13, 69, 89, 25, 55, 20, 99, 75, 42, 18, 66, 88, 89, 79, 75, 65, 25, 99, 66, 78. Order from least to greatest
Lana71 [14]
13, 18, 20, 25, 25, 42, 55, 65, 66, 66, 69, 75, 75, 78, 79, 88, 89, 95, 99
Answer:
1,848
Step-by-step explanation:
![volume = ( \frac{1}{2} \times a \times b) \times h \\ = ( \frac{1}{2} \times 7 \times 24) \times 22 \\ divide \: 2 \: and \: 24 \: by \: 2 \\ = (1 \times 7 \times 12) \times 22 \\ = (84) \times 22 \\ = 1,848 \\ volume \: = 1,848](https://tex.z-dn.net/?f=volume%20%3D%20%28%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20a%20%5Ctimes%20b%29%20%5Ctimes%20h%20%5C%5C%20%20%3D%20%28%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%207%20%5Ctimes%2024%29%20%5Ctimes%2022%20%5C%5C%20%20divide%20%5C%3A%202%20%5C%3A%20and%20%5C%3A%2024%20%5C%3A%20by%20%5C%3A%202%20%5C%5C%20%20%3D%20%281%20%5Ctimes%207%20%5Ctimes%2012%29%20%5Ctimes%2022%20%5C%5C%20%20%3D%20%2884%29%20%5Ctimes%2022%20%5C%5C%20%20%3D%201%2C848%20%5C%5C%20volume%20%5C%3A%20%20%3D%201%2C848)
Answer:
An equation of the circle with centre (-2,1) and radius 3 is ![\mathbf{(x+2)^2+(x-1)^2=9}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%2B2%29%5E2%2B%28x-1%29%5E2%3D9%7D)
Option D is correct.
Step-by-step explanation:
Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3
The equation of circle is of form:
where (h,k) is centre and r is radius.
We have centre C (-2,1) so, we have h = -2 and k = 1
We have radius = 3 so, r = 3
Putting values in the equation and finding the required equation:
![(x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28x-k%29%5E2%3Dr%5E2%5C%5C%28x-%28-2%29%29%5E2%2B%28x-1%29%5E2%3D%283%29%5E2%5C%5C%28x%2B2%29%5E2%2B%28x-1%29%5E2%3D9)
So, an equation of the circle with centre (-2,1) and radius 3 is ![\mathbf{(x+2)^2+(x-1)^2=9}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%2B2%29%5E2%2B%28x-1%29%5E2%3D9%7D)
Option D is correct.
Answer:
Value of x is 20.
Step-by-step explanation:
The angle opposite to 4x is also 4x.
Similarly, the angle opposite to 5x is also 5x.
So, 4x+4x+5x+5x=360
18x=360
x=360/18
x=20
Please give me brainlist.
Answer:
6 dollars per hour
Step-by-step explanation:
We can set up and solve an equation to answer this question. For this problem, let x stand for the amount he earned per hour. The equation that represents this situation is 3.2x + 4.3x = 45. The first term represents monday and the second represents tuesday. When these add up they should equal 45 because that is the total amount he made. To find his pay per hour, solve for x.
First, combine the like terms
Next, divide both sides by 7.5