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Flura [38]
3 years ago
6

How long does the inner bar have to be for a bench that is 20 inches off the ground, and 60 inches long?

Mathematics
1 answer:
lapo4ka [179]3 years ago
3 0

Answer:

To solve one question at a time : 7 foot length table vs 6.5 foot length bench. This sounds right. As to height of table vs height of bench/chairs you can get dimensions of an an actual dining room setup

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Evaluate 7C2. Explain how you got your answer.
Leviafan [203]
So, to evaluate a combination, there's a formula we use.

I don't remember the formula from the top of my head, lol, but this is how you solve them.

7 c 2

When doing combinations and permutations each number is always in a factorial. We always start with the number on the left.

7! That's the total amount. The number on the left divides into that.

7! / 2!

We're not done yet. Here's the tricky part. We also always divide the number on the left, in this case 7!, with the positive difference of both numbers given to us.

7 - 2 = 5

So, we have 7! / 5! / 2! = 21.

Hope that helped!

Let's work another one.
5 c 3

We have 5! / 3! ,but we need to also divide 5! by the positive difference of 5 and 3. We get 2.

So, 5! / 3! / 2! = 10.

If you have any questions then leave a comment. Good luck!
5 0
4 years ago
The ratio of blue tacks to red tacks on the bulletin board is 3 to 5. There are 50 red tacks. How many blue tacks are on the boa
algol13
3:5=x:50

Therefore 5 ×x = 50 

x = 10

Therefore 3 × 10 = 30

therefore 30 blue pens 

proof = 30 blue + 50 red= 3+ 5

therefore 80 = 8x
3 0
3 years ago
Read 2 more answers
1 kilogram (kg) is about 2.2 times as heavy as 1 pound (lb). Suppose the function f determines Chase's weight (in lbs), f(t) , g
krek1111 [17]

Answer:

  a) 87.7

  b) g(t) = f(t)/2.2

Step-by-step explanation:

The number of pounds is 2.2 times the number of kilograms, so we have ...

  f(t) = 2.2·g(t)

a) On day 37, Chase's weight in kg is ...

  f(37) = 2.2g(37)

  193 = 2.2g(37)

  g(37) = 193/2.2

  g(37) ≈ 87.7

__

b) Rearranging the equation we started with, we have ...

  g(t) = f(t)/2.2

5 0
3 years ago
What's the square root of -1
aalyn [17]
The answer is " i " i just took the test.


5 0
3 years ago
A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the box that minimize the amount
mestny [16]

Answer:

base: 30 cm

height: 15cm

Step-by-step explanation:

Let 'b' be the length of the side of the base, and 'h' the height of the box. The volume is given by:

V=13,500=b^2*h

The total area of material used is:

A=b^2+4*(b*h)

Using both equations to solve for 'b':

h=\frac{13,500}{b^2}\\A=b^2+4*(b*\frac{13,500}{b^2})\\A=b^2+\frac{54,000}{b}\\\frac{dA}{db}=0=2b+\frac{54,000}{b^2}\\2b^3=54,000\\b=30\ cm

The value of 'b' for which the derivate of the area function (A) equals zero, is the value that yields the minimum area.

If b=30, the height 'h' is:

13,500=30^2*h\\h = 15\ cm

8 0
3 years ago
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