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3 years ago

Find the area of figure ABCDE if angles A, B, and C are right triangle

Mathematics

1 answer:

Levart [38]3 years ago

6 0

Answer:

<em>85 ft</em><em>.</em>

Step-by-step explanation:

8*10=80 (the value of the the rectangle by itself)

then we take the values we are given and find the width and height of the triangle. Knowing it is a right triangle, we perform two equations,

15-10 (the total length of the polygon) 5 ft

and

8-6 (to find the height of the triangle, using the length where the hypotenuse of the triangle cuts off the rectangle) 2 ft

With this, we now have the length and width of the right triangle, and multiply them together to get 10. Because that formula only works on rectangles and squares, but we know that the triangle is a right triangle, we divide the 10 in half to get 5, which is the area of the triangle. Together, the value of the area for the rectangle and the triangle together result in 85 ft (remember to label units when in a written test!)

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Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

worty [1.4K]

Answer:

Part A) Circumference

Part B) $C=\pi D$

Part C) The distance traveled in one rotation is 628.32 feet

Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

$C=\pi D$

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

$D=200\ ft$ ----> diameter of the Ferris wheel

substitute in the formula of circumference

$C=\pi (200)\\C=200\pi\ ft$

assume

$\pi=3.1416$

$C=200(3.1416)=628.32\ ft$

therefore

The distance traveled in one rotation is 628.32 feet

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3 years ago

7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted

Debora [2.8K]

Answer:

P(success at first attempt) = 0.1353

Step-by-step explanation:

This question follows poisson distribution. Thus, the formula is;

P(k) = (e^(-G) × (G)k)/k!

where;

G is number of frames generated in one frame transmission time(or frame slot time)

Let's find G.

To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.

Now, in 1000 ms, the number of frames generated = 50

Thus; number of frames generated in 50 ms is;

G = (50/1000) × 50

G = 2.5

To find the chance of success on the first attempt will be given by;

P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353

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3 years ago