Answer:
9x
Step-by-step explanation:
(x² + 2x) - (x² - 7x) ← distribute parenthesis
= x² + 2x - x² + 7x ← collect like terms
= 9x
The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°
<h3>Calculation of angle</h3>
The distance of the flagpole from the building = 55ft
The building has the height of = 45ft
The flagpole has the height of = 25ft
The angle can be calculated using the formula;
Tan θ = opposite/adjacent
Where opposite= 45ft
adjacent = 55ft
Tan θ = 45/55 = 0.82
θ = Tan–¹0.82
θ = 39°
Learn more about angles here:
brainly.com/question/25716982
#SPJ1
Answer:
A) $1555
Step-by-step explanation:
The formula for percentages is :
To work this out you would first need to find 16 percent of $2100. You can do this by first dividing the percentage by 100, this gives you 0.16. This is because percentages are out of 100.
The next step is to multiply 0.16 by 2100, this gives you 336. This is because by multiplying 16% as a decimal by the amount of 2100 we are working out 16% of 2100.
The next step is add up the value of all of the deductions. You can do this by adding 336 by 89 by 85 and 35, this gives you 545.
The final step is to minus the total deductions of 545 from the total amount of 2100, this gives you $1555.
1) Divide 16 by 100.
2) Multiply 0.16 by 2100.
3) Add 336 and 89 and 85 and 35.
4) Minus 545 from 2100.
The useful property in multiplication is that 1 raised to any number will always be equal to 1. Thus, if y is equal to 1, m and n are also equal to 1. But if y is greater than 1, then m and n would also, consequently, be greater than 1 but less than y. This is because the base number of an exponent must be less in value than the answer. However, if m and n are multiplied, then the product would be greater than 1 but still less than y.
Let's take an example to prove this point.
Suppose y=5, then
m = ⁴√5 = 1.49
n = ∛5 = 1.7
Then, m×n = 2.5 which is less than y but greater than 1
Im not 100% that thats correct but im pretty sure it is.
