Choose another point on the curve and plug it into the vertex formula for (x, y) and then solve for a.

I will choose (x, y) = (-3/2, 0)

0=a\bigg(\dfrac{-3}{2}+3\bigg)^2+4\\\\\\-4=a\bigg(\dfrac{3}{2}\bigg)^2\\\\\\-4\bigg(\dfrac{2}{3}\bigg)^2=a\\\\\\-\dfrac{16}{9}=a

Now that we know the vertex and the a-value, we can input them into the vertex formula:

                         \large\boxed{y=-\dfrac{16}{9}(x+3)^2+4}

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3 years ago
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