Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for B
B = 180° - (90 + 39)° = 180° - 129° = 51°
Using the tangent and sine ratios in the right triangle for b and c
tan39° =
= 
Multiply both sides by b
b × tan39° = 27 ( divide both sides by tan39° )
b =
≈ 7.5 ( to the nearest tenth )
sin39° =
= 
Multiply both sides by c
c × sin39° = 27 ( divide both sides by sin39° )
c =
≈ 28.0 ( to the nearest tenth )
50 + 0.50m = 0.70m
50 = 0.70m - 0.50m
50 = 0.20m
50 / 0.20 = m
250 = m......the plans will cost the same at 250 miles <==
50 + 0.50(250) = 50 + 125 = 175
0.70(250) = 175
and they would both cost $ 175 <==
Answer:
a=10.35
Step-by-step explanation:
Hey There!
All you have to do is plug in the L and W value
a= 4.5(2.3)
4.5x2.3=10.35
so a=10.35
Answer:
option (a) It will be closer to 30 than to 20
Step-by-step explanation:
Data provided in the question:
For sample 1:
n₁ = 10
variance, s₁² = 20
For sample 2:
n₂ = 15
variance, s₂² = 30
Now,
The pooled variance is calculated using the formula,

on substituting the given respective values, we get

or
= 26.0869
Hence,
the pooled variance will be closer to 30 than to 20
Therefore,
The correct answer is option (a) It will be closer to 30 than to 20