Answer:
Step-by-step explanation:
The distance between the two poles is 22.248 feet
•This question can be solved by using Pythagoras theorem that is
Slant height ^2 = height^2 + base^ 2
•Here,
height = difference between the heights of two poles
= 17-8
= 9 feet
Slant height = length of wire stretched between the two poles
= 24 feet
•Distance between poles = √(24*24 – 9*9)
= 22.248 feet
Answer:
The rate at which the investment gets double is 7.776
Step-by-step explanation:
Given as :
The principal investment = $ 5051
The time period of investment = 9 years
Let The rate of interest = R % compounded quarterly
The Amount gets double
So, <u>From Compounded method</u>
Amount = Principal ×
Or, 2 × P = P × ( 1 + 
Or, 2 = ( 1 +
Or, 
= 1 + 
or, 1.01944 - 1 =
or, 0.01944 =
∴ R = 0.01944 × 400 = 7.776
Hence The rate at which the investment gets double is 7.776 Answer
Answer:
The answer to your question is x = 6
Step-by-step explanation:
Equation 5x + 3x - 6 = 42
Process
Step 1. Add 6 units in both sides
5x + 3x - 6 + 6 = 42 + 6
Step 2. Simplify
5x + 3x = 48
Step 3. Simplify like terms
8x = 48
Step 4. Divide by 8 both sides
8x/8 = 48/8
Step 5. Simplify
x = 6
Answer:
$129
Step-by-step explanation:
$44-$27=$17 per month
$17 times 3=$51
$78 plus $51= $129 after 6 months
Assuming you want to factor, then you would use the factor by grouping method
x^2+4x + xy+4y
(x^2+4x) + (xy+4y)
x(x+4) + y(x+4)
(x+y)(x+4)
Therefore, x^2+4x + xy+4y factors to (x+y)(x+4)
