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3 years ago

What is the area of the Red Cross-section??? PLEASE HELP!!!!

Mathematics

1 answer:

alexandr1967 [171]3 years ago

8 0

X is the radius of the slice. So we must find the equation of the side of the cone.

y=mx+b, so now we must use two points to solve for the slope, or "m".

m=(y2-y1)/(x2-x1)

m=(0-15)/(5-0)

m=-15/5

m=-3 so our line so far is:

y=-3x+b, b=y-intercept=value of y when x=0, which we can see is 15 ft so:

y=-3x+15

Now the radius is x, so we must solve for x from the equation above...

-3x+15=y subtract 15 from both sides

-3x=y-15 divide both sides by -3

x=(15-y)/3

And area of this circle is:

A=πx^2, and using x found above:

A=(π/9)(15-y)^2

A=(π/9)(225-30y+y^2), so when y=6 ft

A=(π/9)(225-30*6+6^2)

A=(π/9)(81)

A=9π or if we let π=pi

A=9pi ft^2

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Find the reciprocal of the number 2/7

pochemuha

Answer:

7/2

Step-by-step explanation:

The reciprocal is basically just flipping the fraction upside down. Reciprocal is also called inverse.

6 0

3 years ago

Stan lawn mower had 1/8 of a gallon of gasoline in the tank. Stan started mowing and used all of the gasoline. He put 6/10 of a

tigry1 [53]

Answer: Stan used $\frac{1}{24}\ gallon$ of gasoline.

Step-by-step explanation:

Given: The amount of gasoline in the tank of Stan lawn mower= $\frac{1}{8}\ of\ gallon$

Then he put the amount of gasoline in the tank= $\frac{1}{6}\ of\ gallon$

The total amount of gasoline filled in the tank = $\frac{1}{8}+\frac{1}{6}\ gallons$

⇒ The total amount of gasoline filled in the tank = $\frac{3+4}{24}=\frac{7}{24}\ gallons$

The amount of gasoline left in the tank after mowing= $\frac{1}{4}\ of\ gallon$

Now, the total gasoline used by Stan= $\frac{7}{24}-\frac{1}{4}=\frac{7-6}{24}=\frac{1}{24}\ gallon$

5 0

3 years ago

Answer of this question

Alisiya [41]

The office head is actually 20,00 who wrote this paper

4 0

3 years ago

Given the domain {-4, 0, 5}, what is the range for the relation 12x, + 6y = 24?

Alinara [238K]

↣ Substitute all domains in the equation for the ranges.

$12x+6y=24$

$2x+y=4$ ↣ Divide the whole equation by 6.

↣ Substitute x = -4 in the equation.

$2(-4)+y=4\\-8+y=4\\y=4+8\\y=12$

Our range is 12 when x = -4. In the choice there is only one choice that has range value as 12. Therefore, the answer is B.

↣ <em>If you want me to solve for all ranges then you can reply under this. Since there is only one choice that has 12 as range value, I decide not to continue. So If you want me to solve for all ranges then feel free to reply under this. ↣</em>

7 0

3 years ago

Evaluate each expression for w=5, x=3, y=4 and z=8.<br> 3y+6/2x

Aliun [14]

Plug in your numbers so the equation will turn out to be 3(4)+6/2(3) , you need to simplify 6/2 which will be 3 and 3 times 3 = 9 so the equation will be 3(4)+9 and 3 times 4 = 12 so the equation will now be 12+9 = 21
Answer= 21

4 0

4 years ago