Step-by-step explanation:
First, we should define supplementary angles.
Supplementary angles are angles that add up to 180 degrees.
Since 1 and 2 are supplementary and we know their values, we just set them equal to 180 degrees
(
4
y
+
7
)
+
(
9
y
+
4
)
=
180
Now just solve for one variable
13
y
+
11
=
180
13
y
=
169
y
=
13
Now the question asks for m<2, which is
9
y
+
4
So we just plug in
9
⋅
13
+
4
=
121
So m<2 is 121
Answer:
The derivative of the position function gives the velocity function
2 t^3 + 5 t -2 derivative = 6 t^2 + 5
Answer: The percentage increase in perimeter is 7%.
Step-by-step explanation:
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
The original length of the rectangle is 20 and the original width is 30. The original perimeter of the rectangle would be
Perimeter = 2(20 + 30) = 100
The length of the rectangle is increased by 10 percent. It means that the new length would be
20 + (0.1 × 20) = 22
The width of the rectangle is increased by 5 percent. It means that the new width would be
30 + (0.05 × 30) = 31.5
The new perimeter of the rectangle would be
Perimeter = 2(22 + 31.5) = 107
The increase in perimeter is
107 - 100 = 7
The percentage increase in perimeter is
7/100 × 100 = 7%
Answer:
x=1.85531914
Step-by-step explanation:
C
1yd^2 = 9ft^2
_____yd^2 = 2700ft^2
2700 / 9 = 300 yd^2
