Answer:
27, 90 and 63
Step-by-step explanation:
Given
Ratio of triangle sides
![Ratio = 3 : 10 : 7](https://tex.z-dn.net/?f=Ratio%20%3D%203%20%3A%2010%20%3A%207)
Required:
The length of each side
Triangles in a triangle add up to 180.
The side with ratio 3 is:
![S_1 = \frac{3}{3 + 10 + 7} *180](https://tex.z-dn.net/?f=S_1%20%3D%20%5Cfrac%7B3%7D%7B3%20%2B%2010%20%2B%207%7D%20%2A180)
![S_1 = \frac{3 *180}{20}](https://tex.z-dn.net/?f=S_1%20%3D%20%5Cfrac%7B3%20%2A180%7D%7B20%7D)
![S_1 = \frac{540}{20}](https://tex.z-dn.net/?f=S_1%20%3D%20%5Cfrac%7B540%7D%7B20%7D)
![S_1 = 27](https://tex.z-dn.net/?f=S_1%20%3D%2027)
The side with ratio 10 is:
![S_2 = \frac{10}{3 + 10 + 7} *180](https://tex.z-dn.net/?f=S_2%20%3D%20%5Cfrac%7B10%7D%7B3%20%2B%2010%20%2B%207%7D%20%2A180)
![S_2 = \frac{10 *180}{20}](https://tex.z-dn.net/?f=S_2%20%3D%20%5Cfrac%7B10%20%2A180%7D%7B20%7D)
![S_2 = \frac{1800}{20}](https://tex.z-dn.net/?f=S_2%20%3D%20%5Cfrac%7B1800%7D%7B20%7D)
![S_2 = 90](https://tex.z-dn.net/?f=S_2%20%3D%2090)
Lastly:
The side with 7 as its ratio
![S_3 = \frac{7}{3 + 10 + 7} *180](https://tex.z-dn.net/?f=S_3%20%3D%20%5Cfrac%7B7%7D%7B3%20%2B%2010%20%2B%207%7D%20%2A180)
![S_3 = \frac{7 *180}{20}](https://tex.z-dn.net/?f=S_3%20%3D%20%5Cfrac%7B7%20%2A180%7D%7B20%7D)
![S_3 = \frac{1260}{20}](https://tex.z-dn.net/?f=S_3%20%3D%20%5Cfrac%7B1260%7D%7B20%7D)
![S_3 = 63](https://tex.z-dn.net/?f=S_3%20%3D%2063)
Hence, the angles are: 27, 90 and 63
Answer:
15 minutes
Step-by-step explanation:
Betty mows at 3 times the speed that Bullwinkle does, so is equivalent to having 3 Bullwinkles in her place. That makes the lawn get mowed as though 4 Bullwinkles were working, so it will take 1/4 the time it takes Bullwinkle to mow the whole yard. 1/4 of 60 minutes is 15 minutes.
Working together, Betty and Bullwinkle will take 15 minutes to mow the lawn.
Answer:
x = 16
Step-by-step explanation:
Since the numbers are in ascending order, x is the number with the highest value here.
From the arrangement, we can see that the median (the middle number) is the third number which is 9
The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median
We have this as;
(1 + 9 + 9 + 10 + x)/5 = 9
29 + x = 5(9)
29 + x = 45
x = 45-29
x = 16
Answer:
Hi
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation: