We know that angle2+angle3+90=180 (since we see the right angle in the corner and all internal angles add up to 180) so
angle3=40
subsitute
angle2+40+90=180
angle2+130=180
subtract 130
angle2=50
answer is 50 degrees
I’m assuming you meant -2x^2 so It would be shifted to the left 3 it would be compressed from having 2 to 1.
Short answer: B
Remark
A 45 degree angle means that the height is the same length as part of the base. But which part?
Givens
b1 = 9 feet
b2 = 23 feet
and the 45 degree angle on the right.
Determine the height.
The part of the base that is associated with the 45 degree angle is found by subtracting b1 from b2
b2 - b1 = 23 - 9 = 14
So 14 is also the height
Find the Area
A = 1/2 (b1 + b2)*h
b1 = 9
b2 = 23
h = 14
Area = 1/2(9 + 23) * 14
Area = 1/2 (32) * 14
Area = 16 * 14
Area = 224 <<<< answer
Option b. 0.496
- Step-by-step explanation:
we know that
f(x)=0.01(2^{x})
The average rate of change is equal to
\frac{f(b)-f(a)}{b-a}
where
a=3
b=8
f(a)=f(3)=0.01(2^{3})=0.08
f(b)=f(8)=0.01(2^{8})=2.56
Substitute
\frac{2.56-0.08}{8-3}
\frac{2.48}{5}
0.496
