Answer:
(a) α = 60°, β = 30°
(b) α ≈ 67.4°, β ≈ 22.6°
Step-by-step explanation:
I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.
(a) For α, we're given the opposite and adjacent sides, so use tangent.
tangent = opposite / adjacent
tan α = √300 / 10
tan α = √3
α = 60°
Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:
tan β = 10 / √300
tan β = 1 / √3
tan β = √3 / 3
β = 30°
(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.
cos α = adjacent / hypotenuse
cos α = 15 / 39
cos α = 5 / 13
α ≈ 67.4°
Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:
sin β = 15 / 39
sin β = 5 / 13
β ≈ 22.6°
Answer:
X = 76*4
= 304 cups of food
Step-by-step explanation:
Given:
- Monkey eat 4 cups of food / day
- Elephants eat 76 times as much as Monkey does / day
So Let X is the number of cups of food that elephants eat per day, we have the equation:
X = 76*4
= 304 cups of food
Hope it will find you well.
Answer:
0.1052
Step-by-step explanation:
Given that proportion of germination in the population is 94% =0.94
p = 0.96
Sample size = 220
Std dev of p = 
The probability that more than 96% of the 220 seeds in the packet will germinate
= 
Assumptions are np and nq >5 and also sample size >220 hence normal
add 38 on both sides, solve for -44 + 38 which is -6.
__________
, is your final answer.
hope this helps :)
Answer:
C. 16π
Step-by-step explanation:
Well we need to find the area of the top circle which has a radius of 4cm.
π(4)^2
16π in terms of pi
<em>Thus,</em>
<em>the answer is C. 16π.</em>
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<em>Hope this helps :)</em>
