Answer:
See below
Step-by-step explanation:
I am not sure about number 22. I think that they are asking you to apply the same rules to the point (4, -7), if that is what they mean, the answer is (8,10)
Answer:
12.37 square inches
Step-by-step explanation:
The area of the dartboard can be figured from the diameter as ...
A = (π/4)d² = (π/4)(17.75 in)² ≈ 247.4495 in²
There are 20 sectors, all the same size, so the area of one of them is ...
sector area = (1/2)(247.4495 in²) ≈ 12.37 in²
Rounded to the nearest whole number is still 43
Answer
b. 32 sq. unit
Step-by-step Explanation
The area of the trapezoid is given by
![A = \frac{1}{2} (b_{1} + b_{2}) \times h](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28b_%7B1%7D%20%2B%20b_%7B2%7D%29%20%5Ctimes%20h)
We substitute the given values into the formula to obtain;
![A = \frac{1}{2}(10 + 6) \times 4](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2810%20%2B%206%29%20%5Ctimes%204)
Simplify
![A = \frac{1}{2} (16) \times 4](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2816%29%20%5Ctimes%204)
![A = 16 \times 2](https://tex.z-dn.net/?f=A%20%3D%2016%20%5Ctimes%202)
Hence the area is
Answer:
![m=\frac{g}{4c-3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bg%7D%7B4c-3%7D)
Step-by-step explanation:
we have
![g=4cm-3m](https://tex.z-dn.net/?f=g%3D4cm-3m)
Solve for m
That means-----> isolate the variable m
Factor the variable m in the equation
![g=m[4c-3]](https://tex.z-dn.net/?f=g%3Dm%5B4c-3%5D)
Divide by (4c-3) both sides
![\frac{g}{4c-3}=m](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7B4c-3%7D%3Dm)
Rewrite
![m=\frac{g}{4c-3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bg%7D%7B4c-3%7D)