Answer:
diameter =7 cm
Step-by-step explanation:
circum=2pi×r
2×pi×r=22
2×22÷7×r=22
r=22×7÷44
r=7÷2
r=3.5
d=2×r=2×3.5=7
The sum of angles in a triangle is 180°
So:
(x+7) + (11x-9) +32 = 180
15x +30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10°
Answer: length = 7 feet's
Width = 6 feets
Step-by-step explanation:
Perimeter of a rectangle is the distance round the rectangle.
Perimeter of rectangle is expressed as
2(length + width)
The perimeter of the given rectangle is 26 feet. Therefore
2(L + W) = 26
Dividing by 2,
L+W = 13
The area of a rectangle is expressed as length × width
The given area is 42 square feet. Therefore,
L×W = 42
Substituting L = 13 - W into LW = 42, it becomes
W(13-W) = 42
13W - W^2 = 42
W^2 -13W + 42 = 0
W^2 -7W - 6W + 42 = 0
W(W - 7) - 6(W - 7) = 0
(W-6)(w-7)=0
W-6 = 0 or W-7=0
W=6 or W = 7
L= 13-6 or L= 13-7
L= 7 or L = 6
Answer:
∠ C ≈ 66.8°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanC = 
= 
= 
, then
∠ C = 
( ) ≈ 66.8° ( to the nearest tenth )
Answer:
Step-by-step explanation:
Perimeter of the pendulum = 34 inches
Scale factor = 0.25
x = Length of side of pentagon
The pentagon’s side length before the dilation was .
New perimeter of the pentagon
New perimeter of the pentagon is .
The new side length of the perimeter is .
