Answer:
height=100feet
Step-by-step explanation:
perimeter of a rectangle=p=500 feet
p=2a+2b equation 1
a=height
b=base
we have: b/a=3/2
so a=(2*b)/3
in equation 1 we have:
500=2*((2*b)/3)+2*b
so we have
500=(4*b)/3 + 2*b
500=(4b+6b)/3
500=(10b)/3
500*3=10b
b=(500*3)/10
b=150 feet =base
so
a=(2*150)/3=100 feet = height
Answer:
(-4,0)
Step-by-step explanation:
When it's a reflection, you basically make the number opposite.
Hope this helped!
Answer:
look at the picture above
Step-by-step explanation:
it has the answer and solution
pls give branliest if you want
Answer:
This is the answer in dollar
35x+9<=310
Answer/Step-by-step explanation:
3.a. length of AC.
Hypotenuse = AC
Opposite side to 60° = 7
Therefore, ![sin(60) = \frac{7}{AC}](https://tex.z-dn.net/?f=%20sin%2860%29%20%3D%20%5Cfrac%7B7%7D%7BAC%7D%20)
![AC*sin(60) = \frac{7}{AC}*AC](https://tex.z-dn.net/?f=%20AC%2Asin%2860%29%20%3D%20%5Cfrac%7B7%7D%7BAC%7D%2AAC%20)
![AC*sin(60) = 7](https://tex.z-dn.net/?f=%20AC%2Asin%2860%29%20%3D%207%20)
![AC = \frac{7}{sin(60)}](https://tex.z-dn.net/?f=%20AC%20%3D%20%5Cfrac%7B7%7D%7Bsin%2860%29%7D%20)
(to nearest tenth)
b. Length of BC
Hypotenuse = BC
Opposite side to 50° = 7
Therefore, ![sin(50) = \frac{7}{BC}](https://tex.z-dn.net/?f=%20sin%2850%29%20%3D%20%5Cfrac%7B7%7D%7BBC%7D%20)
![BC*sin(50) = \frac{7}{BC}*AC](https://tex.z-dn.net/?f=%20BC%2Asin%2850%29%20%3D%20%5Cfrac%7B7%7D%7BBC%7D%2AAC%20)
![BC*sin(50) = 7](https://tex.z-dn.net/?f=%20BC%2Asin%2850%29%20%3D%207%20)
![BC = \frac{7}{sin(50)}](https://tex.z-dn.net/?f=%20BC%20%3D%20%5Cfrac%7B7%7D%7Bsin%2850%29%7D%20)
(to nearest tenth)
c. Length of AB
Use the law of sines to find AB
![\frac{BC}{sin(A)} = \frac{AB}{sin(C}}](https://tex.z-dn.net/?f=%20%5Cfrac%7BBC%7D%7Bsin%28A%29%7D%20%3D%20%5Cfrac%7BAB%7D%7Bsin%28C%7D%7D%20)
m<C = 180 - (60 + 50) (sum of angles in a triangle) = 70°
m<A = 60°
BC = 9.1
AB = ?
![\frac{9.1}{sin(60)} = \frac{AB}{sin(70)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9.1%7D%7Bsin%2860%29%7D%20%3D%20%5Cfrac%7BAB%7D%7Bsin%2870%29%7D%20)
Cross multiply
![9.1*sin(70) = AB*sin(60)](https://tex.z-dn.net/?f=%209.1%2Asin%2870%29%20%3D%20AB%2Asin%2860%29%20)
Divide both sides by sin(60)
![\frac{9.1*sin(70)}{sin(60)} = \frac{AB*sin(60)}{sin(60)}](https://tex.z-dn.net/?f=%5Cfrac%7B9.1%2Asin%2870%29%7D%7Bsin%2860%29%7D%20%3D%20%5Cfrac%7BAB%2Asin%2860%29%7D%7Bsin%2860%29%7D)
![\frac{9.1*sin(70)}{sin(60)} = AB](https://tex.z-dn.net/?f=%5Cfrac%7B9.1%2Asin%2870%29%7D%7Bsin%2860%29%7D%20%3D%20AB)
(nearest tenth)