Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
Answers
Answer:
b = 13.8
A = 45°
C = 35°
Step-by-step explanation:
Given:
m<B = 100°
a = 10
c = 8
Required:
b, m<C, and m<A
✔️Find b using Cosine Rule:
b² = a² + c² - 2*ac*Cos(B)
Plug in the values
b² = 10² + 8² - 2*10*8*Cos(100)
b² = 164 - (-27.7837085)
b² = 191.783709
Take the square root of both sides
b = 13.8 (nearest tenth)
✔️Find m<C using Sine rule:
[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]
Multiply both sides by 8
[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]
[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]
[tex] Sin(C) = 0.5709 [/tex]
[tex] C = Sin^{-1}(0.5709) [/tex]
[tex] C = 35 [/tex] (nearest degree)
m<C = 35°
✔️m<A = 180 - (100 + 35) (sum of triangle)
m<A = 180 - 135
m<A = 45°
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Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92.
Answers
You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.
Here is the complete question:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.
How many minutes would it take the printer to use all 92 sheets of paper?
Answer:
It would take 11.5 minutes for the printer to use all 92 sheets of paper
Step-by-step explanation:
Given:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92To determine:
How many minutes would it take the printer to use all 92 sheets of paper?
Given the function
[tex]p(t) = -8t + 92[/tex]
We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.
Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes
[tex]0 = -8t + 92[/tex]
[tex]8t = 92[/tex]
Divide both sides by 8
[tex]\frac{8t}{8}=\frac{92}{8}[/tex]
[tex]t=\frac{23}{2}[/tex]
[tex]t = 11.5[/tex] minutes
Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paperGAIQNFKDKER HELP PLZ
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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its -9 :)
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Step-by-step explanation:
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In equations like this, look at the signs of the numbers and that will tell you what to do. Remember it like this:
"Same signs add and keep. Different signs subtract. Keep the sign of the higher number then you'll be exact"