Answer:
Angle A: 90
Angle B: 48
Angle C: 42
Side length A (Hypotinuse): 23.9
SIde length B (Opposite): 17.8
Side length C (Adjacent): 16
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html?vc=42&vx=&vy=&va=90&vz=16&vb=&angleunits=d&x=0&y=0
Cramer's rule works as follows:
x+3y=16
3x+y=8
Then
x=Dx/D
y=Dy/D
where Dx,Dy,D are 2x2 matrices formed from of coefficients and right hand side.
D=
1 3
3 1
=1-9=-8
Dx=matrix D with first column replaced by the vector [16,8]=
16,3
8 1
=16-24
=-8
Dy=matrix D with second column replaced by the vector [16,8]=
1 16
3 8
=8-48
=-40
Therefore
x=-8/-8=1
y=--40/-8=5
Check:
x+3y=1+3(5)=16
3x+y=3(1)+5=8 ok.
Answer:A
Step-by-step explanation:
When graphed it is the only one to semi-complete the pattern
For the problem on the left, the best way to solve is by splitting the shape into two. The smaller square at the top, and the larger rectangle at the bottom. To find the area of the top of the square you multiply base times height. In this case, you do 36*36, to get 1296. For the larger rectangle, you also do base times height, and calculate 60*36, to get 2160. The final step is to add 2160 to 1296. After adding, you should get the sum of 3456. Add the unit, and since we’re finding area, add squares. The answer is 3456 yards squared.
For the second problem, we can notice that the shape is a trapezoid. The way we find the area of a trapezoid is by taking the average of the bottom length and the top length, and multiply it by the height. The first step is to do 16+8 to get 24. Next, you need to divide 24 by 2 since you’re finding the average of the two numbers. Finally, to finish multiply the height by 12. In this case you do 16*12, to get 192 feet squared.
Answer to A: 3456 Yards Squared
Answer to B: 192 Feet Squared
Answer:
(x-1) (x-4) is the answer
