Answer:
90 in²
Step-by-step explanation:
The figure's area is that of four right triangles, each with legs of 6 in and 7.5 in. The area of each triangle is half the product of the leg lengths, so is ...
triangle area = (1/2)(6 in)(7.5 in)
Then the area of 4 of those triangles is ...
figure area = 4 · triangle area = 2(6 in)(7.5 in) = 90 in²
The sample space is {(1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T)}
On the number cube, she could roll any of the numbers from 1 to 6. On the coin, she could flip heads or tails.
Answer: See below
Explanation:
Find the area of circle:
A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 cm^2
Find the area of rectangle:
A = 3 x 4
A = 12
Find area of shaded region:
A(shaded) = A(circle) - A(rectangle)
A = 78.5 - 12 = 66.5 cm^2
Use the distributive property.
3*2a - 3*b = 6a - 3b.