Answer:
Step-by-step explanation:
The shaded area is the difference of the large and small squares.
<u>Area of large square:</u>
<u>Area of small square:</u>
<u>Shaded area:</u>
- A = A(l) - A(s)
- A = (y + 4)² - y² = y² + 8y + 16 - y² = 8y + 16
The first step to solve this problem is to find the area of
the rectangular piece of fabric.
A of triangle = bh/2
A = (14 cm) (6 cm) /2
A = 84 cm^2 / 2
A = 42 cm
And since there are 31 pieces of the fabric, the total area
of all the pieces of fabric is:
31 pieces of fabric x 42 square centimeters per piece =
1,302 square centimeters
To computer how many congruent triangular patches can be
cut, you have to divide the total area of the fabric pieces with the area of
the congruent triangle:
1,302 square centimeters / 21 square centimeters = 62
Therefore, Leia can cut 62 patches.
You’re answer is 62 degrees
Explanation is in the photo
Answer:
2√2
Step-by-step explanation:
compare this equation with the standard equation of a circle centered at (h, k) with radius r:
(x - h)^2 + (y - k)^2 = r^2
(x - 5)^2 + (y + 7)^2=8
Clearly, r^2 = (radius)^2 = 8, and so the radius, r, is √8, or 2√2
