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andrey2020 [161]
4 years ago
13

Need help on the last problem please...

Mathematics
1 answer:
nevsk [136]4 years ago
4 0

Answer:

y = 97°

Step-by-step explanation:

z = 180 - 55 - 42 = 83

Total angle in a triangle is 180°

y = 180 - z = 180 - 83 = 97°

Supplementary angles

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Suppose a circle has a radius of 13 inches. How far would a 24 inch chord be from the center of the circle? (Hint: Draw a diagra
lys-0071 [83]

Answer:

Step-by-step explanation:

Directions

  • Draw a circle
  • Dear a chord with a length of 24 inside the circle. You just have to label it as 24
  • Draw a radius that is perpendicular and a bisector through the chord
  • Draw a radius that is from the center of the circle to one end of the chord.
  • Label where the perpendicular radius to the chord intersect. Call it E.
  • You should get something that looks like  the diagram below. The only thing you have to do is put in the point E which is the midpoint of CB.

Givens

AC = 13 inches                   Given

CB = 24 inches                  Given

CE = 12 inches                    Construction and property of a midpoint.

So what we have now is a right triangle (ACE) with the right angle at E.

What we seek is AE

Formula

AC^2 = CE^2 + AE^2

13^2 = 12^2 + AE^2

169 = 144 + AE^2                     Subtract 144 from both sides.

169 - 144 = 144-144 + AE^2     Combine

25 = AE^2                                Take the square root of both sides

√25 = √AE^2

5 = AE

Answer

The 24 inch chord is 5 inches from the center of the circle.

4 0
2 years ago
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Ok now these are my very last points please help
Snowcat [4.5K]

Answer:

wait what grade are you in ?

5 0
3 years ago
Graph the line with slope 1/4 and y-intercept -8
kherson [118]

Solution: Below! ^^

Detailed explanation:

Hii! I'm sorry, I can't graph the line for you, but I'll try to give you the best possible explanation.

First, note that the question provides us with the info that the y intercept is -8. This is a very valuable piece of information!

This means that the line crosses the y axis (since it's the y intercept) at the point (0,-8). Plot it on the co-ordinate plane.

Next, this question also provides us with the fact that the slope of the line is 1/4. This is yet another valuable piece of information!

What this tells us is: from that point (0,-8), you need to go up 1 unit, then over 4, and so forth, until you obtain a line.

_________

Hope I helped, best wishes & happy studies!

Please reach out to me if any queries arise.

_________

5 0
2 years ago
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17. A grab bag contains 3 football cards and 7 basketball cards. An experiment consists of taking one card out
allochka39001 [22]

Answer:

I think it is B but I'm sorry if it's wrong.

6 0
4 years ago
Cross-multiplication is helpful in: a. quadratic equations c. linear equations b. solving proportions d. word problems
Romashka [77]

Answer:

Cross multiplying fractions helps us to see if numbers are equal, and if not, which is bigger and which is smaller. But that is not its only use. Cross multiplying fractions can help us to solve for unknown variables in fractions.

Step-by-step explanation:

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1 year ago
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