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melisa1 [442]
3 years ago
7

In a circle, a central angle whose measure is pi/2 radians intercepts an arc whose length is 3pi/2 centimeters. How many centime

ters are in the radius of the circle?

Mathematics
1 answer:
Alja [10]3 years ago
6 0
Attached the solution and work.

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Surface area of a cylinder 1m radius and 5m side​
damaskus [11]

Answer:

37.7 m

Step-by-step explanation:

Use this formula:

A=2πrh+2πr^{2}

3 0
4 years ago
Read 2 more answers
In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as
nika2105 [10]

Answer:

The value of the car in very nice condition is $28,500.

Step-by-step explanation:

Consider the provided information.

In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as a car in very nice condition.

The mixed fraction can be written as:

2 \frac{1}{4}=\frac{9}{4}

Let x is the value of car in very nice condition.

64,125 =\frac{9}{4}x

x=\frac{64,125\times 4}{9}

x=28,500

Hence, the value of the car in very nice condition is $28,500.

7 0
3 years ago
Fun center rents popcorn machines for &20 per hour. In addition to the hourly charge, there is a rental fee of $35. Is this
Gelneren [198K]

Answer:

No. It is not proportional.

4 0
3 years ago
The graph of this function is shifted downwards and the axis of symmetry remains x=1. Which function below the equation of the n
Natali5045456 [20]

Answer:

y=-x^{2}+2x

y=-x^{2}+2x-4

y=-x^{2}+2x-3

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2} +k

where

(h,k) is the vertex

The axis of symmetry is equal to the x-coordinate of the vertex

so

x=h

If a> 0 then the parabola open upward (vertex is a minimum)

If a< 0 then the parabola open downward (vertex is a maximum)

In this problem we have

y=-x^{2} +2x+3

The vertex is the point (1,4) ------> observing the graph

The axis of symmetry is x=1

If the graph of this function is shifted downwards and the axis of symmetry remains x=1

then

The x-coordinate of the vertex of the new graph must be equal to 1

The y-coordinate of the vertex of the new graph must be less than 4

The parabola of the new graph open downward

therefore

<u>Verify each case</u>

case a) y=-x^{2}+2x

Convert to vertex form

y=-(x^{2}-2x)

y-1=-(x^{2}-2x+1)

y-1=-(x-1)^{2}

y=-(x-1)^{2}+1

The vertex is (1,1)

therefore

The function could be the equation of the new graph

case b) y=-x^{2}-2x+3

Convert to vertex form

y-3=-(x^{2}+2x)

y-3-1=-(x^{2}+2x+1)

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

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

The vertex is (-1,4)

therefore

The function cannot be the equation of the new graph

case c) y=-x^{2}+2x-4

Convert to vertex form

y+4=-(x^{2}-2x)

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

y+3=-(x-1)^{2}

y=-(x-1)^{2}-3

The vertex is (1,-3)

therefore

The function could be the equation of the new graph

case d) y=-x^{2}+2x+4

Convert to vertex form

y-4=-(x^{2}-2x)

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

y-5=-(x-1)^{2}

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

The vertex is (1,5)

therefore

The function cannot be the equation of the new graph

case e) y=-x^{2}+2x-3

Convert to vertex form

y+3=-(x^{2}-2x)

y+3-1=-(x^{2}-2x+1)

y+2=-(x-1)^{2}

y=-(x-1)^{2}-2

The vertex is (1,-2)

therefore

The function could be the equation of the new graph

8 0
3 years ago
The value of a rare comic book is expected to follow a geometric sequence from year to year. It is presently worth $800 and is e
makvit [3.9K]
You add 1/4 each year:
800 to 1000 in one year
1000 to 1250 in 2
1250 to around 1812.5
6 0
3 years ago
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