Answer:
3/12: terminating; 2/9: repeating
Step-by-step explanation:
3/12=0.25 terminating as it has a finite number of digits after the decimal point.
2/9=0.222.... repeating decimal as its number is repeated indefinitely.
Answer: Probability of getting red both times is ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
Since we have given that
A spinner is half red and half blue.
Probability of getting red is given by
![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Probability of getting blue is given by
![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Since he spins the spinner twice.
Probability that you will get red both times is given by
![\frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4%7D)
Hence, Probability of getting red both times is ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Let's call L the width of the rectangle and W its width. The area of the rectangle is the product between the length and the width, and we are also told that the area is 300 square meters, so we can write
![A=L\cdot W=300](https://tex.z-dn.net/?f=A%3DL%5Ccdot%20W%3D300)
Moreover, we know that the length is 5 meters longer than the width:
![L=W+5](https://tex.z-dn.net/?f=L%3DW%2B5)
We have a system of 2 equations in 2 unknown variables, L and W. If we substitute the second equation into the first one, we get
![(W+5)\cdot W=300](https://tex.z-dn.net/?f=%28W%2B5%29%5Ccdot%20W%3D300)
![W^2+5W-300=0](https://tex.z-dn.net/?f=W%5E2%2B5W-300%3D0)
which has two solutions: W=-20 and W=15. We can discard the negative solution since it does not have physical meaning, and now we can substitute the value of W into the second equation to find L:
![L=W+5=15+5=20](https://tex.z-dn.net/?f=L%3DW%2B5%3D15%2B5%3D20)
<span>Therefore, the rectangle has width 15 meters and length 20 meters.</span>
Answer:73. 0
Step-by-step explanation:
Radius=8.02
Tita =130
Area of sector = tita/360 x πr^2
130/360 x 22/7 x (8.02) ^2
130/360 x 22/7 x64. 3204
= 72.99
To the nearest tenth = 73.0
The correct answer is D. 14 + (10 – 6) • (8 – 3).
That's because in each of the other answers, we are subtracting a greater and greater number. But in this version, we are first completing the parenthesis, which gives us the following.
14 + (10 – 6) • (8 – 3)
14 + (4) • (5)
Now we complete the multiplication.
14 + 20
And we end with the addition.
34