Actually, the answer is not A, if you're saying A is the first choice above. That's incorrect. You will need to use the Geometric mean for right triangles here to figure out what the value of a is. We will use this form:

. We have a value for YZ of 3; side a is XZ. That means in order to solve this we need WZ, which we can find using pythagorean's theorem. 3^2 + 4^2 = c^2 and 9 + 16 = c^2 and c = 5. Now we fill in accordingly:

. Cross-multiply to get 3XZ=25 and side XZ is

. XZ is 25/3 and YZ is 3, so 25/3 - 3 = XY. That means that XY (side a) = 16/3 or 5 1/3, choice B, or the second one down.
374.072
Step-by-step explanation:
Use a calculator
Answer:
1) Yes, 1/2 and 2
2) b=1/2 × t
t=2 × b
Step-by-step explanation:
1) Yes, because <em>every</em> package of a toy equals 2 batteries. The constant of proportionality is 1/2 and 2 because 1 ÷ 2 = 1/2 and 2 ÷ 1 = 2 (amount of toys divided by amount of batteries and vice versa)
2) b = 1/2t, because for every battery, there is 1/2 a toy.
t = 2b, because for every toy, there are 2 batteries
<em>note: you can't actually have 1/2 a toy, </em><em>but</em><em> </em><em>we</em><em> </em><em>write</em><em> </em><em>it</em><em> </em><em>like</em><em> </em><em>that</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>sake</em><em> </em><em>of</em><em> </em><em>showing</em><em> </em><em>the</em><em> </em><em>relationship</em><em> </em><em>of</em><em> </em><em>toy</em><em> </em><em>to</em><em> </em><em>battery</em><em>. </em>
Answer: There are 4 matches that are expected to lose by a soccer team.
Step-by-step explanation:
Since we have given that
Probability that a soccer team wins = 65%
Probability that a soccer team ends in a draw = 15%
Total probability we get

Probability that matches are expected to lose is given by

Since number of matches is scheduled to play = 20
Number of matches expected to lose is given by

Hence, there are 4 matches that are expected to lose by a soccer team.
Four times a number -- 4x
sum (+) of 4 times a number and 6
4x + 6