The answer to this question would be: 300; 20; 150; 10
When you multiply 15 x 32, you can divide both numbers into this:
15= 10 + 5
32= 30 +2
Then the multiplication becomes (10+5) * (30+2) which will result in 4 partial product like this:
10*30= 300
10* 2= 20
5* 30= 150
5* 2= 10
Answer:
A=52.8 miles (approximately)
Step-by-step explanation:
We can assume that this triangle is not a right angle, therefore we cannot use Pythagorean theorem. Let's use the Law of Sines:
![\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%3D%5Cfrac%7Bsin%28B%29%7D%7Bb%7D%3D%5Cfrac%7Bsin%28C%29%7D%7Bc%7D)
Where A is unknown, a=28 miles, b=32 miles, B=87°
Therefore by law of sines we have:
![\frac{sin(A)}{28} =\frac{sin(87)}{32} \\](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7B28%7D%20%3D%5Cfrac%7Bsin%2887%29%7D%7B32%7D%20%5C%5C)
By multiplying 28 to Isolate sin(A) we have:
![sin(A)=\frac{28*sin(87)}{32}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7B28%2Asin%2887%29%7D%7B32%7D)
To cancel out sine on the right, we must multiply both by the inverse sine and so:
![A=sin^{-1}(\frac{28*sin(87)}{32})=52.7658\\ \\A=52.8mi](https://tex.z-dn.net/?f=A%3Dsin%5E%7B-1%7D%28%5Cfrac%7B28%2Asin%2887%29%7D%7B32%7D%29%3D52.7658%5C%5C%20%5C%5CA%3D52.8mi)
Answer:
median of given data is 18
Answer:
y = 4x – 10
Step-by-step explanation:
slope formula: ![m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%7D)
point-slope formula: ![y-y_{1}=m\left(x-x_{1}\right)](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%5Cleft%28x-x_%7B1%7D%5Cright%29)
- Use slope formula and plug in your numbers:
![m = \frac{-18-6}{-2-4 }](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-18-6%7D%7B-2-4%20%7D)
- Solve for slope
![m = 4](https://tex.z-dn.net/?f=m%20%3D%204)
- Use the point-slope formula to solve for the equation:
![y-6=4\left(x-4\right)](https://tex.z-dn.net/?f=y-6%3D4%5Cleft%28x-4%5Cright%29)
- Solve and find equation:
![y=4x-10](https://tex.z-dn.net/?f=y%3D4x-10)
Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!
Hope this helps! Please give Brainliest!
Answer:
216π cubic centimeters
Step-by-step explanation: