12a+b=4962
20a+b=4754
8a=-208
a=-26
-312+b=4962
b=4962+312
b=5274
y=-26x+5274
x=0 -- y=5274
<span>y=0 -- 26x=5274, x=80.85 (approx.)</span>
(0,8) infinitely many solutions
Answer:
This is an acute triangle
Step-by-step explanation:
Pythagoras theorem is used to determine if a triangle is right, acute or obtuse
If the sum of squares of two shorter lengths is greater than the square of third side then the triangle is an acute triangle.
If the sum of squares of two shorter lengths is less than the square of third side then the triangle is an obtuse triangle.
If the sum of squares of two shorter lengths is equal the square of third side then the triangle is a right triangle.
so,

As 1600<1945, the given triangle is an acute triangle ..
X = 0
<span>6y - 5x = 0 so it intersects x=0 at (0,0)
</span>
<span>x + 3y = 21
</span>so it intersect x=0 at (0,7)
multiply by 2
<span>2x + 6y = 42
subtracting 6y - 5x = 0
7x = 42
x = 6
so the third line intersects w second line at (6,5)
6. area of triangle = 1/2*base*height
= 1/2*7*6
=21
7. volume = volume of 2 cones
cone volume = 1/3*pi*radius^2*height
lower cone: radius=6, height=5
upper cone: radius=6, height=7-5=2
volume = 1/3*pi*6^2*(5+2)
=84pi
=263.89
</span>