Answer:
FG = 20 in
Step-by-step explanation:
∵ ABCD ≈ EFGH
∴ AD/EH = BC/FG
∵ AD = 45 in
∵ EH = 60 in
∴ BC = 15 in
∴ 45/60 = 15/FG
∴ FG = (60 × 15) ÷ 45 = 20 in
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Answer:
30/11
Step-by-step explanation:
Let's say x = 2.7272727272... If we multiply both sides by 100, we get:
100x = 272.7272727272...
We now have the equations:
100x = 272.7272727272...
x = 2.7272727272...
Let's subtract the second from the first. Doing so results in 99x on the left. On the right, the entire repeating part (72727272...) cancels out and we're just left with 272 - 2 = 270:
99x = 270
Divide by 99 on both sides:
x = 270 / 99
Simplify:
x = 30 / 11
The answer is 30/11.
3/28 of animals are birds
of the birds: 4/15 are birds of prey
If you want to know what fraction of the animals at the zoo are birds of prey, you can calculate this using the following steps:
4/15 * 3/28 = 12 / (15*28) = 1 / (5*7) = 1 / 35
Result: In the town zoo, 1/35 of animals are birds of prey.
