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:
C) (6,2)
Step-by-step explanation:
Rewrite equations:
y=x−4;x+2y=10
Step: Solve y=x−4for y:
y=x−4
Step: Substitute x − 4 for y in x+2y=10:
x+2y=10
x+2(x−4)=10
3x−8=10(Simplify both sides of the equation)
3x−8+8=10+8(Add 8 to both sides)
3x=18
3x
3
=
18
3
(Divide both sides by 3)
x=6
Step: Substitute6forxiny=x−4:
y=x−4
y=6−4
y=2(Simplify both sides of the equation)
Hope this helps!
:)
First, find the price of the table after the sale, so
600 x .3 = 180
600 - 180 = 420
Next, find the sales tax
420 x .08 = 33.6
420 + 33.6 = 453.6
Finally, add the shipping
453.6 + 7.5 = $461.1
Answer:
Im pretty sure its 5 7/12
Step-by-step explanation:
So x= 3, y= 7
3/7 = 12/21
Which number times 3 is equal 12
3(4) = 12
So 7(4) = 28
X= 12 , y= 28