You need to look for x

your answer would be 10

Answer:

Oh

Step-by-step explanation:

**Answer:**

**a) x = 6**

**b) 0.2 radians.**

**Step-by-step explanation:**

I ran out of time and the system logged me out so I'll start again:

a) Find the lengths of the arcs in terms of x and Ф:

arc SP = radius * Ф = 10Ф

arc TS = 10*3Ф = 30Ф

arc PT = 10Ф+30Ф = 40Ф.

arc QR = (10 + x)Ф

QR/PT = 2/5 so:

2/5 = (10 + x)Ф / 40Ф

Cross multiply:

80Ф = 50Ф + 5xФ

5xФ = 30Ф

**x = 6.**

b)

The area of a sector = radius^2 * angle in radians.

The shaded area = area of arc QOR - area of arc POS:

31.2 = (10 + x)^2 Ф - 10^2 Ф

x = 6 so:

16^2 Ф - 100 Ф = 31.2

** Ф **= 31.2 / 156

= **0.2 radians**.

**Answer:**

**Step-by-step explanation:**

Lets call

equation 1

equation 2

using equation 2, we would make y the subject of the formula as it would be easier

This would now be called our equation 3

Now the next step is to substitute equation 3 in equation 1

Divide both sides by 27

Substitute the value of x in equation 2

I don't know if this is what you mean by your question but can be broken down by place value into 4, 0.20 and 0.03. 2.75 can be broken down into 2, 0.70, and 0.05. Then subtract the same place values from each and you will get 1.48