Question 1
cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17
Answer: Choice C) 15/17
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Question 2
sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25
So angle E is the answer
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Question 3
AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse
cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7
Answer: 11.7
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Question 4
x = length of board
cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5
Answer: 10.5
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Question 5
112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg
tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6
Answer: 210.6
Answer:
x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)
Step-by-step explanation:
![\frac{x+1}{x-2}>0\\ \\x+1>0=>x>-1\\\\x-2>0=>x>2](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B1%7D%7Bx-2%7D%3E0%5C%5C%20%5C%5Cx%2B1%3E0%3D%3Ex%3E-1%5C%5C%5C%5Cx-2%3E0%3D%3Ex%3E2)
x ∈ (+ 2 ; +oo)
![x+1x](https://tex.z-dn.net/?f=x%2B1%3C0%3D%3Ex%3C-1%5C%5C%5C%5Cx-2%3C0%3D%3Ex%3C2)
x ∈ (-oo ; - 1)
x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)
Answer:
When solving a multi step equation, you use PEMDAS (parentheses, exponents, multiplication, division, add, subtract), and you also use PEMDAS when solving a multi step inequality. However, inequalities are tricky in the fact that if you multiply or divide by a negative number, you must flip the sign. And while normally there are 1 or 2 solutions to a multi step equation, in the form of x= #, you'll have the same thing, but with an inequality sign (or signs).
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
hope it helped
Step-by-step explanation:
are you talking about like 24/7 ? or you mean like divide 24÷7 ?