Answer:
25inch
Step-by-step explanation:
Ok so there is something called a Pythagorean theorem.
It's a²+b²=c²
It works on right triangles
C is the longest side or the side not touching the right angle
and a and b is the other 2 sides
so the missing side is 24²+7²=Missing side or c²
24²=576 and 7²= 49
576+49=625
=25
About 495 CDs in a single day
3467/7=495+ small decimal
Answer:
The wolf lives in a cave = オオカミ は どうくつ に すんで います
The teacher looked at the animals = せんせい は どうぶつ を みました
Step-by-step explanation:
Answer:
I think it's 52.5%
Step-by-step explanation:
42/80
42 ÷ 80 = 0.525
0.525 * 100/100 = 52.5
Answer:
-3
1 + 4 sqrt( 241 )
1 - 4 sqrt( 241 )
Step-by-step explanation:
We need minus lambda on the entries down the diagonal. I'm going to use m instead of the letter for lambda.
[-43-m 0 80]
[40 -3-m 80]
[24 0 45-m]
Now let's find the determinant
(-43-m)[(-3-m)(45-m)-0(80)]
-0[40(45-m)-80(24)]
+80[40(0)-(-3-m)(24)]
Let's simplify:
(-43-m)[(-3-m)(45-m)]
-0
+80[-(-3-m)(24)]
Continuing:
(-43-m)[(-3-m)(45-m)]
+80[-(-3-m)(24)]
I'm going to factor (-3-m) from both terms:
(-3-m)[(-43-m)(45-m)-80(24)]
Multiply the pair of binomials in the brackets and the other pair of numbers;
(-3-m)[-1935-2m+m^2-1920]
Simplify and reorder expression in brackets:
(-3-m)[m^2-2m-3855]
Set equal to 0 to find the eigenvalues
-3-m=0 gives us m=-3 as one eigenvalue
The other is a quadratic and looks scary because of the big numbers.
I guess I will use quadratic formula and a calculator.
(2 +/- sqrt( (-2)^2 - 4(1)(-3855) )/(2×1)
(2 +/- sqrt( 15424 )/(2)
(2 +/- sqrt( 64 )sqrt( 241 )/(2)
(2 +/- 8 sqrt( 241 )/(2)
1 +/- 4 sqrt( 241 )
