So each time, 24/12 or $2 was deducted per trip
he has 30-24=$6 left
$6/$2=3, he has 3 trips left
I wonder what your question is
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
<h3>Trigonometry identity</h3>
Trigonometry identities are expressed as a function of cosine, sine and tangent.
Given the trigonometry expression shown
4cos2θ+9=−14cosθ
Equate to zero
4cos2θ+9 + 14cosθ = 0
According to trig identity
cos2θ = 2cos²θ - 1
Substitute to have:
4(2cos²θ - 1)+9 + 14cosθ = 0
Expand
8cos²θ - 4 + 9 + 14cosθ = 0
8cos²θ+ 14cosθ + 5 = 0
let P = cosθ to have;
8P² + 14P + 5 = 0
Factorize the result
8P² + 10P + 4P + 5 = 0
2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4
P = -1/2 and -5/4
Recall that P = cosθ
If P = -1/2
cosθ = -1/2
θ = -60
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
Learn more on trigonometry identity here: brainly.com/question/24349828
#SPJ1
Answer:
1,320ft^3
Step-by-step explanation:
V=l*w*h
V=(12)(10)(11)
V=1,320ft^3
Given that-
√(0.09×0.09×x) = 0.09×0.09×√z
On squaring both sides then
⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²
⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²
⇛ (0.09)² × x = (0.09)²×(0.09)²×z
⇛ (0.09)² × x/z = (0.09)²×(0.09)²
⇛x/z = (0.09)²×(0.09)²/(0.09)²
⇛x/z = (0.09)²
⇛x/z = 0.09×0.09
⇛x/z = 0.0081
<u>Answer</u><u>:</u><u>-</u> Hence the value of x/z will be 0.0081 r respectively.