Answer:
Step-by-step explanation:
The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.
The area of the right triangle can be calculated as:
Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:
The diameter of the circle can be calculated using the Pythagorean theorem as:
So, the radius is 
Finally, the area of the semicircle is:
So, the area of the shaded region is:
Answer:
A
Step-by-step explanation:
An outlier is a data point that seems like it shouldn't belong; it could be extremely small or extremely big or simply not even a part of the correlation.
Looking at the scatter plot, it's quite clear that there is one point far from the others. This will be the outlier.
Observe its coordinates; they are about (8.8, 5.2).
So, the answer is A.
Hope this helps!
Answer:
84cm^2
Step-by-step explanation:
The pyramid's SA is the square at the bottom plus the triangles on the side.
The square is 6x6=36.
Per triangle, it's BxH/2. B=6. H=4. Therefore, per triangle has a SA of 12 cm^2.
There are 4 triangles. 48 cm^2 in total for the triangles
36cm^2+48cm^2=84cm^2
Let 
and 
be these consecutive integers. For some base 
, we can write
If
then
Now,
Squaring both sides gives
and so
(because the base has to be non-zero)
Answer:17
Step-by-step explanation: Multiply Steve’s hourly wage ($7.40) by the hours he worked in a week (16 Hours) that would give you your weekly earnings which would be (7.40x16=$118.40) Then subtract what he saved in the bank from your total (118.40-105=$13.40) then you would divide $13.40 (his leftover money) by $0.75 to find the total number of carnival rides he could ride (13.40/0.75=17.86 rides and because he cannot ride 17 and 86 hundredths of a ride he would be able to ride 17 carnival rides.
