3 possible solutions.
The reason is because of the degree, which is 3
First, we'll find the slope of the new line. The first line has a slope of 
. Take the negative reciprocal of this (Flip the numerator and denominator, then multiply by 
) to get 
for the new slope.
Then, we'll use the point-slope form to make the new equation, where 
is the slope and 
is a point on the line:
Answer:
Step-by-step explanation:
Firstly,
We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:
There are 8 hours between 9am and 5pm
∴ It is 48:1
That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other
So if it is 48:1 then x:8 with be = 48x8
∴ Sarah and Jean will be able to sell 384 cupcakes
I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector
I’ll take you through it step-by-step
Area of the arc:
We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared
68.9/360 x pi x 86.1184= 51.78 (2dp)
Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC
You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)
Now since you want the area of the segment shaded, just find the difference between these two values.
51.78-40.17 = 11.61
Answer= 11.6cm squared
Hope this helped!
