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zaharov [31]
3 years ago
13

What is the approximate area of a 70 decree sector of a circle with a radius of 8 inches

Mathematics
1 answer:
puteri [66]3 years ago
3 0
The area of the sector will also be 70/360
Sector area = 70/360 • pir^2
= 7/36 • pi • 8^2
A= 112/9 • pi
A= 39.1 inch^2
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Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
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The distance between the boats is 197.93 km.

7 0
2 years ago
Solve the literal equation for y a=9y-3yx
Novay_Z [31]
a=9y-3yx\\\\a=y\big(9-3x\big)\quad|:\big(9-3x\big)\\\\\\\boxed{y=\frac{a}{9-3x}}\qquad \text{for}\quad x\neq 3
6 0
3 years ago
Read 2 more answers
-1+3m=2m+4 <br> what is the answere to that?
oee [108]
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put the like terms together
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7 0
3 years ago
Assume that there are 2 trials.
vampirchik [111]
Answer: The p(success) = 0.6

Your question is a little unclear, but I believe you are asking about the probability that at least one of the trials in the experiment were successful.

If that is the case, you simply have to add the probability of 1 success with the probability of 2 successes.

That is 0.48 +  0.16 = 0.64

Rounding our answer to one decimal place gives us 0.6.
7 0
3 years ago
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What is the value of v? 4/5(v−7)=2
Nostrana [21]
4/5(v - 7) = 2...distribute the 4/5 thru the parenthesis
4/5v - 28/5 = 2 ...multiply everything by 5
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4v = 10 + 28
4v = 38
v = 38/4 reduces to 19/2 or 9 1/2 <==
3 0
3 years ago
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