Answer:
Part A) ![sin(A)=\frac{2\sqrt{42}}{23}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7B2%5Csqrt%7B42%7D%7D%7B23%7D)
Part B) ![cos(A)=\frac{19}{23}](https://tex.z-dn.net/?f=cos%28A%29%3D%5Cfrac%7B19%7D%7B23%7D)
Part C) ![tan(A)=\frac{2\sqrt{42}}{19}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7B2%5Csqrt%7B42%7D%7D%7B19%7D)
Step-by-step explanation:
Part A) we know that
In the right triangle ABC of the figure the sine of angle A is equal to divide the opposite side angle A by the hypotenuse
so
![sin(A)=\frac{BC}{AB}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7BBC%7D%7BAB%7D)
substitute the values
![sin(A)=\frac{2\sqrt{42}}{23}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7B2%5Csqrt%7B42%7D%7D%7B23%7D)
Part B) we know that
In the right triangle ABC of the figure the cosine of angle A is equal to divide the adjacent side angle A by the hypotenuse
so
![cos(A)=\frac{AC}{AB}](https://tex.z-dn.net/?f=cos%28A%29%3D%5Cfrac%7BAC%7D%7BAB%7D)
substitute the values
![cos(A)=\frac{19}{23}](https://tex.z-dn.net/?f=cos%28A%29%3D%5Cfrac%7B19%7D%7B23%7D)
Part C) we know that
In the right triangle ABC of the figure the tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A
so
![tan(A)=\frac{BC}{AC}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7BBC%7D%7BAC%7D)
substitute the values
![tan(A)=\frac{2\sqrt{42}}{19}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7B2%5Csqrt%7B42%7D%7D%7B19%7D)
Answer:
8. 12 in
9. 30 ft
10. 87.92 in
Step-by-step explanation:
Answer:
c=9
Step-by-step explanation:
Let's solve your equation step by step:
- add 6 on both sides
- divide 1.5 from the product of 6 and 7.5 (aka 13.5)
- you will get C
- put 9 in for C.
<h2>
![1.5c-6=7.5](https://tex.z-dn.net/?f=1.5c-6%3D7.5)
</h2>
1. ![1.5c-6+6=7.5+6](https://tex.z-dn.net/?f=1.5c-6%2B6%3D7.5%2B6)
1.5 ![1.5c=13.5](https://tex.z-dn.net/?f=1.5c%3D13.5)
2.![\frac{1.5c}{1.5c}=\frac{13.5}{1.5c}](https://tex.z-dn.net/?f=%5Cfrac%7B1.5c%7D%7B1.5c%7D%3D%5Cfrac%7B13.5%7D%7B1.5c%7D)
3. C=9
1.5(9)-6=7.5
13.5-6=7.5
Answer:
4
Step-by-step explanation: you have t do y plus 10 and then add 4 minus -2
Answer:
The circumference of circle is: 31.714 cm
Step-by-step explanation:
Let C be the circumference of the circle
And A be the area of circle
It is given that:
![A = 80cm^2](https://tex.z-dn.net/?f=A%20%3D%2080cm%5E2)
We have to find the radius first so that it can be used to find the circumference
The area of circle is given by the formula:
![A = \pi r^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%5E2)
Putting the value of area
![80 = 3.14 * r^2\\\frac{80}{3.14} = r^2\\r^2 = 25.477](https://tex.z-dn.net/?f=80%20%3D%203.14%20%2A%20r%5E2%5C%5C%5Cfrac%7B80%7D%7B3.14%7D%20%3D%20r%5E2%5C%5Cr%5E2%20%3D%2025.477)
Taking square root on both sides
![\sqrt{r^2} = \sqrt{25.477..}\\r = 5.0475\ cm](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%7D%20%3D%20%5Csqrt%7B25.477..%7D%5C%5Cr%20%3D%205.0475%5C%20cm)
Now
![C = 2\pi r](https://tex.z-dn.net/?f=C%20%3D%202%5Cpi%20r)
Putting the value of radius
![C = 2 * 3.14 * 5.05\\C = 31.714\ cm](https://tex.z-dn.net/?f=C%20%3D%202%20%2A%203.14%20%2A%205.05%5C%5CC%20%3D%2031.714%5C%20cm)
Hence,
The circumference of circle is: 31.714 cm