1) Area = leg(1) * leg(2) * .5 = 15 * 36 * .5 = 270
Perimeter = leg(1) + leg(2) + hypotenuse = 15 + 36 + 39 = 90
2) Area = leg(1) * leg(2) = 20 * 80 = 1600
3) Median (divides it in 1/2)
4) Both (divides it in 1/2 and makes a 90 degree angle w/ base)
5) Altitude (makes 90 degree angle w/ base)
6)sqrt(30^2 + 16^2) = sqrt( 900 + 256) = sqrt(1156) = 34
7) sqrt(24^2 + 18^2) = sqrt( 576 + 324) = sqrt(900) = 30
8) sqrt(40^2 + 96^2) = sqrt(1600 + 9216) = sqrt(10816) = 104
9) sqrt(150^2 - 90^2) = sqrt(22500 - 8100) = sqrt(14400) = 120
10) sqrt(35^2 - 25^2) = sqrt(1225 - 625) = sqrt(600) = 10sqrt(6), approx. 24.5
The question reminds you of all the tools you need:
It says ...
"Opposite angles are equal."
So the upper right angle is x+40 just like the bottom left,
and the bottom right angle is 3x+20 just like the upper left.
And it says ...
"The sum of all angles is 360°."
You know what each of the four angles is, so you can addum all up,
set the sum equal to 360, find out what number ' x ' is, and then
use that to find the size of every angle.
Answer:
97.5
Step-by-step explanation:
3.5cm cube surface area:
3.5*3.5*6 (the 6 faces of the cube) =
73.5
2cm cube surface area:
2*2*6 =
24
combined surface area:
73.5+24=
97.5
The answer to your problem is that Marisol’s shadow would be 144 feet long
Answer is 4
in the 45 45 90 triangle rule, the longest length is x sq root 2
so since the longest length is 4 sq root 2,
the two others are just 4
