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krok68 [10]
3 years ago
13

Please show your work! will be giving the brainiest

Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0

Use the Pythagorean theorem:

x = √(12.7^2 - 6.2^2)

x = √(161.29 - 38.44)

x = √122.85

x = 11.08

Round to 11.1 m

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8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.
loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

^8C_4\times ^9C_5\times^9C_2\times^7C_3

=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0
3 years ago
T
ad-work [718]

Answer:

Present age

Son: 15

Father: 45

Step-by-step explanation:

Remark

Thank you for the translation. Without it, the problem would be impossible -- at least for me.

Givens

Let the present age of the father = x

Let the present age of the son = y

Solution

x + y = 60

How many years will pass? You could say it's z.

x + z = y                          When z years pass, the son will be his father's present age.

x + z + y + z = 120          when z is added to both their current ages, the result is 120                   Collect like terms

       

x + y + 2z = 120            

<u>x + y         = 60  </u>            Subtract The very first equation

2z = 60                          Divide by 2

z = 60/2                         30 years have passed.

z = 30

x + z = y

x + 30 = y                       Substitute x + 30 for the present y value (the father).

x + x + 30 = 60

2x = 30

x = 15

x + y = 60

15 + y = 60

y = 60 - 15

y = 45

So the son's age right now is 15

The father's age right now is 45

8 0
3 years ago
What is Three is added to a number and then the sum is multiply by 4. The result is 16. Find the number?
lbvjy [14]
The number would be 1 because
3+1= 4x4= 16
6 0
3 years ago
Find the scale factor where the pre-image is the small triangle and the image is the large triangle.
allsm [11]

Scale factor is the ratio of two corresponding sides.

Here we have two triangles, where the preimage is the smaller triangle and the image is the larger triangle.

So scale factor =14/18 = 7/9

And to find the missing variable, we need to set the ratio.

7/9 = 28/x

Cross multiplying both sides

7x = 28*9

x = 36

8 0
3 years ago
Read 2 more answers
Write 3 different improper fractions that equal 4 2/3
Semmy [17]
14/3
28/6
56/12
there ya go. =)

6 0
3 years ago
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