Answer:
Step-by-step explanation:
recall law of Sines :) the same as before Sin(A) /a = Sin(B) / b
[ when you see it a lot.. you'll remember it :D ]
for this problem Z =A=123 and a = 30
Y=B and b =14
Sin(123) / 30 = Sin(B) / 14
14 * 0.0279556 = Sin(B)
0.391379 = Sin(B)
arcSin(0.391379 ) = arcSin ( Sin (B) )
23.040 = B
Y = 23.0°
are you seeing how to do these? so you could on a test?
1st step. Calculate the area of the parallelogram
We can use the following formula:
![A=b\cdot h](https://tex.z-dn.net/?f=A%3Db%5Ccdot%20h)
where,
base, b = 9 km
height, h = 5 km
Therefore,
![A=9\cdot5=45](https://tex.z-dn.net/?f=A%3D9%5Ccdot5%3D45)
The area of the parallelogram is 45 km^2
2nd step. Calculate the area of the triangle
Let's use this formula:
![A=\frac{b\cdot h}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bb%5Ccdot%20h%7D%7B2%7D)
where,
base, b = 6 km
height, h = 3 km
Therefore,
![A=\frac{6\cdot3}{2}=9](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B6%5Ccdot3%7D%7B2%7D%3D9)
The area of the triangle is 9 km^2
3rd step. calculates the ratio of the area of the parallelogram to the area of the triangle
![r=\frac{A_P}{A_T}=\frac{45}{9}=5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7BA_P%7D%7BA_T%7D%3D%5Cfrac%7B45%7D%7B9%7D%3D5)
Answer: the area of the parallelogram is 5 times greater than the area of the triangle.
Answer:
1.) - 1/2
2.) the slope is 0 which means it is a vertical line
Step-by-step explanation:
In order to solve this you take the formula
y-y / x-x
and put they y value and x value of each equation in
Step-by-step explanation:
Here, x cancels each others
Answer:
Two sets of vertical angles are formed.