Answer:
In a proportional relationship, the lines change by applying the proportional factor being used. Slope is the rate of change and it will remain the same.
Answer:
77.74 square feet
Step-by-step explanation:
1. We have to keep the triangle and the rectangle apart and find the area of each separately then add the areas together.
The formula for the area of a rectangle is height x width = area
So, 6.5 feet x 10.4 feet = 67.6 feet squared
The formula for the area of a triangle is height x width x (1/2) = area
So, 5.2 feet x 3.9 feet x (1/2) = 10.14 feet squared
Now, add the two areas together.
10.14 square feet + 67.6 square feet = 77.74 square feet
Answer:
Step-by-step explanation:
tanx=12/18
x=arctan(12/18)
tan(90-x)=12/(a+5)
tan(90-arctan(12/18)=12/(a+5)
a+5=12/tan(90-arctan(12/18))
a=12/tan(90-arctan(12/18))-5
a=3
Height of building =60 feet (where woman is trapped)
distance of bottom of ladder from base of building = 40 feet
This makes a right angled triangle as shown in figure.
here hypotenuse =length of ladder
base = distance of bottom of ladder from base of building = 40 feet
perpendicular =Height of building =60 feet (where woman is trapped)
So here we can use Pythagoras theorem to find the length of ladder.
Hypotenuse² = base² + perpendicular²
height of ladder = √(60² +(40)² = √3600 +1600 = √5200
height of ladder = 72.1 feet
Do you mean: 2/3 of 8? If yes, then we have:
2/3 X 8=16/3=5 1/3