Answer:
85.1 ft
Step-by-step explanation:
The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
We solve using the Trigonometric function of Cosine
cos y = adjacent/hypotenuse
y = angle = 20°
Adjacent = 80 ft
Hypotenuse = ?
cos 20 = 80/Hypotenuse
Hypotenuse = 80/cos 20
x = 85.134221798 ft
Approximately = 85.1 ft
Length of the slide = 85.1 ft
Answer:
Step-by-step explanation:
3(x-2)= -3
Divide both sides by 3
x-2 = -1
add 2 to both sides
x - 2 +2 = -1 + 2
x = 1
Area of the triangle = (1/2)*base*height
For right triangle base and height can be legs.
We have one leg = 5 ft. (Lets think it is a base.)
We need to find the other leg.
We are going to use Pythagorean theorem.
5² + b²=13²
b²=144
b=12 (It is going to be our height.)
Area of the triangle = (1/2)*5*12= 30 ft²
Area of the triangle = 30 ft²
Answer:
a) = Slope of line AB = 1/2
<h2><em><u>
Perpendicular = -2</u></em></h2>
<h2>b) <em><u>
y = -2x + 6</u></em></h2><h2 />
Step-by-step explanation:
a) When it is perpendicular the answer will be positive if the initial value is negative. If it is a whole number, then the perpendicular number is going to be a fraction. The opposite applies.
b) Slope = -2x
intercept = ?
y = -2x + b
0 = -6 + b
+6 +6
b = 6
<em><u>y = -2x + 6</u></em>