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3 years ago

GOAT is a parallelogram. Find the length of AG.

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

Answer:

AG = 16

Step-by-step explanation:

If you have a parallelogram, then the diagonals are bisected, meaning GS and SA are congruent, same with OS and ST. So, because 8 + 8 = 16, the length of AG = 16.

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In the past year, Hans watched 38 movies that he thought were very good. He watched 95 movies over the whole year. Of

Len [333]

Answer:

40%

Step-by-step explanation:

38×100=3800÷95=40

40%×95=38

8 0

3 years ago

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving th

stiv31 [10]

Answer:

He walks 28 blocks.

Step-by-step explanation:

0,0 to 0,8 is 8 blocks

0,8 to 6,8 is 6 blocks

6,8 to 6,0 is 8 blocks

returning home (6,0 to 0,0) is 6 blocks

8+6+8+6=28 blocks

6 0

3 years ago

Please calculate the probability using the following equations (in document)

labwork [276]

Substitute u = t ³/2592 and du = t ²/864 dt. Then

$P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du$

The probability that a 12 hour surgery is successful is P (12), so letting T = 12 gives

$P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}$

4 0

3 years ago

The two triangles are congruent as suggested by their appearance. Find the value of c. The diagram is not to scale.

Nostrana [21]

C = 4
Use the formula a^2 + b^2 = c^2
5 = a and 4 = b

3 0

3 years ago

The volume of a cylinder is given by the formula v= m'h. where r is the radius of the cylinder and h is the height.

Verdich [7]

Answer:

The Volume of cylinder is: $\mathbf{Volume=2\pi x^3-5\pi x^2-24\pi x+63\pi }$

Option B is correct option.

Step-by-step explanation:

We are given:

Volume of cylinder = h = 2x+7

Radius of cylinder = r = x-3

We need to find volume of cylinder

The formula used is: $Volume=\pi r^2h$

Putting values and finding volume

$Volume=\pi r^2h\\Volume=\pi (x-3)^2(2x+7)\\Volume=\pi (x^2-6x+9)(2x+7)\\Volume=\pi (2x(x^2-6x+9)+7(x^2-6x+9))\\Volume=\pi (2x^3-12x^2+18x+7x^2-42x+63)\\Volume=\pi (2x^3-12x^2+7x^2-42x+18x+63)\\Volume=\pi (2x^3-5x^2-24x+63)\\Volume=2\pi x^3-5\pi x^2-24\pi x+63\pi \\$

So, The Volume of cylinder is: $\mathbf{Volume=2\pi x^3-5\pi x^2-24\pi x+63\pi }$

Option B is correct option.

8 0

2 years ago