So you would form a proportion 12/19824=1/x then you would cross multiply 12x= 19824 next you would isolate the variable by using inverse operations 19824 divided by 12 = 1652 toy castles
Answer:
12.87
Step-by-step explanation:
Since we know that line CD is a perpendicular bisector, triangle ACD is a right triangle, and thus we can apply the Pythagorean theorem to determine the length of side CD. Since the Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse and a and b are the adjacent sides, we can plug in the values of side AD and AC.
As side CD is the bisector of side AB, sides AD and DB are both half the length of side AB, so:
AD = 11/2
AD = 5.5
We now know two values of our equation, and thus we can solve for the missing third value.
5.5^2 + b^2 = 14^2
14^2 - 5.5^2 = b^2
196 - 30.25 = b^2
165.75 = b^2

b = 12.87
<span>(Problem Number Five Answer: Simplify exponent so you get -3)
(Problem Number Seven Answer:
</span>
Step 1: Simplify brackets

Step 2: <span>Gather like terms
</span>

Step 3: Use Product Rule

<span>
</span>

<span>
Step 4: </span>Simplify 2+1 to 3

Step 5: Simplify 3 + 1 to 4

Step 6: <span>Simplify
</span>

<span>
Done! :)
(Problem Number 9 answer: Simplify the exponent so you get -5 )
</span>
Answer:
0.0313
Step-by-step explanation:
Given that in the shipment of 71 vials, only 13 do not have hairline cracks
Probability of not having a hairline cracks = 
If you randomly select 2 vials from the shipment
(Probability of not having a hairline cracks)' =
= 
what is the probability that none of the 2 vials have hairline cracks.
i.e 
= 0.183 × 0.171
= 0.0313
Hence, the probability that none of the 2 vials have hairline cracks = 0.0313
Answer:
+3.8 to each side
Step-by-step explanation: