Answer:
Part 1: Angle = 36°
Part 2: Angle = 72°
Step-by-step explanation:
If we have an angle "x", then
Its complement is 90 - x, and
supplement is 180 - x
Let's write equations and solve.
<u>Part 1:</u>
Complement = 1.5 times angle
90 - x = 1.5x
90 = 1.5x + x
90 = 2.5 x
x = 90/2.5 = 36
<u>Part 2:</u>
Now using 2nd equation:
3 * angle = 2 * Supplement
3x = 2 (180 - x)
3x = 360 - 2x
3x + 2x = 360
5x = 360
x = 360/5 = 72
To order these from the least to greatest you need to convert them all to one common unit of measurement. In this case I chose feet.
385 km= 1, 263, 123 ft
2, 521, 728 in= 210, 144 ft
161, 920 yards= 485, 760 ft
And of course 446, 831 feet equals itself. Now all you have to do is put them in the correct order!
Hope this helped :)
Answer:

Step-by-step explanation:
Answer:
50 feet long
Step-by-step explanation:
Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.
a²+b²=c²
Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.
We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)
14²+48²=c²
Simplify
196+2304=2500
Find square root of 2500
√(2500)=50
So 14²+48²=50²
The missing side is 50 feet long. The fence is 50 feet long.
Attached is another example.
So we just need to plug in our values and solve

we are given v is 369 so we have

now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides

so a temp of about 67 degrees C