Answer:
98?
Step-by-step explanation:
that your best shot id.....
Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2
<h2>
Answer:</h2>
![\boxed{W=2ft}](https://tex.z-dn.net/?f=%5Cboxed%7BW%3D2ft%7D)
<h2>
Step-by-step explanation:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:
![V=L\times W\times H](https://tex.z-dn.net/?f=V%3DL%5Ctimes%20W%5Ctimes%20H)
From the statement of the problem we know:
![V=24ft^3 \\ \\ H=3ft \\ \\ W=W \\ \\ L=W+2](https://tex.z-dn.net/?f=V%3D24ft%5E3%20%5C%5C%20%5C%5C%20H%3D3ft%20%5C%5C%20%5C%5C%20W%3DW%20%5C%5C%20%5C%5C%20L%3DW%2B2)
So:
![24=(W+2)(W)(3) \\ \\ 3W(W+2)=24 \\ \\ 3W^2+6W-24=0 \\ \\ From \ the \ Quadratic \ Formula: \\ \\ W_{12}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ W_{12}=\frac{-6 \pm \sqrt{6^2-4(3)(-24)}}{2(3)} \\ \\ W_{1}=2 \\ \\ W_{2}=-4](https://tex.z-dn.net/?f=24%3D%28W%2B2%29%28W%29%283%29%20%5C%5C%20%5C%5C%203W%28W%2B2%29%3D24%20%5C%5C%20%5C%5C%203W%5E2%2B6W-24%3D0%20%5C%5C%20%5C%5C%20From%20%5C%20the%20%5C%20Quadratic%20%5C%20Formula%3A%20%5C%5C%20%5C%5C%20W_%7B12%7D%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20%5C%5C%20W_%7B12%7D%3D%5Cfrac%7B-6%20%5Cpm%20%5Csqrt%7B6%5E2-4%283%29%28-24%29%7D%7D%7B2%283%29%7D%20%5C%5C%20%5C%5C%20W_%7B1%7D%3D2%20%5C%5C%20%5C%5C%20W_%7B2%7D%3D-4)
Since we can't have negative distance, the only valid option is ![\boxed{W=2ft}](https://tex.z-dn.net/?f=%5Cboxed%7BW%3D2ft%7D)
This is a proportion so
6/15=2/c
make the left side top number equal to the right side top number and you will find c
6/15=2/c
6/3=2
6/15 times (1/3)/(1/3)=2/5
2/5=2/c
c=5
the other way is multiply both sides by c/2
6c/30=1
multiply both sides by 30
6c=30
divide both sides by 6
c=5
Answer:
P(2): 1/5
P(4): 1/5
P(odd number): 3/5
P(whole number): 5/5
P(6): 0/5
P(2 or 3): 2/5
Step-by-step explanation:
There are 5 <em>equal </em>sections in this circle. So, the probability to land in each section is 1/5.
The odd numbers are 1, 3, and 5. Since each section is 1/5, you add
1/5 + 1/5 + 1/5 = 3/5. That is the probability that you will land in any odd number.
Because all the numbers listed are whole numbers, no matter where the spinner lands it will be a whole number. So, the probability is 5/5 for whole numbers.
Since 6 is not a section, it's probability will be 0/5 (or you can just put 0).
"Or" means you add the two probabilities. Add the probability of landing on 3 (which is 1/5) to the probability of landing on 2 (which is also 1/5). So, you get 2/5.