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2 years ago

Find the Equation to the line below

Mathematics

1 answer:

9966 [12]2 years ago

6 0

Answer:

$y=\frac{1}{1}x+2$

Step-by-step explanation:

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an amusement park has 18 rides, 30 games, and 8 water slides. write each ratio in simplest form in two different ways

QveST [7]

Answer:

Step-by-step explanation:

<u>A three tern ratio</u>

What is a three term ratio?

A three-term ratio compares three quantities measured in the

same units.

The ratio of 18 rides, 30 games, and 8 water slides. can be written as

18:30:8

in the simplest form it is expressed as

9:15:4

in other way it is expressed as

9 to 15 to 4

another type of ratio is the two term ratio

e,g 1:2

3 0

3 years ago

A soup can in the shape of a right circular cylinder is to be made from two materials. The material for the side of the can cost

Advocard [28]

Answer:

Radius = 1.12 inches and Height = 4.06 inches

Step-by-step explanation:

A soup can is in the shape of a right circular cylinder.

Let the radius of the can is 'r' and height of the can is 'h'.

It has been given that the can is made up of two materials.

Material used for side of the can costs $0.015 and material used for the lids costs $0.027.

Surface area of the can is represented by

S = 2πr² + 2πrh ( surface area of the lids + surface are of the curved surface)

Now the function that represents the cost to construct the can will be

C = 2πr²(0.027) + 2πrh(0.015)

C = 0.054πr² + 0.03πrh ---------(1)

Volume of the can = Volume of a cylinder = πr²h

16 = πr²h

$h=\frac{16}{\pi r^{2}}$ -------(2)

Now we place the value of h in the equation (1) from equation (2)

$C=0.054\pi r^{2}+0.03\pi r(\frac{16}{\pi r^{2}})$

$C=0.054\pi r^{2}+0.03(\frac{16}{r})$

$C=0.054\pi r^{2}+(\frac{0.48}{r})$

Now we will take the derivative of the cost C with respect to r to get the value of r to get the value to construct the can.

$C'=0.108\pi r-(\frac{0.48}{r^{2} })$

Now for C' = 0

$0.108\pi r-(\frac{0.48}{r^{2} })=0$

$0.108\pi r=(\frac{0.48}{r^{2} })$

$r^{3}=\frac{0.48}{0.108\pi }$

r³ = 1.415

r = 1.12 inch

and h = $\frac{16}{\pi (1.12)^{2}}$

h = 4.06 inches

Let's check the whether the cost is minimum or maximum.

We take the second derivative of the function.

$C"=0.108+\frac{0.48}{r^{3}}$ which is positive which represents that for r = 1.12 inch cost to construct the can will be minimum.

Therefore, to minimize the cost of the can dimensions of the can should be

Radius = 1.12 inches and Height = 4.06 inches

5 0

3 years ago

A triangle has area 42 cm squared find the height in centimeters if it is 5 cm shorter than the base

topjm [15]

<span>Base = 12cm
Height = 7cm</span>

3 0

3 years ago

The sum of two integers with different signs is eight give to possible integers that fit this description

Soloha48 [4]

An easy way is to do this
the 2 numbers are -x and x+8 where x is an integer

we can generate lots of numbers this way

example
-1 and 9
-2 and 10

8 0

3 years ago

Please help i will give 10 brainliests

-BARSIC- [3]

Answer:nah

Step-by-step explanation:

8 0

3 years ago