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3 years ago

The circumference of the circle in the above figure is 128 ft. What is the length of AB?

1 answer:

4 0

Set up a proportion: Central Angle/360= arc length/ circumference where the central angle= 45 and circumference= 128 ft. After you cross multiply, you should find that the answer is 16ft which is A.

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Natural gas cannot flow out of some shale deposits naturally when the rock has low permeability. In this situation, a method cal

klio [65]

Answer:

1. 2. chemicals in the injected fluids can get into groundwater that is used for drinking water;

B). Hydraulic fracturing allows geologists to capture natural gas stored in the pore spaces of shale.

Explanation:

Fracking is a huge amount of the water that must be transported to sight at a significant environmental cost and occurrence of the minor tremors and is environmentally and potentially dangerous chemicals of they escape during the drilling and pollute the groundwater.

And the hydraulic fracking is drilling methods used to extract the natural oil and gas from deep inside the earth and is used to study the geology of the earth.

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3 years ago

Describe the current government in Angola

Inessa05 [86]

Currently, the Angolan government is a Presidential republic. this is when the head of the government is the president the executive body in that branch of government.

8 0

3 years ago

Can you help plss ??

Mariulka [41]

Answer:

I believe the is B

Explanation:

Hope this helps :)

5 0

2 years ago

Read 2 more answers

Find an equation for the perpendicular bisector of the line segment whose endpoints

zzz [600]

Answer:

y= -7/2x-26/2 or y= -7/2x-13

Explanation:

To solve this question you need all of these formulas:

gradient: $\frac{y2-y1}{x2-x1}$ , Point-Slope $y-y1=m(x-x1)$ ,

perpendicular m $(m1)x(m2)=-1$ , Midpoint $(\frac{x1+x2}{2}$ , $\frac{y1+y2}{2} )$

and equation of a line $y=mx+c$

where m stands for gradient

First things first.

To start you have to know the data of the line that includes the two endpoints, so you calculate its gradient (m) of this line with the gradient fromula: $m=\frac{-4-(-8)}{5-(-9)}$ , which equals 4/14 or 2/7

(It can also be called rise/run) (Remember the rule of signs where - and - equal +)

with that information you can proceed with the point-slope or point-gradient formula, so you plug the values: y-(-8) = 2/7 (x-(-9)), which results in y+8=2/7(x+9) and then y+8=2/7x+18/7.

To finish the equation you move eight to the other side. To simplify things you can change it into a fraction as I did, and remember to change signs.

y=2/7x+18/7 -8 -> y=2/7x+18/7-56/7 . This gives us the number of y=2/7x-38/7, which is the equation of the first line.

Now to know the gradient of the second line you apply the formula of perpendicular bisector where m1 x m2 = -1. We know m1 (gradient of the first line) is 2/7, so m2 = $\frac{-1}{2/7}$ = -7/2. m2 is therefore -7/2

Now you have to know the midpoint between the two endpoints, which will act as the start point of the perpendicular bisector

M (midpoint) = $(\frac{-9+5}{2} ,$ $\frac{8+(-4)}{2} )$ , which give us the coordinates of (-2, -6)

(remember, x coordinate is always first)

with this point we can apply again the point-slope formula to know the equation of the line:

y-(-6)=-7/2(x-(-2)) -> y+6=-7/2(x+2) -> y+6=-7/2x - 14/2

Move the 6 to isolate the y

y=-7/2x -14/2 - 12/2

which equals y= -7/2x -26/2

You can check the results in this page: GraphPlotter

https://www.transum.org/Maths/Activity/Graph/Desmos.asp

To make sure the answer is correct.

Hope it helps :)

8 0

2 years ago

What is Christopher Columbus's favorite color?

Romashka-Z-Leto [24]

Red and blue and white

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3 years ago