It would be D because the formula is: pi r^2
It isn't because, it isn't consistent, and it doesn't follow any of the other answer choices. :)
Answer:
x=5
Step-by-step explanation:
Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.
Since the two legs have equal length, they are both x. Using the pythagorean theorem:
(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).
You can add (x^2) and (x^2) because they are the same terms (x squared).
Simplifying like so gives you:
2x^2=50
Dividing by two on both sides:
x^2=25
Taking the square root of both sides:
x=5
B involves direct variation.
y and x are directly proportional.
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:
![\frac{3}{8}-\frac{3}{16}\Rightarrow \frac{6}{16}-\frac{3}{16}=\frac{3}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D-%5Cfrac%7B3%7D%7B16%7D%5CRightarrow%20%5Cfrac%7B6%7D%7B16%7D-%5Cfrac%7B3%7D%7B16%7D%3D%5Cfrac%7B3%7D%7B16%7D)
Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.
![1](https://tex.z-dn.net/?f=1%3C%5Cfrac%7B3%7D%7B16%7D%2B%28n-1%29%5Ccdot%20%5Cfrac%7B3%7D%7B16%7D)
Let us solve for n.
![1](https://tex.z-dn.net/?f=1%3C%5Cfrac%7B3%7D%7B16%7D%2B%5Cfrac%7B3%7D%7B16%7Dn-%5Cfrac%7B3%7D%7B16%7D)
![1](https://tex.z-dn.net/?f=1%3C%5Cfrac%7B3%7D%7B16%7Dn)
![1\cdot \frac{16}{3}](https://tex.z-dn.net/?f=1%5Ccdot%20%5Cfrac%7B16%7D%7B3%7D%3C%5Cfrac%7B16%7D%7B3%7D%5Ccdot%20%5Cfrac%7B3%7D%7B16%7Dn)
![5.333](https://tex.z-dn.net/?f=5.333%3Cn)
![n>5.333](https://tex.z-dn.net/?f=n%3E5.333)
We can also write next terms of our sequence as:
![\frac{3}{16},\frac{6}{16}, \frac{9}{16},\frac{12}{16},\frac{15}{16},\frac{18}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B16%7D%2C%5Cfrac%7B6%7D%7B16%7D%2C%20%5Cfrac%7B9%7D%7B16%7D%2C%5Cfrac%7B12%7D%7B16%7D%2C%5Cfrac%7B15%7D%7B16%7D%2C%5Cfrac%7B18%7D%7B16%7D)
Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.