Answer:
4 units
Step-by-step explanation:
The volume of a square pyramid is (a²)*h/3
256=a²*12/3
256=a²*4
256/4=a²
64=a²
a=8
Now we know that the square is 8 by 8.
The volume of a square prism is a²h
256=64h
256/64=h
h=4
Also, a square pyramid is 1/3 the volume of a square prism.
12÷3=4
Answer:
x = ± 13
Step-by-step explanation:
Given
x² = 169 ( take the square root of both sides )
x = ± = ± 13
Since 13 × 13 = 169 and - 13× - 13 = 169
Answer:
On a unit circle, the point that corresponds to an angle of is at position .
The point that corresponds to an angle of is at position .
Step-by-step explanation:
On a cartesian plane, a unit circle is
- a circle of radius ,
- centered at the origin .
The circle crosses the x- and y-axis at four points:
Join a point on the circle with the origin using a segment. The "angle" here likely refers to the counter-clockwise angle between the positive x-axis and that segment.
When the angle is equal to , the segment overlaps with the positive x-axis. The point is on both the circle and the positive x-axis. Its coordinates would be .
To locate the point with a angle, rotate the segment counter-clockwise by . The segment would land on the positive y-axis. In other words, the -point would be at the intersection of the positive y-axis and the circle. Its coordinates would be .
60*(1-x)=36
60-60x=36
-60x=36-60
-60x=-24
x=24/60
x=4/10
x=2/5
x=0.4
36 is 40% less than 60
Equals to -17
add the two negatives together