Answer:
The answer to your question is x = 37.74
Step-by-step explanation:
Data
Right triangle
hypotenuse = c = 45
angle = 33°
adjacent side = x
Process
To solve this problem use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.
cos Ф = Adjacent side / Hypotenuse
-Solve for Adjacent side
Adjacent side = hypotenuse x cosФ
-Substitution
Adjacent side = 45 x cos 33
-Simplification
Adjacent side = 45 x 0.839
-Result
Adjacent side = x = 37.74
Answer:
Step-by-step explanation:
<em>Note all arguments of trigonometric functions are in degrees.</em>
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Since tan(35)=4/(longer dotted leg of the triangle), the length of this longer dotted leg is thus 4/tan(35).
Since A=bh, the area is (4/tan35)(12), and you can just plug this into a calculator.
Answer: 
Step-by-step explanation:
Given
The yellow line leaves the station every 6 min
The red line leaves the station every 8 min
They both leave at 
Both trains meet again after, LCM(6,8)=24 min
i.e. at
Bruce's dumbbells weigh 11 pounds each
Bruce has 14 dumbbells
we know that to calculate the total weigh of all the dumbbells we have to multiply weigh of each dumbbell with the total no of dumbbells
this is because by multiplying the no of dumbbells with weight of each one we get the altogether weight
so we will multiply weight of each dumbbell by total no. of dumbbells
by multiplying we get 14*11=156
therefore the altogether weight of dumbbells is 156 pounds.
