Answer:
m∠BAC=45°
Step-by-step explanation:
Firs we graph the given points to see the shape of triangle.
We can clearly see that triangle BAC is a right angle triangle whose sides BA and BC both are equal to 4 units.
We know that equal sides of triangle corresponds to equal angles.
Hence
∠A = ∠C ...(i)
We know that sum of all three angles of a triangle is 180°. So we can write
∠A + ∠B + ∠C=180°
∠A + ∠B + ∠A=180° {from (i) }
∠A + 90° + ∠A=180° {∠B is right angle}
2∠A + 90° =180°
2∠A = 90°
divide both siide by 2
∠A = 45°
∠A and ∠BAC are same
Hence
m∠BAC=45°
For this case what we must do is use the law of cosines.
We have then:
12 ^ 2 = 6 ^ 2 + 10 ^ 2 - 2 * (6) * (10) cos (x)
Clearing we have:
cos (x) = (12 ^ 2- (6 ^ 2 + 10 ^ 2)) / (- 2 * (6) * (10))
x = acos ((12 ^ 2- (6 ^ 2 + 10 ^ 2)) / (- 2 * (6) * (10)))
x = 93.82 degrees
Answer:
The tree is growing in relation to the hill at:
x = 93.82 degrees
Answer:
i = 4.68698 % to five decimal places.
Step-by-step explanation:
Let
i = annual rate of return
t = number of years = 4
using the compound interest formula,
12382500 = 10309500 (1+i)^4
rearrange
(1+i)^4 = 12382500 / 10309500
take log on both sides,
4log(1+i) = log(12382500 / 10309500)
solve for i
log(1+i) = (1/4)log(12382500 / 10309500)
1+i = e^((1/4)log(12382500 / 10309500))
i = e^((1/4)log(12382500 / 10309500)) -1
i = 0.0468698287401117
Answer:
Step-by-step explanation:
how stressed are you? if it goes up that means you are more stressed if it goes down you are less stressed for example mine would be the 3rd answer because my week has been pretty normal. someone who just started school and has a lot of work might be the 1st one. my explanation would be i have gotten somewhat stressed due to school but not too much. elaborate more than me tho lol hope this helps :)
