Answer:
The length of the ladder is 9.2m
Step-by-step explanation:
The y-intercept is (0,7) and the x-intercept is (-2,0).
In the figure, the triangle ABC is a right triangle, a is the adjacent leg to the angle B, and b is the opposite side to the same angle.
So, you can use the tangent ratio which relates the angle, the opposite leg and the adjacent leg:
tangent (angle B) = b / a => b = a * tan(B)
=> b = 12 * tan(48°) = 13.33≈ 13
Answer: 13
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
Answer:
(5y+3) x (y-2)
Step-by-step explanation:
5y^2-7y-6
5y^2+3y-10y-6
y(5y+3(-2(5y+3)
(5y+3) x (y-2)
