Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
Let
x---------> <span>the measure of the angle opposite the leg that is 6 inches long
we know that
tan x=opposite side angle x/adjacent side angle x
</span>opposite side angle x------> 6 in
adjacent side angle x-------> 6√3 in
<span>so
tan x=6/(6</span>√3)-----> x=1/√3------> √3/3
<span>x=arc tan(</span>√3/3)------> x=30°
<span>
the answer is
30</span>°<span>
</span>
Answer:
15
Step-by-step explanation:
Answer:
1:50 PM
Step-by-step explanation:
Left school at 10:38 AM,
took them 51 minutes,
38+51=89,
89-60=29,
so when they drove to the museum, it was 11:29 AM.
From here, they stayed at the museum for 1 hour and 26 minutes,
so they stayed at the museum until 12:55 AM since 29+26=55.
Now, it took them 55 minutes to drive back to the school,
so 12:55 plus another 55 minutes,
it's going to be 1:50 PM when Dale's class got back to school.
Answer:
up to $338.18
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r/n)^(n*t), where r is the interest rate as a decimal fraction and n is the number of compounding periods per year.
Here, A = $300(1 + 0.04/12)^(12*3), or
A = $300(1.0033333)^*36, or
A = $300(1.127) = $338.18
Nina will be able to spend up to $338.18 on a new bike.
