A triangle has angle measurements of 27 degrees, 56 degrees and 97 degrees. What kind of triangle is it?
1 answer:
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Answer:
b = 71 m
A = 83°
C = 29°
Step-by-step explanation:
Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.
Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.
b = √(a² +c² -2ac·cos(B))
b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48
b ≈ 70.82005 ≈ 71 . . . meters
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One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.
sin(A)/a = sin(B)/b
A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°
A ≈ 83°
C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°
C ≈ 29°
Or, you can find the remaining angle from 180° -68° -83° = 29°.
Answer:
He should work hours in overtime.
Step-by-step explanation:
Let x represents the number of hours of regular time and y represents the number of hours of overtime,
Since, earnings are $24 per hour for regular time and $36 per hour for overtime,
Thus, total earning = (24x + 36y) dollars,
Here, x = 40 hours and total earning = $ 1200,
By substituting the values,
1200 = 24(40) + 36y
1200 = 960 + 36y
240 = 36y
⇒
Hence, he should work hours in overtime.
Answer:
Step-by-step explanation:
The formula for the nth term of a geometric sequence is
aₙ = a₁rⁿ⁻¹
In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.
Check:
It checks.