Answer:
69.75 square inches
Step-by-step explanation:
Add the top and bottom lengths then divide by 2 before multiplying it with the height
1/2x(3+12.5)=7.75
7.75x9=69.75
(1-cos^2(x)) csc^2(x)=1
one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)
we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:
sin^2(x) x 1/sin^2(x) = 1
sin^2(x)/sin^2(x) =1
the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same
so then 1=1 Therefore LHS=RHS
Hope this helps
Answer:
x = 6
y = 0
Explanation:
−2x+y=−12;3y−2x=−12
Rewrite equations:
−2x+y=−12;−2x+3y=−12
Solve −2x+y=−12 for y
−2x+y=−12
−2x+y+2x=−12+2x(Add 2x to both sides)
y=2x−12
Substitute 2x−12 for y in −2x+3y=−12
−2x+3y=−12
−2x+3(2x−12)=−12
4x−36=−12 (Simplify both sides of the equation)
4x−36+36=−12+36 (Add 36 to both sides)
4x=24
Divide both sides by 4
4x / 4 = 24 / 4
x = 6
Substitute 6 for x in y=2x−12
y=2x−12
y=(2)(6)−12
y=0 (Simplify both sides of the equation)
Answer:
Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.
Step-by-step explanation:
