The clouds are 226.68 meters above the spotlight.
Step-by-step explanation:
Step 1:
The angle measuring device is 65 meters from the spotlight and the angle of elevation from the ground to the spot of light is 74°.
So a right-angled triangle can be formed using these measurements. The angle of the triangle is 74° while the opposite side of the triangle measures x meters while the adjacent side of the triangle measures 65 meters.
We need to calculate the opposites side's length of the triangle.
Step 2:
Since we have the adjacent side's length and need to calculate the opposite side's length we use the tan of the given angle.
The opposite side of the triangle = x meters.
So the spot of light is 226.07 meters above from the spotlight.
Answer:
12.85 m
Step-by-step explanation:
First, you have to find the arc length of the sector. To do that, use the formula for arc length.
Since the figure is a semicircle, we know the central angle is 180, so plug that in for x. We also know the diameter, which is 5. So plug that in for d. Once you get the arc length, add 5 to it. 5 is the diameter and is part of the perimeter
Answer:
5p
Step-by-step explanation:
Since Robby ate 5 potato chips and Jimmy ate p times that then you have to multiply them together.
Our final expression is 5p.
Hope this helped :)
Hey!
Finding the factorial for the first few numbers, we have:
1!=1
2!=2
3!=6
4!=24
5!=120
6!=720
7!=720*7
8!=720*56
What we can see as a clear pattern from 5! and on is that our number ends with a 0, making the units digit 0. Therefore, when we add the units digit of 5! and on, we have a result of 0. So, we can simply add the units digits of 1!, 2!, 3!, and 4!, which is 1+2+6+4=13. Since the units digit is the last number, we can drop the tens place to get an answer of 3.
Feel free to ask further questions!
