Answer:
Actual height of church = 512 feet
Step-by-step explanation:
Given:
Scale model;
1 inch = 256 feet
Height of church (Scale model) = 2 inches
Find:
Actual height of church
Computation:
Actual height of church = Height of church (Scale model) x scale length
Actual height of church = 2 inches x 256 feet/inches
Actual height of church = 2 x 256 feet
Actual height of church = 512 feet
Answer Do it
Step-by-step explanation 165 divided by 100 =x times 43
Answer: x = 7
`Step-by-step explanation:
Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:
9 cm 72 cm
----------- = -----------
3x - 20 56 cm
Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²
Dividing both sides by 72 cm, we get:
3x - 20 = (504 cm²) / (72 cm) = 7
Then 3x - 20 = 7, and 3x = 27. Then x must be 9.
Answer:
x = -12
Step-by-step explanation:
4/3x + 12 = - 4 (multiply 3 both side)
4x + 36 = - 12 (minus 36 both side)
4x + 0 = -12
4x = -12 - 36
4x = - 48 (divide both side)
4x ÷ 4 = x
-48 ÷ 4 = -12
Answer: x = -12
Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)
