Answer:
If a polygon has four sides then it is a quadrilateral
Answer:
Step-by-step explanation:
The shaded region is the difference of areas of semicircle AB and triangle ABC.
ABC is right triangle as AB is diameter, so C is right angle.
<u>Area of semicircle:</u>
- A = 1/2πr² = 1/2*3.14*4² = 25.12 cm²
<u>Area of triangle:</u>
- A = 1/2BC*AC = 1/2*4*
= 2
= 13.86 cm²
<u>Shaded are is:</u>
- 25.12 - 13.86 = 11.26 cm²
Answer:
The sine of the acute angle is 
Step-by-step explanation:
using a graphing tool
see the attached figure
Let
A-----> the acute angle formed by the given line and the positive x-axis
In the right triangle XYZ
we know that

we have


Applying the Pythagoras Theorem find the value of xz

substitute

In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.