Answer:
Angle C = 45 degrees.
Angle D = 30 degrees.
Step-by-step explanation:
Angle C = 45 + 90 = 135 180 - 135 = 45.
Angle D = 180 - 45 = 135 (angle F) 15 + 135 = 150 180 - 150 = 30
Answer:
circle area = 1963.495 ft²
Step-by-step explanation:
<u>Given</u>
A rectangle 550 ft by 350 ft packed with circles on a rectangular grid
<u>Find</u>
the area of the largest circle that can be packed this way
<u>Solution</u>
The diameter of the circle must be a factor of both 350 and 550. We want the diameter to be the largest such factor. We can write the factors of 350 and 550 as ...
- 350 = 50 × 7
- 550 = 50 × 11
The largest factor common to both numbers is 50, so that will be the diameter of the largest circle that will fit on a square grid.
The area of a circle is commonly given by the formula ...
A = πr² . . . . . where r represents the radius of the circle.
The radius is half the diameter, so will be (50 ft)/2 = 25 ft. And the area of the circle is ...
A = π(25 ft)² = 625π ft² ≈ 1963.495 ft²
The area of one circle is about 1963.495 square feet.
_____
The total number of circles is 11×7 = 77. Their total area is 77×1963.495 ft² ≈ 151,189 ft². This is 151,189/192,400 ≈ 78.54% of the total area of the rectangle.
Answer:
Jenny Question Answer: 4 over 50
Jake Question Answer: 20 beads are red
Step-by-step explanation:
Jenny: She pulled a purple tile 4 times when there is 50 tiles in the bag
Jake: 6 of the 15 beads are red. 6/15 = 2/5 = 40% are red. Take the percent times the total number of beads. 40 * 50 = 20.
20 of the beads are red
I hope I helped, please correct me if I'm wrong!
