Answer:
Option A.
Step-by-step explanation:
It is given secθ = - 
then cosθ = -
Now we know the identity
sinθ = 
= 
= 
Now sin2θ = 2sinθcosθ
Now we put the values of cosine and sine in the formula
sin2θ = 2×(-
)(
)
= -
Therefore, option A. is the answer.
1. find the LCD of 3 and 4 (12). so now your fractions are 5 4/12 and 3 9/12 perimeter is 2l + 2w so 2 (5 4/12) + 2( 3 9/12) = 10 4/12 + 7 6/12 = 17 10/12 or 17 5/6. this is reasonable because that the average perimeter of a sandbox.
2. LCD again is 12, so the fractions are 5 10/12 and 2 1/12. turn those into mixed fractions and get 70/12 and 25/12. 45/12 or 3 3/4. So she babysits 3 3/4 hours during the week.
3. The LCD for this is 8. now the fractions are 2/8 and 1 7/8 or 15/8. add 15/8 and 2/8 to get 17/8 or 2 1/8. He is using a total of 2 1/8 cups of flour.
4. 0.2
5. 0.054
6. 0.024
Answer: 4x^2 + 6xy + 2y^2
Step-by-step explanation:
(2x + y)(2x + 2y) =
2x*2x + 2x*2y + y*2x + y^2y =
4x^2 + 4xy + 2xy + 2y^2 =
4x^2 + 6xy + 2y^2
Answer:
x = 20 and y = 14.14213562 ( you can simplify it)
Step-by-step explanation
x = the opposite side divided by sin 45 ( the angle)
/ sin(45)
20
y = the opposite side divided by the adjacent side
/ tan(45)
14.14213562
14.14
Answer:
33) $8440
34) $67,964.62
Step-by-step explanation:
33) The interest on 1 for 270 days is ...
... I = Prt = 1×0.09×(270/360) = 0.0675
so the proceeds from a loan with a face value of 1 will be
... 1 - 0.0675 = 0.9325
We want to find the face value of a loan with proceeds of $7870.30, so we need to solve the equation ...
... $7870.30 = P×0.9325
... P = $7870.30/0.9325 = $8440
34) The discount is computed from ...
... I = Prt = 70,000×0.063×(24/52) ≈ 2035.38
Then the amount Smith will pay for the T-bill is ...
... $70,000 -2035.38 = $67,964.62