Answer:10.9
Step-by-step explanation:You add all of the numbers together (76) and then divide by the total of numbers (7). You will get 10.85714286, you have to round to the nearest 10th , so the 5 changes the 8 to a 9.
Answer:
About 42%
Step-by-step explanation:
Given:
The compound inequality is:

To find:
The integer solutions for the given compound inequality.
Solution:
We have,

Case 1: 


...(i)
Case 2: 

...(ii)
Using (i) and (ii), we get

The integer values which satisfy this inequality are only 3 and 4.
Therefore, the integer solutions to the given inequality are 3 and 4.
8 because 6 months times 5 paintings each month is equal to 30. 38-30=8
Answer:
Height of the kite is
meters.
Ground distance from the kite to the person flying the kite is 50 meters.
Step-by-step explanation:
Given that a string of a kite is 100 meters long and it makes an angle of 60° with horizontal.
Which mans we are getting a shape of right angle triangle as shown in picture. Where "y" is the height of the kite and "x" is the ground distance from the kite to the person flying the kite. Now we can use trigonometric ratios to find the values of x and y.
![\sin\left(60^o\right)=\frac{\left[opposite\right]}{\left[hypotenuse\right]}=\frac{y}{100}](https://tex.z-dn.net/?f=%5Csin%5Cleft%2860%5Eo%5Cright%29%3D%5Cfrac%7B%5Cleft%5Bopposite%5Cright%5D%7D%7B%5Cleft%5Bhypotenuse%5Cright%5D%7D%3D%5Cfrac%7By%7D%7B100%7D)




Hence height of the kite is
meters.
similarly:
![\cos\left(60^o\right)=\frac{\left[adjcent\right]}{\left[hypotenuse\right]}=\frac{x}{100}](https://tex.z-dn.net/?f=%5Ccos%5Cleft%2860%5Eo%5Cright%29%3D%5Cfrac%7B%5Cleft%5Badjcent%5Cright%5D%7D%7B%5Cleft%5Bhypotenuse%5Cright%5D%7D%3D%5Cfrac%7Bx%7D%7B100%7D)




Hence ground distance from the kite to the person flying the kite is 50 meters.