Answer:

Step-by-step explanation:
The circumference of a circle with radius
is given by
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle
is equal to
.
Formulas at a glance:
- Circumference of a circle with radius
:
- Length of an arc with central angle
: 
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting
into our circumference formula, we get:

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

Answer:
(a) Verified
(b) They are simultaneous equations
Step-by-step explanation:
Given


Required
Verify that:
is a solution
We have:

Substitute:

Evaluate all products

Subtract:

<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
Also: 
Substitute:

Evaluate all products

Subtract:

<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
<em></em>
Because the given point is a solution to both equations, then they are simultaneous equation
Answer:
2
Step-by-step explanation:
4-5= -1
13-18+2= (-5+2)= -3
-1-(-3)=2
Don't forget your order of operations
P (parenthesis)
E (exponents)
MD (multiplication/division)
AS (addition/subtraction)
The pie chart is a percent pie chart.
Silicon is 28% of the earth crust = 28/100 = 7/25.