Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225
Here, 30/360 * 2πr = 10
1/12 * 2 * 3.14 * r = 10
r = 10*12 / 6.28
r = 19.11
Now, Area = 1/12 * 3.14 * (19.11)²
= 3.14/12 * 365.16
= 95.5 Ft²
In short, Your Answer would be Option C
Hope this helps!
The value of <em>p </em>is 21
Step-by-step explanation:
ΔABC ~ ΔFGH
![\frac{ab}{fg} = \frac{bc}{gh} \\ \frac{35}{p} = \frac{10}{6} \\ p = \frac{35 \times 6}{10} \\ p = \frac{210}{10} \\ p = 21 \\ \\ or \\ \\ \frac{ab}{fg} = \frac{ac}{fh} \\ \frac{35}{p} = \frac{30}{18} \\ p = \frac{35 \times 18}{30} \\ p = \frac{630}{30} \\ p = 21](https://tex.z-dn.net/?f=%20%5Cfrac%7Bab%7D%7Bfg%7D%20%20%3D%20%20%5Cfrac%7Bbc%7D%7Bgh%7D%20%20%5C%5C%20%20%5Cfrac%7B35%7D%7Bp%7D%20%20%3D%20%20%5Cfrac%7B10%7D%7B6%7D%20%20%5C%5C%20p%20%3D%20%20%5Cfrac%7B35%20%5Ctimes%206%7D%7B10%7D%20%20%5C%5C%20p%20%3D%20%20%5Cfrac%7B210%7D%7B10%7D%20%20%5C%5C%20p%20%3D%2021%20%5C%5C%20%20%5C%5C%20or%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bab%7D%7Bfg%7D%20%20%3D%20%20%5Cfrac%7Bac%7D%7Bfh%7D%20%20%5C%5C%20%20%5Cfrac%7B35%7D%7Bp%7D%20%20%3D%20%20%5Cfrac%7B30%7D%7B18%7D%20%20%5C%5C%20p%20%3D%20%20%5Cfrac%7B35%20%5Ctimes%2018%7D%7B30%7D%20%20%5C%5C%20p%20%3D%20%20%5Cfrac%7B630%7D%7B30%7D%20%20%5C%5C%20p%20%3D%2021)
So, the value of <em>p</em> is 21
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
Answer:
16=24
Step-by-step explanation:
The first step to write any number in exponential form is to do the prime factorization of the given number. As we can see that 2 is multiplied 4 times so by using exponent we can write 16 as 24
Answer:
AAAAAA YES AAAAAA YES AAAAAA YES
Step-by-step explanation:
YES YES YES YES YES YES