Answer:
135 degrees
Step-by-step explanation:
360 (full angle) - 90 (one of the square's angles) = 270
270/2= 135
Answer:
<em>The area of the shaded part = 61.46</em>
<em />
Step-by-step explanation:
Assume the hypotenuse of the triangle is c (c>0)
As the triangle inscribed in the semi circle is the right angle triangle, its hypotenuse is equal to the diameter of the circle.
The hypotenuse of the triangle can be calculated by Pythagoras theorem as following: 
=> c = 10
So that the semi circle has the diameter = 10 => its radius = 5
- The total area of 2 semi circles is equal to the area of the circle with radius =5
=> The total area of 2 semi circles is:
x
= 25
- The area of a triangle inscribed in the semi circle is: 1/2 x a x b = 1/2 x
x
= 20
=> The area of 2 triangles inscribed in 2 semi circles is: 2 x 20 = 40
- The area of the square is:
= 
It can be seen that:
<em>The area of the shaded part = The area of the square - The total area of 2 semi circles + The total are of 2 triangles inscribed in semi circles </em>
<em>= 100 - 25</em>
<em> + 40 = 61.46</em>
Answer:
9
Step-by-step explanation:
Put x as 1/2 and evaluate.
3^(2(½) + 1)
3^(1+1)
3²
= 9
1,000?
700 goes into 700,000, 1,000 times
Option C
3x + 7 > 4x is the inequality for sum of three times a number and seven is greater than four times the number
<em><u>Solution:</u></em>
Given that the statement is:
The sum of three times a number and seven is greater than four times the number
We have to find the inequality that represents the above statement
Let the number be "x"
Therefore,
sum of three times "x" and seven is greater than four times "x"
Here "times" represents product or multiplication
Thus we get,
three times "x" + 7 > 4 times "x"

Thus the inequality is found. Option C is correct