Answer:
n = 12.3
Step-by-step explanation:
I'm assuming we're looking for n, to find it, we need to isolate it.
Our equation will be solved through PEMDAS :
Parenthesis
Exponent
Multiply/Divide
Add/Subtract
n / 10^2 = 0.123
Get rid of the exponent by applying it to 10,
10^2 = 100
n/100 = 0.123
Now to get rid of the division, multiply the denominator (100) to both sides.
n/100 * 100 = 0.123 * 100
n = 12.3
Answer:
$8(x + 10)
Step-by-step explanation:
The expression $8x + $80 has two terms. They are $8x and $80.
When you factor an expression, you are looking for numbers that every term in the expression can divide by (and give a whole number).
Just by looking at the terms, you see they both have $ you can factor out. They can both also be divided by 8. This is called taking out a common factor.
$8x + $80 Take out the common factor
= ($8x) / $8 + ($80) / $8
= $8(x + 10) The common factor goes outside the terms' bracket
This expression can't be factored more because there are no common factors. The binomial also doesn't have square numbers for example, which might make a case where you need to factor further with different methods.
By using trigonometric relations, we will see that x = 9.97°.
<h3>
How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700