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Oksi-84 [34.3K]
3 years ago
5

Find the constant of proportionality k as a fraction in simplest form. then enter an equation for the relationship between x and

y.
x: 8, 16, 24, 32
y: 2, 4, 6, 8​
Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

k=1/4 and y=(1/4)x

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What are the coordinates of point F?
Mekhanik [1.2K]

Answer:

C. 4, -2 1/2

Step-by-step explanation:

(x,y)

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5 0
2 years ago
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In angle def , DF=22 and m angle f=45. Find the length of a leg. Leave your answer in simplest radical form
Levart [38]
The figure is the right triangle DEF.

In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).

Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.

Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:

DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2

Taking square roots from both sides:

=> x =  DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2

Remember, both legs have the same length.

Answer: 11√2
6 0
3 years ago
Contestants on a game show spin a wheel with 242424 equally-sized segments. Most of those segments show different prize amounts,
ycow [4]

Using the principle of probability, the probability that the outcome of both spins does not land on "<em>bankrupt</em><em>"</em><em> </em>is 1/144

<u>Given</u><u> </u><u>the</u><u> </u><u>Parameters</u><u> </u><u>:</u>

  • Total Number of possible outcomes = 24
  • Number of outcomes labeled bankrupt = 2
  • Labels which aren't labeled bankrupt = 24 - 2 = 22

<u>Recall</u><u> </u><u>:</u>

  • P(A) = <em>required</em><em> </em><em>outcome</em><em> </em><em>/</em><em> </em><em>Total</em><em> </em><em>possible outcomes</em><em> </em>

<u>First</u><u> </u><u>spin</u><u> </u><u>:</u>

  • P(not bankrupt) = 2 / 24 = 1/12

<u>Second</u><u> </u><u>spin</u><u> </u><u>:</u>

  • P(not bankrupt) = 2/24 = 1/12

P(<em>neither</em><em> </em><em>lands</em><em> </em><em>on</em><em> </em><em>bankrupt</em><em>)</em><em> </em><em>=</em><em> </em>1/12 × 1/12 = 1/144

Therefore, the probability that neither lands on bankrupt is 1/144

Learn more : brainly.com/question/18405415

3 0
2 years ago
Find the area of the circle with the given radius or diameter. Use pi = 3.14. r = 6
svetoff [14.1K]
The answer is 113.1. Hope this helps
3 0
3 years ago
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Luiza starts collecting rare coins. In the first month of her collection, she has 25 coins. Each month since then, she has added
almond37 [142]

Answer: 71 coins

Step-by-step explanation:

First and foremost, we should note that:

12 months = 1 year

2 years = 12 × 2 = 24 months

Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:

= 25 + 2x

where, x = number of months

= 25 + 2(23)

= 25 + 46

= 71 coins

She will have 71 coins after 2 years.

4 0
3 years ago
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