Answer:
Step-by-step explanation:
Sin 21 = 
Sin 21 = 
0.3583 =
0.3583*15 = BC
BC = 5.3745 = 5.37 m
Tan ∅ = 
Tan ∅ = 
∅ = tan⁻¹ (0.7448) = 36.67 = 36.7
The correct answer is A. Not only does $250 a week equal $1000 a month but the commission is also higher.
first job: $250wk = $1000 Month + .045 commission
= $12000 year + .045 commission
second job = $1800 Month + .03 commission
= $21600 year + .03 commission
commission based on sales of $1,000,000
1,000,000 times .045 = $45000
1,000,000 times .030 = $30000
FIRST JOB: $12,000 + $45,000 = $57,000
SECOND JOB: $21,600 + $30,000 = $51,600
The answer is definitely A.
Answer:
16.2
Step-by-step explanation:
The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.
Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:
BC/FC = DC/AC
BC = FC(DC/AC) = 21.6(7.2/9.6)
BC = 16.2 . . . . matches the first choice
Answer:
Step-by-step explanation:
a) the equation representing the parabola is expressed as
h = -16t² - 4t + 20
c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes
h = -16(25)² - 4(25) + 20
h = - 10000 - 100 + 20
h = - 10080
d) when the coin lands on the ground, the height would be 0. Therefore,
-16t² - 4t + 20 = 0
Dividing both sides of the equation by 4, it becomes
- 4t² - t + 5 = 0
- 4t² - 5t + 4t + 5 = 0
- t(4t + 5) + 1(4t + 5) = 0
- t + 1 = 0 or 4t + 5 = 0
t = 1 or t = - 5/4
Since t cannot be negative, then t = 1 second
Answer is B, because 8*8=64 and 9*9=81. 76 lies between 64 and 81.
