I would say 20 because if you add the 10 with 10 the other shaded area so that is why i say 20
Given:
Consider the below figure attached with this question.
To find:
The measure of angle r by using the cosine rule.
Solution:
According to Law of Cosine,
![a^2=b^2+c^2-2bc\cos A](https://tex.z-dn.net/?f=a%5E2%3Db%5E2%2Bc%5E2-2bc%5Ccos%20A)
Using the Law of Cosine, we get
![(7.2)^2=(3.7)^2+(5.2)^2-2(3.7)(5.2)\cos r](https://tex.z-dn.net/?f=%287.2%29%5E2%3D%283.7%29%5E2%2B%285.2%29%5E2-2%283.7%29%285.2%29%5Ccos%20r)
![51.84=13.69+27.04-38.48\cos r](https://tex.z-dn.net/?f=51.84%3D13.69%2B27.04-38.48%5Ccos%20r)
![51.84=40.73-38.48\cos r](https://tex.z-dn.net/?f=51.84%3D40.73-38.48%5Ccos%20r)
![51.84-40.73=-38.48\cos r](https://tex.z-dn.net/?f=51.84-40.73%3D-38.48%5Ccos%20r)
On further simplification, we get
![11.11=-38.48\cos r](https://tex.z-dn.net/?f=11.11%3D-38.48%5Ccos%20r)
![\dfrac{11.11}{-38.48}=\cos r](https://tex.z-dn.net/?f=%5Cdfrac%7B11.11%7D%7B-38.48%7D%3D%5Ccos%20r)
![-0.2887=\cos r](https://tex.z-dn.net/?f=-0.2887%3D%5Ccos%20r)
![\cos^{-1}(-0.2887)=r](https://tex.z-dn.net/?f=%5Ccos%5E%7B-1%7D%28-0.2887%29%3Dr)
![106.780143=r](https://tex.z-dn.net/?f=106.780143%3Dr)
![r\approx 106.78](https://tex.z-dn.net/?f=r%5Capprox%20106.78)
Therefore, the measure of angle r is 106.78 degrees.
Okay, first you need to know the distance...since the x coordinate does not change we can see that the distance between the two points is just y2-y1, in this case:
3--6=9 so the houses are 9 miles apart.
distance=velocity times time...
d=vt so we can say
t=d/v, we found d=9 and we are told that v=12mph so
t=9mi(h/12mi)
t=0.75 hr, but the question want the time in minutes so
0.75hr(60min/hr)=45 min
So it takes Curtis 45 minute to reach his friends house 9 miles away riding at 12 miles per hour.
Answer:
it's A good luck and have a blessed day
Answer:
Area : 27
Perimeter : 24
Step-by-step explanation:
Area : Just count the number of squares in the box
Perimeters : Count the number of squares surrounding the box