Answer:
D
Step-by-step explanation:
First one:
cos(A)=AC/AB=3/4.24
cos(B)=BC/AB=3/4.24
Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1
Second one:
To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).
If that's the case, AE is a transversal of parallel lines AB and DE.
And Angle A is congruent to angle E (alternate interior angles).
Therefore sin(A)=sin(E)=0.5
Step-by-step explanation:
Given that,
a + 2b = 17
Also,
2a + b = 4
By adding the above expressions we get,
a + 2b + 2a + b = 17 + 4
3a + 3b = 21.
3 (a + b) = 21
a + b = 21/3
a + b = 7 Let us take 'b' = 10
a + 10 = 7
a = 7 - 10
a = -3
Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions
a + 2b = 17
-3 + (2 × 10) = 17
-3 + 20 = 17
17 = 17
2a + b = 4
(2 × -3) + 10 = 4
-6 + 10 = 4
4 = 4
Therefore, a = -3 and b = 10 [(-3,10)] is the solution.
Answer:
299.03
Step-by-step explanation:
so you have the amount.
amount: 1200
then you have the ratio
ratio: 3:5
you have the count.
count: 2
and then you have the shares
shares: 8
and the amount per share is 150.00
so the total amount of shares is the sum of each person's ratio so,
so 1:5:2:3:9 = 1 + 5 + 2 + 3 +9 = 20 shares. hope that helps you..
