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 .
14/2 = 7
The answer can be either depending on it you have to reduce
For x = 4, then it means 3 to the fourth power or 3 times 3 times 3 times 3 times 3. 3^4 = 81 and 8 times that is 648.
y(x) = 8 * 3^x where x = 4:
y(x) = 8 * 3^4 = 8 * 81
y(x) = 648
The Function Rule then being that for every value of x there is one and only one value of y. y is the dependent variable and x is the independent variable.
Answer:
No, images are not same as their dimensions are different although two sides in each of the two triangles are equal.
Step-by-step explanation:
Given: images of two isosceles triangles.
To check: if images are the same
Solution:
A triangle is a polygon made up of three sides.
An isosceles triangle is a triangle in which two sides are equal. Also, in an isosceles triangle, angles opposite to equal sides are equal.
The given images of two isosceles triangles A and B are not the same as their dimensions are different although two sides in each of the two triangles are equal.
Answer: A. x= 5"
Step-by-step explanation:
ORIGINAL/NEW = 11"/7" = 8.5"/x
x = 7" x 8.5"/11" = 59.5"/11 = 5.409 ≅ 5.41"
If we wanted to keep most of the engraving, we would adjust the larger dimension, but we have been asked to adjust one dimension to 5", since it is said that C. x = 5.41 is incorrect
Then we will adjust
ORIGINAL/NEW = 11"/y = 8.5"/5"
y= 11" x 5"/8.5" = 6.47"
Then the new dimensions of the paper are 6.47" x 5" to fit an 7" x 5" frame
Answer: A. x= 5"
, and
.
