Perimeter of a rectangle can be represented by 2* length + 2 * width
We can represent the width with the variable x
We can represent the length by the expression 3x-1
So, now we can make a forumla and solve
2(3x-1) + 2(x) = 30
6x-2+2x = 30
8x = 32
x = 4 is the width of the rectange.
Now we find the length
3(4)-1
11 = Length
Answer:
22.2 ft²
Step-by-step explanation:
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 7.13² × 
=
≈ 22.2 ft² ( nearest tenth )
It's the graphs that don't touch the x-axis have complex roots. Roots are the points where the parabola touches the x-axis. A,C and E all cross/touch the x-axis so they have real roots.
non-real or complex root parabolas are: B, D, F
Hi there!
First, we need to make the denominators of the fractions the same. This can be done by multiplying 1/2 by 3/3 and 2/3 by 2/2. This gives us the fraction 3/6 and 4/6. We can subtract 4/6 from 3/6 to get -1/6, which will need to be taken out of the fraction later. Lastly, we will subtract 8-5 to get 3, of which we also need to subtract 1/6 from that. Therefore, Keith has 2 5/6 cups of flour left.
Hope this helps!! :)
Answer:
D
Step-by-step explanation:
First find the probability using the normal distirbution formula X - mean / standard deviation for both X = 350 and X =450 to get the values -1 and 1 so thi(-1) < P(Z) < thi(1) if you are familiar with normal distirbution table values you will calculate that the overall probability is 0.6827
knowing this we can roughly expect how much emergencies are in the response times by 0.6827 x 144 = 98