Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:
where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is
Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:
Using 
, we find that a line perpendicular to the line shown should have a slope of
Answer:
length is 7.5 and width is 4.5
Step-by-step explanation:
Its given that perimeter of the triangle is 24 units.
The condition is that length is 3 units more than the width.
l=w+3;
Formula for perimeter is 2(l+w).
so ,
2(w+w+3)=24,
2w+3=12,
w=4.5,
l=w+3=7.5
Hence for the given conditions length is 7.5 and width is 4.5.
We are given a rain gutter made from folding a 12 inch wide aluminum sheet to an angle theta. The area of the opening is expressed as A(Θ) = 16 sin Θ (cos Θ + 1) where <span>Θ = 45°. we can just substitute directly the angle in degrees mode in the calculator and the answer is equal to 19.32 inches2.</span>
Answer:
96.5606
Step-by-step explanation:
I hope this helps :)
Answer:
x = 1, y = 6
Step-by-step explanation:
y = 6x
2x + 3y = 20
Plug y as 6x in the second equation and solve for x.
2x + 3(6x) = 20
2x + 18x = 20
20x = 20
x = 1
Plug x as 1 in the first equation and solve for y.
y = 6(1)
y = 6
