1 1/10
Step-by-step explanation:
No Caseys answer is not reasonable because the chart says, 6 baseball, 8 football, 6 basketball and 5 soccer. Adding to a total amount of 25 people not 40.
Answer:
$405
Step-by-step explanation:
Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min
4 hrs 25 min = 265 minutes
2 hrs 15 min = 135 min
Donny's share = ![\frac{135}{400} of 1200](https://tex.z-dn.net/?f=%5Cfrac%7B135%7D%7B400%7D%20of%201200)
![=\frac{135}{400}*1200=135*3\\\\= 405](https://tex.z-dn.net/?f=%3D%5Cfrac%7B135%7D%7B400%7D%2A1200%3D135%2A3%5C%5C%5C%5C%3D%20405)
Answer:
Hence the area of each of the triangles are:
49 cm^2 and 16 cm^2.
Step-by-step explanation:
If the two triangles are similar; the perimeters of the two triangles are in the same ratio as the sides.
We are given that the ratio of the perimeters of two similar triangles is 4:7.
Let a and b denotes perimeter of two triangles.
i.e. here a:b=4:7.
Let A and B denote the area of two triangles.
also we know that for two similar triangles;
![\dfrac{A}{B}=\dfrac{a^2}{b^2}](https://tex.z-dn.net/?f=%5Cdfrac%7BA%7D%7BB%7D%3D%5Cdfrac%7Ba%5E2%7D%7Bb%5E2%7D)
Hence,
![\dfrac{A}{B}=\dfrac{4^2}{7^2}----(1)](https://tex.z-dn.net/?f=%5Cdfrac%7BA%7D%7BB%7D%3D%5Cdfrac%7B4%5E2%7D%7B7%5E2%7D----%281%29)
Also the sum of their areas is 65 cm^2.
i.e. ![A+B=65\\\\A=65-B----(2)](https://tex.z-dn.net/?f=A%2BB%3D65%5C%5C%5C%5CA%3D65-B----%282%29)
on putting equation (2) in equation (1) we have:
![\dfrac{(65-B)}{B}=\dfrac{4^2}{7^2}=\dfrac{16}{49}](https://tex.z-dn.net/?f=%5Cdfrac%7B%2865-B%29%7D%7BB%7D%3D%5Cdfrac%7B4%5E2%7D%7B7%5E2%7D%3D%5Cdfrac%7B16%7D%7B49%7D)
49(65-B)=16B
49×65-49B=16B
49×65=49B+16B
49×65=65B
B=49 cm^2
Hence by equation (2) we have:
A=65-B
A=65-49=16 cm^2.
Hence the area of each of the triangles are:
49 cm^2 and 16 cm^2.
Answer:
I believe it is 687.5 miles
Step-by-step explanation: