Answer:
Step-by-step explanation:
A boat captain, lighthouse and its base form a right triangle.
<u>We need to find the angle opposite to 22 ft side:</u>
- tan x = 22/103
- x = arctan (22/103)
- x = 21°
<em>Note, option D should read 21° not 11°</em>
Answer:
Step-by-step explanation:
2x+5=-12
2x=-17
x=-8.5
Answer:
ANSWER = −6x^5 +9x^4 − 9x^3
Step-by-step explanation:
Let's simplify step-by-step.
(−3x^3) (2x^2 + 3) + 9x^4
Distribute:
=(−3x^3) (2x^2) + (−3x^3) (3) + 9x^4
=−6x^5 + − 9x^3 + 9x^4
Answer:
= −6x^5 +9x^4 − 9x^3
Answers:
a = -6/37
b = -1/37
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Explanation:
Let's start things off by computing the derivatives we'll need

Apply substitution to get

I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.
The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero
a-6b = 0
a = 6b
At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)
-6a -b = 1
-6(6b) - b = 1 .... plug in a = 6b
-36b - b = 1
-37b = 1
b = -1/37
Use this to find 'a'
a = 6b
a = 6(-1/37)
a = -6/37
Answer:
The surface area of the cylinder is about 954.56 square inches.
Step-by-step explanation:
The total surface area of a cylinder is given by the formula:

Here, we are given that the radius is 8 inches and that the height is 11 inches. We are also using 3.14 for π. So, substitute:

Use a calculator:

The surface area of the cylinder is about 954.56 square inches.