Answer:
4.33
Step-by-step explanation:
1. Pythagoras Theorem

2. Find b

=
=
= -4
but sqrt(-4) is not possible
b ≅ 4
OR (Require trig knowledge)
1. Sine Rule

2. Plug in numbers

b ≅ 4.33
Answer:
A
Step-by-step explanation:
2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .
There are 2 orange marbles, 3 green marbles, & 5 purple marbles
two consecutives draws <em>without</em> replacement
Orange first, green second
Orange/total = 2/10, or 1/5
green/total - 1 = 3/9, or 1/3
1/5(1/3) = 1/15
There is a 1/15 chance of <em>Orange first, green second</em>
Both marbles are purple
Purple/total = 5/10, or 1/2
Purple/total = 4/9, or <em>44% chance of both being purple</em>
first is purple, the next is anything but purple
purple/total = 1/2, or 50% chance
(everything - purple)/total = 5/10, or 50% chance
1/2(1/2) = 1/4, or 25% chance of <em>first purple, then anything but purple</em>
hope this helps
Answer:
21 matches
Step-by-step explanation:
This is a combination problem where we have to select two member out of 7 members
So we want calculation of 7C2
7C2 = 7!/[(2!)(7-2)!]
(7*6*5*4*3*2*1)/[(2*1) *(5*4*3*2*1]
(7*6)/2 ~ Note everything that easily cancels here!
42/2
21 matches