Answer:
169.1 unit^2 to the nearest tenth.
Step-by-step explanation:
Area of the parallelogram = base * height
= 24 * 6 unit^2.
Area of the semicircle = 1/2 pi r^2.
Here r = 1/2 * 8 = 4.
So the area is 1/2 * pi * 4^2
= 8pi unit^2.
The area of the whole figure = 24*6 + 8pi
= 169.13 unit^2.
All three sides of the triangle are the same so youcan set two of the equations equal to each other and solve for x:
4x-10 = 3x +2
Add 10 to each side:
4x = 3x + 12
Subtract 3x from each side:
x = 12
Answer:
{y,x} = {0,1}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 3x - 3
// Plug this in for variable y in equation [2]
[2] -3•(3x-3) - 9x = -9
[2] - 18x = -18
// Solve equation [2] for the variable x
[2] 18x = 18
[2] x = 1
// By now we know this much :
y = 3x-3
x = 1
// Use the x value to solve for y
y = 3(1)-3 = 0
Answer:
= 8
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
Here a = 8 and r =
= 2.5, thus
= 8