Answer:
Composite Area = 1105.94
Step-by-step explanation:
Remark
The two semi circles at each end make an entire circle with radius 11. The width of the central rectangle = the diameter of the circle. The area should be able to be found.
Width
2*radius = width
width = 2 * 11
width = 22
Area of the circle
Area = pi * r^2
r = 11
Area = 3.14 * 11^2
Area = 3.14 * 121
Area = 379.94
Area of the rectangle
Area = L * W
L = 33
W = 22
Area = 33 * 22
Area = 726
Total Area
Total Area = Area of Rectangle + Area of the Circle
Total Area = 726 + 379.94 = 1105.94
Answer:
1) x=8, y=138
2) x=110
Step-by-step explanation:
Answer:
none of the given options is true
Step-by-step explanation:
Given: u=(-8,8) , v= (-1,2)
To find: vectors
such that 
Solution:
A vector is a quantity that has both magnitude and direction.

Let 
So,

So, u = 
So, none of the given options is true
Y *x =20
y +x =9
rewrite 1st eq. as y = 20/x
subsituute that into 2nd eq.
20/x +x =9
multiply each term by X
20 +x^2 = 9x
subtract 9x from each side:
x^2 - 9x +20 = 0
now factor:
(x-5) (x-4) = 0
solve for x
5-5 = 0
4-4 = 0
so X can be 4 or 5
replace x into equations and solve for Y
so when X = 4, Y = 5
When X = 5, Y = 4
x= 5,4
y = 4,5
Since the radicands (the number under the radical) are the same, add the coefficients and keep the radicand.
4√5 + 2√5 = 6√5
LETTER C