Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
In this problem we have an isosceles right triangle (because has two equal sides)
so
Applying the Pythagorean theorem
substitute the given values
The very last one is the answer!!
two angles are coterminal, namely land on the same spot on the circle.
let's check.
let's firstly divide 1965° by 360°, since 360° is a full circle, that way we know <u>how many full circles are</u> in 1965°.
1965 ÷ 360, gives us a quotient of 5 with some remainder.
5 * 360 = 1800, 5 full circles
if we subtract the full circles from 1965
1965 - 1800 = 165
low and behold, the remainder from that division is 165° ✔
in other words, 1965°, goes around the circle 5 times and then lands 165° after all that, in the same spot as 165°.
Answer:
34 Cubes
Step-by-step explanation:
<u>Step 1: </u>Find the Volume of the Rectangular Prism
The dimensions of the rectangular prism are: 225 inches by 315 inches by 2 inches.
Volume of the Rectangular Prism = 225*315*2=141750 Cubic Inches
<u>Step 2:</u> Find the Volume of the Cube
Edge length of the cube, s=15 Inch
Volume of a Cube =
Volume==3375 Cubic Inches
<u>Step 3: </u>Determine how many cubes fit in the prism
To find out how many cubes fit in the rectangular prism, divide the volume of the rectangular prism by the volume of the cube.
Number of Cubes =Volume of the Rectangular Prism ÷ Volume of Cube
=141750 ÷ 3375
=34
34 Cubes will fit in the rectangular prism.