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Anestetic [448]
3 years ago
10

if in a triangle, measure of angle A is 71 degrees, measure of angle B is 42 degrees, and BC= 8, find AC to the nearest hundredt

h.
Mathematics
1 answer:
olasank [31]3 years ago
7 0
Length BC is opposite of angle A and AC is opposite of angle B. 

<span>Since we know one set of opposite angles and lengths and looking for the length where we know the opposite angle, we can use law of sines: </span>

<span>a / sin(A) = b / sin(B) </span>
<span>8 / sin(71) = b / sin(42) </span>
<span>b sin(71) = 8 sin(42) </span>
<span>b = 8 sin(42) / sin(71) </span>
<span>b ≈ 5.66 units (rounded to 2DP)</span>
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At a college, 4/5 of the students take an English class. Of these students, 5/6 Composition. Which fraction of the students at t
Alchen [17]
If I’m doing it correctly it’s 2/3 but I haven’t done it in a while
3 0
3 years ago
Point A has coordinates (3, 4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down
adelina 88 [10]
(-1, 2)

So the original point is (3, 4), when you move to the left or right, it changes the x value. When moving it to the right, you add the amount. When moving to the left, you subtract the amount

So after translating the point 4 units to the left, it should be (-1, 4).

Now, you have to move down. When moving up and down, you add or subtract to the y value. When moving up, you add to the amount. When moving down, you subtract the amount.

After subtracting 2, you should be at (-1, 2)
4 0
3 years ago
Please help me with this if you can? thanks alot :)))​
Lynna [10]

The probabilities are:

  • P(red) = 5/24
  • P(orange) =  0
  • P(blue) =  1/3
  • P(not green)= 17/24
  • P(green or black) = 11/24
  • P(not yellow)  = 1.

<h3>How to find the probabilities?</h3>

The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.

Here we have:

  • 5 red marbles.
  • 7 green marbles.
  • 4 black marbles.
  • 8 blue marbles.

So the total number is 5 + 7 + 4 + 8 = 24.

Then:

  • P(red) = 5/24
  • P(orange) = 0/24 = 0  (because there are 0 orange marbles).
  • P(blue) = 8/24 = 1/3
  • P(not green) = (24 - 7)/24 = 17/24
  • P(green or black) = (4 + 7)/24 = 11/24
  • P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).

If you want to learn more about probability, you can read:

brainly.com/question/251701

#SPJ1

5 0
2 years ago
The perimeter of a rectangle swimming pool is a 114 ft. The width is 7ft more than the lenth. Find lenght and width
Margaret [11]

Answer:

Length- 14 Width- 100

Step-by-step explanation:

First: 7x2=14

Then: 114-14=100

Hope this helps

-Mercury

7 0
3 years ago
Read 2 more answers
Vinnie drives his car 210 miles and has an average of a certain speed. If the average speed had been 3mph more, he could have tr
Pachacha [2.7K]

Answer:

35 mph

Step-by-step explanation:

time = distance / speed

210 miles and has an average of a certain speed

t = 210 / s

If the average speed had been 3mph more, he could have traveled 228 miles in the same length of time

t = 228 / (s + 3)

Set equal

210 / s = 228 / (s + 3)

Cross multiply

210s + 630 = 228s

Subtract 210s from both sides

630 = 18s

Divie both sides by 18

35 = s

35 mph

5 0
3 years ago
Read 2 more answers
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