How you write 8.216 in scientific notation; 8.216 * 10 ^ 3
10 ^ 3 = 10 to the 3rd power.
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
The perimeter of square RSTV is: 17.88 units
Further explanation:
As the given figure is a square, all of its sides will be equal. So we have to find one side to find the perimeter.
Given
R(-1,5), S(-3,1), T(-7,3), and V(-5,7)
The distance formula will be used to find the side

Let x be one side of square

Let P be the perimeter of square
P= 4x
P=4*4.47
=17.88 units
The perimeter of square RSTV is: 17.88 units
Keywords: Perimeter, Distance Formula
Learn more about perimeter at:
#LearnwithBrainly
Answer:
D. 10 square root 3 is your answer
Step-by-step explanation:
Here is what you do.
<em>square root 30 = 3 x 2 x 5 </em>
<em>square root 10 = 2 x 5</em>
Add them together.
<em>3 x 2 x 2 x 5 x 5 </em>
<em>3 x 4 x 25.</em>
4 and 25 can come out of the square root.
<em>2 x 5 = 10</em>
10 square root 3 is your answer.
Answer:
It would be D, because you have 12 students who have tickets worth n amount, and all of them get a discount of $5.00 off. You would there have 12 times the number of tickets (n) minus $5.00 off from your discount
Step-by-step explanation: