**Answer:**

14

**Step-by-step explanation:**

divide by 10

**Answer:**

f = 14.26 m (2 dp)

**Step-by-step explanation:**

Sum of interior angles of triangle = 180°

⇒ missing angle = 180 - 40 - 90 = 50°

Using sin(A)/a = sin(B)/b = sin(C)/c

⇒ sin(40)/f = sin(50)/17

⇒ 17sin(40) = f sin(50)

⇒ 17sin(40) ÷ sin(50) = f

⇒ f = 14.26 m (2 dp)

**Answer:(_＼ヽ**

** ＼＼ .Λ＿Λ.**

** ＼( ˇωˇ) **

** > ⌒ヽ**

** / へ＼**

** / / ＼＼**

** ﾚ ノ ヽ_つ**

** / /**

** / /|**

** ( (ヽ**

** | |、＼**

** | 丿 ＼ ⌒)**

** | | ) /**

**`ノ ) Lﾉ**

**(_／**

**Step-by-step explanation: Hope I helped!**

Answer:

A) Amanda will pay $47.5

B) 0.5

C) $120

Step-by-step explanation:

A) From the graph given, at 45 miles, the total cost of rentage = $142.50

She now splits this cost with 2 of her friends. Thus each of them will pay;

Amount = 142.5/3 = $47.5

So,Amanda will pay $47.5

B) To find the slope, we will pick two points on the graph and use their respective coordinates to find the slope.

Coordinates we pick are;

(0, 120) and (50, 145)

Thus, slope; m = (y2 - y1)/(x2 - x1)

m = (145 - 120)/(50 - 0)

m = 25/50

m = 0.5

C) The equation for the graph will now be; y = mx + c

Where m is slope and c is y - intercept.

Thus;

y = 0.5x + 120

Coincidentally, c = 120 will be the fixed price of the truck while 0.5x will be the variable cost depending on how many miles are driven.

Thus renting for a day is simply the fixed cost of $120

Since we have the endpoints of a diameter the center is very easy to find. It is the midpoint of the diameter endpoints, which is just the average coordinates...

The center is:

((-7+3)/2, (-10+2)/2)

(-2,-4)

To find the radius we can use the endpoints again to find the diameter squared and then get the radius from that:

d^2=(dy)^2+(dx)^2

d^2=(2--10)^2+(3--7)^2

d^2=12^2+10^2

d^2=144+100

d^2=244

d=√244, since d=2r, r=d/2

r=√(244/4)

r=√61

The equation of a circle is (x-h)^2+(y-k)^2=r^2. We found earlier that the center was at (-2,-4) and we just saw that r^2=61 so:

(x+2)^2+(y+4)^2=61