Answer: 2
Step-by-step explanation:
By the law of sines,
Since either of these values for B will form a triangle (as A+B will be less than 180 degrees), 2 triangles can be formed with these measurements.
49w² -112w + 64
first, you have to find 2 numbers that add up to equal -112, but also multiply together to get a product of 3136 (49 * 64)
two numbers that add to -112 and multiply to equal 3136 is -56 and -56
we can add them into the equation by putting them in for -112x
49w²-56w-56w+64
we now look at what the first 2 numbers have in common and what the last two numbers have in common
49w² and -56w both have w and 7 in common so we can divide 7w
7w(7w -8)
-56w and 64 both have -8 in common so we can divide by -8
-8(7w-8)
now we take the 2 numbers on the outside and bring down the numbers in the brackets
(7w-8)(7w-8)
(7w-8)²
Answer:
(x+4)(x+2)
Step-by-step explanation:
Distributive property of 2 binomials:
First, outer, inner, last
(a+b)(c+d) = ac+ad+bc +bd
Factor x^2 into x*x
Factor 8 into 2*2*2
Find what two numbers add up to 6 and multiply to get 8
1 and 8 do not work because they add up to 9. 2 and 4 work because they add up to 6.
Check: (x+4)(x+2)
First: x*x = x^2
Outer: 2*x
Inner: 4*x
Last: 2*4 = 8
Add together: x^2+2x+4x+8 = x^2+6x+8
Vco = 1/3×πr2h
Vcy = Vco --> πr^2×h = 1/3πR^2×h
h's cancel, as well as π's
r^2 = 1/3R^2 --> R^2 = 3r^2 -->
SR (R^2) = SR (3r^2)
R = SR(3)×r
