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elixir [45]
3 years ago
6

Angle Measures and segment lengths. Find x.

Mathematics
1 answer:
Masja [62]3 years ago
8 0

I hope this helps you

8^2=4.(4+x)

64=4.(4+x)

16=4+x

x=12

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The triangles are similar by the AA Similarity Postulate. Find the value of x
alexandr1967 [171]
4.5/3= 1.5

It is 1.5 times bigger than the smaller triangle.

So,

5*1.5= 7.5

x= 7.5

I hope this helps!
~kaikers
3 0
3 years ago
Which property does each equation demonstrate?
abruzzese [7]

Answer:

it demonstartes a algebraic property

Step-by-step explanation:

3x#

=8=9=

=67

8 0
3 years ago
Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

  • 2π/150t = 2.214297

  • t = 52.86s ≈ 53 s ← answer
4 0
3 years ago
Jill borrows a pencil and returns it after the Warm Up. She then borrows a different pencil to show work on her CFA.  The proba
mestny [16]

Probabilities are used to determine the chances of events

The probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

<h3>How to calculate the probability</h3>

Represent the events as follows:

  • A represents mechanical pencil
  • B represents wooden pencil
  • C represents colored pencil

So, we have

P(A) = 20%

P(B) = 40%

P(C) = 30%

The probability that Jill selects a wooden pencil and then a mechanical pencil is then calculated as:

P(B n A) = P(B) * P(A)

This gives

P(B n A) = 40% * 20%

Evaluate the product

P(B n A) = 8%

Hence, the probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

Read more about probabilities at:

brainly.com/question/9385303

4 0
3 years ago
How does f(x) = 3 ^x change over the interval x = 4 to x= 5
zloy xaker [14]

Answer:

f(x) = 3^x increases steadily on the interval [4,5].

Step-by-step explanation:

This exponential function f(x) = 3^x has a positive base (3) which is larger than 1.  Thus, this function continues to increase as x increases, including the case where x increases from 4 to 5.

6 0
3 years ago
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