Answer: 65 - $39 = $26 >> amount you save
26 / 65 = 0.4 = 40% >> discount rate
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Let's define 3 areas:
- S = area of semicircle with radius 6 in (diameter AB)
- T = area of quarter circle with radius 6√2 in (radius AC)
- U = area of triangle ABC (side lengths 6√2)
The white space between the "moon" and the triangle has area ...
white = T - U
Then the area of the "moon" shape is ...
moon = S -white = S -(T -U) = S -T +U
The area we're asked to find is ...
moon - triangle = (S -T +U) -U = S -T
__
The formula for the area of a circle of radius r is ...
A = πr²
So, ...
S = (1/2)π(6 in)² = 18π in²
and
T = (1/4)π(6√2 in)² = 18π in²
The difference in areas is S -T = (18π in²) -(18π in²) = 0.
There is no difference between the areas of the "moon" and the triangle.
Given:
In an isosceles triangle,
One base angle = (4x-15)°
Vertex angle = 95°
To find:
The value of x.
Solution:
Let the triangle be ABC.
We have,


Since ABC is an isosceles triangle and AB=AC, therefore, the base angles are equal.

Using angle sum property of triangles, we get




On further simplification, we get




Therefore, the value of x is 14.375.
Answer:

Step-by-step explanation:
Use Distance Formula

Substitute

Simplify

Simplify

Add

-3/6-5/7
-21/42 -30/42=-51/42 or 1 9/42 or 1 3/14