Answer:
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9514 1404 393
Answer:
77/85
Step-by-step explanation:
<u>Given</u>:
cos(A) = 4/5
sin(B) = 15/17
<u>Find</u>:
cos(A-B)
<u>Solution</u>:
From your knowledge of Pythagorean triples, you know that one of them is (3, 4, 5) and another is (8, 15, 17). Using your imagination, or by drawing the triangles, you can determine the needed trig functions to be ...
sin(A) = 3/5
cos(B) = 8/17
__
Alternatively, you can use the Pythagorean identity to find ...
sin(A) = √(1 -cos²(A)) = √(1 -(4/5)²) = √(9/25) = 3/5
cos(B) = √(1 -sin²(B)) = √(1 -(15/17)²) = √(64/289) = 8/17
__
Then application of the angle difference formula is straightforward.
cos(A -B) = cos(A)cos(B) +sin(A)sin(B)
cos(A -B) = (4/5)(8/17) +(3/5)(15/17) = (32 +45)/85
cos(A -B) = 77/85
_____
Some graphing calculators can express the result ...
cos(arccos(4/5) -arcsin(15/17)) ≈ 0.90588235294
... as the fraction 77/85
Answer:
954.56 cm²
Step-by-step explanation:
Firstly i would calculate the circumference of the circles on top of the cylinders:
Circumference of circles = or
d = diameter
r = radius
I will use
circumference = 2 x 3.14 x 8 = 50.24 cm
⇒ This would help me to find out the surface area of the side of the cylinder
50.24 x 11 = 552.64 cm²
⇒ This is the surface are of the sides
Now we have to find the are of the two circles on the top and the bottom:
Area of a circle =
d = diameter
3.14 x 8² = 200.96
⇒ There are two circles so you would times 200.96 by 2
200.96 x 2 = 401.92
Add all the values up:
401.92 + 552.64 = 954.56 cm²
I hope this helps!