Answer:
260.55cm
Step-by-step explanation:
[3.14(6^2)]/2+(12x12)+60 use Pythagorean theorem to the shortest leg of the 2 triangles {12^2+b^2=13^2) b=5, 5*12 60/2=30x2 = 60 all of it added up is 202
1) For a quadratic equation, we'll have two answers typically. We're looking for two numbers that when multiplied give -64, and when added give -12. This is a bit of trial and error, but you go about it by systematically factoring -64 in all possible combinations: 64=-2*32=2*-32=-4*16=4*-16=-8*8. Of these, I can 'see' that I can make -12 with 4 and -16. So the factorization of the equation becomes:
(x-16)(x+4)=0, so x=16 or x=-4.
Answers B and D are correct.
For (2), same trick applies. Rewrite as x²-8x-48=0. Factor as (x+4)(x-12)=0 because 4*-12=-48 and 4-12=-8. The other solution is x=12.
Answer:
a) 165.52 degrees.
b) 131.41 degrees.
c) 118.96 degrees.
d) 159.73 degrees.
Step-by-step explanation:
The sine of an obtuse angle is positive as it is in the second quadrant.
a) Using a calculate the angle whose sine ( arcsin) is 0.25 = 14.478 degrees
so the obtuse angle = 180 - 14.478 = 165.52 degrees to nearest hundredth
b) c) and d) are calculated in the same way.
A) domain: [ -5 5 ] range: [ -10 -2 ]
b) y intercept: -2 x intercept: -2 2
c) y= -2
d) x= -2 x= 2
e) None
