Step-by-step explanation:
Before we answer, the area of a Circle given it radius is

The area of a circle given it diameter is

So let answers question 1-4.
1. The area is

2. The area is

3.

4.

For the 5th problem, circumference is

where d is the diameter and

where r is the radius.
A circumference of 100 m means the radius is 50 because


So this means the area is

5^2(2-sqrt3) is the answer here is the link to how to do it https://socratic.org/questions/suppose-an-isosceles-triangle-abc-has-a-30-and-b-c-5-what-is-the-leng...
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Answer:
Step-by-step explanation:
4
Answer:
x= -1
Step-by-step explanation:
p= x² +4x -2 -----(1)
q= 2x -1 ------(2)
q -p= 2 -----(3)
Substitute (1) and (2) into (3):
2x -1 -(x² +4x -2)= 2
2x -1 -x² -4x +2= 2 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>
-x² -2x +1=2 <em>(</em><em>S</em><em>implify</em><em>)</em>
x² +2x +2 -1= 0 <em>(</em><em>Bring</em><em> </em><em>all</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>
x² +2x +1= 0
(x +1)²= 0 <em>(</em><em>Factorise</em><em>)</em>
x +1= 0 <em>(</em><em>Square</em><em> </em><em>root</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x= -1 <em>(</em><em>-1</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>