Answer:
a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6
Step-by-step explanation:
a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.
tan58=84/x
find x by dividing 84 by tan58, and you get 52.5ft.
b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.
multiply 131 by tan17, and you get x=40.1 feet.
c) This question wants you to find the length of the slide, (basically the hypotenuse).
given the angle to be 46, do sin46=9/x
since sin is opp/hyp
9/sin46= 12.5ft
d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.
tan^-1=(16/5)=theta
x=72.6 hope this helps!
1) y= -4x+c
2) y= 3x+c replace x and y to find c , 5=3(2)+c
C= -1
Y=3x-1
3) find slope first m=y2-y1/x2-x1 = 0-(-1)/-2-1 = 1/-3 and now you have y= -1/3x+c to find c just replace any of the given points , 0= -1/3(-2)+c
C= -2/3 and so y= -1/3x-2/3
4) DO THE SAME STEP AS NUMBER 3 and enjoy!
Answer:
30
Step-by-step explanation:
total area of triangle is 180
so if 97+53= 150 180-150= 30
hope this helped
plz mark brainlest
i wanna rank up!!!
Answer:
7y + 5z + 10
Step-by-step explanation:
2y + 7z - 2z + 4y + 8 + y + 2
Like terms are terms that have the same variable part.
2y, 4y, y are like terms (remember that y is the same as 1y when you add)
7z, -2z are like terms
8, 2 are like terms
2y + 7z - 2z + 4y + 8 + y + 2 =
= 2y + 4y + y + 7z - 2z + 8 + 2
= 7y + 5z + 10
Answer:
<h2>(-3) + 4x + 2 + 2x + 2x = 8x - 1</h2>
Step-by-step explanation:
(-3) + 4x + 2 + 2x + 2x <em>combine like terms</em>
= (4x + 2x + 2x) + (-3 + 2)
= 8x - 1