Answer:
46°
Step-by-step explanation:
When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:
∠A = (arcDC -arcBC)/2
12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers
24° = arcDC -22° . . . . . . . . . multiply by 2
46° = arcDC . . . . . . . . . . . . . add 22°
Answer:
$12500
Step-by-step explanation:
Given that:
Salary plan 1:
Weekly salary of $500.
And a commission of 4%.
Salary plan 2:
Straight commission of 8%.
To find:
Weekly sales for which both the plans will make the same sales?
Solution:
Let the weekly sales = $![x](https://tex.z-dn.net/?f=x)
As per question statement:
Salary as per Plan 1 = $500 + 4% of ![x](https://tex.z-dn.net/?f=x)
Salary as per Plan 2 = 8% of ![x](https://tex.z-dn.net/?f=x)
Putting both the salaries to equal to find the total weekly sales.
$500 + 4% of
= 8% of ![x](https://tex.z-dn.net/?f=x)
![\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500](https://tex.z-dn.net/?f=%5CRightarrow%20500%20%3D%204%5C%25%5C%20of%5C%20x%5C%5C%5CRightarrow%20500%20%3D%20%5Cdfrac%7B4%7D%7B100%7Dx%5C%5C%5CRightarrow%20x%20%3D%20%5C%2412500)
Therefore, the answer is:
For the sales of $12500, the salary will be same from both the plans.
Answer:
The answer is 3418.1 ft rounded to the nearest tenth.
Step-by-step explanation:
The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.
The area of the circular base can be calculated as
![\pi \times {r}^{2}](https://tex.z-dn.net/?f=%5Cpi%20%5Ctimes%20%20%7Br%7D%5E%7B2%7D%20)
where r is the radius of the circular base, which is 8 ft.
The area of the circular base is
![\pi \times {8}^{2} = 64\pi](https://tex.z-dn.net/?f=%5Cpi%20%5Ctimes%20%20%7B8%7D%5E%7B2%7D%20%20%3D%2064%5Cpi)
We also know the height of the cylinder is 17 ft.
Hence, the volume of the cylinder is
![64\pi \times 17 = 1088\pi = 3418.0528...](https://tex.z-dn.net/?f=64%5Cpi%20%5Ctimes%2017%20%3D%201088%5Cpi%20%3D%203418.0528...)
This will be rounded up to 3418.1 with the nearest tenth
Answer:
5
Step-by-step explanation:
First, find the equation of the line:
put it in the form y = mx + b where m is the slope and b is the y-intercept
You already have m = 2, so y = 2x + b.
Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.
3 = 2 * 1 + b
3 = 2 + b
1 = b
This means the equation of the line is y = 2x + 1.
Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:
y = 2 * 2 + 1
y = 4 + 1
y = 5
5 is the answer
Answer:
what kind of practice test?
Step-by-step explanation:
i dont understand but if you need help practicing i will help you.