Answer:
14. 28 inches
15. 6.3 cm
16. 1/2 yard
Step-by-step explanation:
14. use the pythagorean theorem for this problem
a^2 + 45^2 = 53^2
you get a^2+2025=2809
subtract 2025 from both sides to get
a^2=784
square root both sides to get 28
15. same thing as question 14
1.6^2+b^2=6.5^2
2.56+b^2=42.25
subtract 2.56 from both sides
b^2=39.69
square root both sides to get your answer
b = 6.3cm
16. again use the pythagorean theorem
.3^2+.4^2=c^2
.09+.16=c^2
.25 = c^2
square root both sides to get
c = .5
or
c = 1/2 yard
Answer:
X=(Y*2) // Y=(X/2)
Step-by-step explanation:
Xylophones = "X"
Yodelers = "Y"
First Equation: X=(Y*2) essentially just explains that the xylophones is equal to the yodelers times 2
Second Equation: Basically the same thing, but rather than multiplying the yodelers by two, it divides the xylophones in half.
The answer is a because you just take the points and switch them
Answer:
11880 ways
Step-by-step explanation:
We can solve this problem in two ways. I'm going to show you how to do both.
We have 12 persons and are to choose a chairperson, a vice chairperson, secretary and a treasurer. So we are picking 4 members our of 12 persons.
From this 12, when we pick out one member, we are left with 11members. From 11, if we pick out another one, we have 10 left. From 10, if we pick out another member we have 9 left.
Such that
12 x11 x10x 9= 11880
These are the total different leadership structures possible.
Another way to solve this is by permutation method.
nPr
12!/(12-4)!
= 12!/8!
= 11880 ways