Answer:
5
Step-by-step explanation:
If the parallelogram is being rotated the side length will stay the same as it is in the current state.
Diagram attached
Answer:
5.5+106 square inches
Step-by-step explanation:
The wooden frame has different shapes- semi circle, rectangles and we would have to calculate area of all the shapes to get the wood required.
To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =
π(6²-5²)/2= 11π/2
=5.5π square inches
We add area of the semi circle to area of the 3 rectangles from the diagram:
2×1×48×10×1=106 square inches
The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area
Total area =5.5π +106 square inches
Options must have ommitted the "π"
Cot (theta) - csc (theta) = cos(theta) divided by sin(theta) - 1 divided by sin(theta) = cos(theta) - 1 divided by sin(theta) = the square root of 1-sin^2 (theta) -1 divided by sin(theta)
Answer:
X=-14.5 Y=3.2
Step-by-step explanation:
5x-13=5y+7x
subtract 7x from both sides
-2x-13=5y
subtract 5y from both sides
-2x-5y-13=0
add 13 to both sides
-2x-5y=13
<u>SYSTEMS OF EQUATIONS NOW</u>
4x+15y=-10
-2x-5y=13
multiply the second equation by 3
4x+15y=-10
-6x-15y=39
add the equations together to get:
-2x=29
divide both by -2
x=-14.5
Substitute x into one equation
4(-14.5)+15y=-10
-58+15y=-10
add 58 to both sides
15y=48
divide both sides by 15
y=3.2
<em>CHECK YOUR WORK</em>
4(-14.5)+15(3.2)=-10
-58+48=-10
-10=-10
