Answer:
120.
Step-by-step explanation:
Using the Pythagoras theorem:
(30√2)^2 = x^2 + x^2 where x =length of each side of the square
1800 = 2x^2
x^2 = 900
x = 30.
So the perimeter = 4*30 = 120.
Ok... to find the total surface area we have to realize a couple of things. First it's a triangular prism so we are dealing with 5 sides. Also the triangular sides are going to be congruent so all the side Lengths will also be congruent. The rectangular sides of the prism will have congruence as well. Lastly we have to know that to find the total surface area, you have to find the area of each side and add them together....
First the triangles. The area formula for a triangle is a = 1/2 base × height.
Since they are right triangles, the base and height are the legs of the right angle, so...
a = 1/2 (8 × 15)
a = 4 × 15 = 60 in^2
Don't forget we have 2 of them so surface area of both is 120 in^2.
Now the rectangles...
a = base × height
1) a= 13 × 8 = 104 in^2
2) a = 15 × 13 = 195 in^2
3) a = 13 × 17 = 221 in ^2
Now add them all up...
104 + 195 + 221 + 120 =
640 in^2 total surface area
Answer:
<em>The helicopter is 27.38 m far off the ground</em>
Step-by-step explanation:
The drawing shown in the image below has all the measures and variables needed to solve the problem.
We need to find R, the height of the helicopter. We'll use the law of sines to find the length of side a.
The angle X is the measure needed to complete 180°:
X = 180° - 54° - 62° = 64°
Solving for a:
Calculating:
a = 31.11 m
Now using the sine ratio in the right triangle to the left side:
Solving for R:
R=31.11*0.88
R = 27.38 m
The helicopter is 27.38 m far off the ground
Answer:
there is not enough information to solve
Step-by-step explanation:
You need two ordered pairs to calculate the average rate of change.
Let's say the value of the function at n = 1 is a, and the value of the function at n = 3 is b, then the average rate of change from n = 1 to n = 3 is
(b - a)/(3 - 1) = (b - a)/2
