Answer:
28.26m^2 (aka. 28.26 meters squared)
Step-by-step explanation:
The area of a circle is A=pi*r^2 where r is the radius of the circle.
Since r=3, then A=pi*3^2=9pi=28.26
Therefore, the area of the merry-go-round is 28.26 square meters
Answer:
w = 60
Step-by-step explanation:
the midsegment SU is half the measure of side RV , then
SU =
RV , so
w - 30 =
w ( multiply through by 2 to clear the fraction )
2w - 60 = w ( subtract w from both sides )
w - 60 = 0 ( add 60 to both sides )
w = 60
Answer:
Step-by-step explanation:
by inspection
angles 2 and 3 are equal, so they will be half angle ABC
angles 1 and 5 are equal so they will be
angle 1 + angle 5 + angleABC = 180° kind of a rule for triangle
the sum of all angles - 180°
(angle 1) x 2 = 180° - 70°
angle 1 = 90° - 35°
angle 1 = 55° which equals angle 5
angle 4 is clearly a right angle 90°
DO the same procedure for the bottom triangle
angle 8 and 9 are half of angle ADC
angle 8 and 9 are half of 46°
both are 23°
angle 6 equals angle 7
2 ×angle 6 = 180° - 46°
angle 6 = 90° - 23°
angle 6 = 67° angle 7 = 67°
Did I find them all
Answer:
25 pounds of mix A
10 pounds of mix B
Step-by-step explanation:
Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:

Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:

Solving the linear system:

In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B