Answer:
<h2>
67.7</h2><h2 />
Step-by-step explanation:
perimeter = semicircle (x2) + parallelogram side (x2)
= 1/2 π 12 (x2) + 15 (x2)
= 37.7 + 30
= 67.7
Answer:
total area = 615 sq. in.
Step-by-step explanation:
There are 4 triangles that make up the lateral area. The base of each triangle is 60/4 = 15 in. and the height of each triangle is 13 in. So, the area of one triangle = .5bh = .5(15)(13) = 97.5. The lateral area = 4(97.5) = 390. The area of the square base is 15(15) = 225. The total area = 390 + 225 = 615 sq. in.
H = Alice's home runs
p = Peter's home runs
p = 2(h - 6)
p + h = 18
Simplified:
p = 2h - 12
p - 2h = -12
p + h = 18
Solve simultaneously:
p - 2h = -12 ...1
p + h = 18 ...2
1 - 2:
-3h = - 30
h = -30/-3
h = 10
Substitute into 2:
p + h = 18
p + 10 = 18
p = 18 - 10
p = 8
Therefore, Peter hit 8 home runs and Alice hit 10 homeruns.
Answer:
<u>The correct answer is B. -6, -5 2/5, - 4 1/5</u>
Step-by-step explanation:
Let's find the 1st, 4th and 10th terms of this arithmetic sequence, as follows:
A(n)= -6 + (n-1) *(1/5)
A(₁)= -6 + (1 - 1) * (1/5) = -6 + (0) * (1/5) = -6
A(₄)= -6 + (4 - 1) * (1/5) = -6 + (3) * (1/5) = -6 +3/5 = -5 2/5
A(₁₀)= -6 + (10 - 1) * (1/5) = -6 + (9) * (1/5) = -6 + 9/5 = -4 1/5
<u>The correct answer is B. -6, -5 2/5, - 4 1/5</u>
