Step-by-step explanation:
180 -angled triangle,
180-56 = 124
124/2 = 62 (each corner of the right triangle)
then find the corner below
the rectangle has right angles on the right side
x = 90-62
= 28
The number of muffin can yield is 18.
Step-by-step explanation:
Given:
The recipe needs 
cup chopped apple.
To find:
Umber of muffins when 1 
cup chopped apple is given.
Solution:
1 ÷ = 1.5
1 cup apple is 1.5 times of cup of apple
So, the number of muffins will be = 12 × 1.5
= 18
Thus 18 muffins can be yielded from a batch that contains 1 1/8 cups of chopped apple
Answer:
There is no common difference
Step-by-step explanation:
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.
Depending on the formula you know, you can find the length of a side in 1 of 2 ways.
The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.
c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31
The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31
We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using
a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48
Now solve for the area
Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72
perimeter = 122.48
area = 1131.72
Answer: w= -4
Step-by-step explanation:
7w-180=52w
Subtract 7w on both sides.
-180=45w
Divide both sides by 45.
-4=w
