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Masja [62]
2 years ago
6

Use the extended form find the perimeter of the square shape of 10cm and 18cm

Mathematics
1 answer:
dexar [7]2 years ago
3 0
The perimeter of the square would be 56 cm
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There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same sta
Morgarella [4.7K]

Answer:

a) rCn = 1176

b) 2352

Step-by-step explanation:

a)Each committee should be formed with 3 members ( no two members could be of the same state) then

Let´s  fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then

rCn =  n! / (n - r )! *r!

rCn =  49!/ (49 - 2)!*2!

rCn =  49*48*47! / 47!*2!

rCn = 49*48 /2

rCn = 1176

So we can choose in 1176 different ways a senator for a given state

b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.

1176*2 = 2352

6 0
3 years ago
THIS IS DUE TODAY! PLS GUYS
SVETLANKA909090 [29]

Answer:

The answer to 1 bear

number 2 is lion

number3 bear

Step-by-step explanation:

Hoped this helped srry if I’m wrong

7 0
3 years ago
Which data set is MOST LIKELY to be normally distributed?
mart [117]

Answer:a

Step-by-step explanation:

Doing it now on usatestprep

6 0
2 years ago
A rectangular cow pasture is enclosed on three sides by a fence and the fourth side is part of the side of a barn that is $400$
Rudiy27

Let us list out the given information:

Cost per foot = $5

Total fencing cost = $1200

Let L be the length of the barn that will maximize the area of the pasture and W be the width of the rectangular cow pasture.

From the given information, we need to do the fencing for three sides covering 1 L and 2 W's because other L will be the fourth side is part of the side of a barn. We need to write the equation based on the cost information.

If cost/foot is $5, then cost of length ' L ' will be 5L dollars and cost of '2W' width equals 10W dollars. Total cost is $1200. We can set up second equation as

5L + 10W = 1200. This can be simplified by dividing throughout the equation by 5 to get L+ 2W= 240. Solving for L we get L = 240 - 2W

Area of a rectangle is given by A = L ×W.

Substituting 240 - 2W for L we get the area function as..

A=(240 - 2W)×W= 240W-2W²

A = -2W²+240W.

When we have a function of the form f(x) = ax^2 + bx + c, then maximum value of the function can be obtained for x = -b/2a. Using that idea we can find the maximum area.

Here in the area function a = -2 and b = 240

For W = -b/2a = -240/2(-2) = -240/-4 = 60 feet, we get maximum area.

The question is asking us to find Length. We can substitute W = 60 in the equation L = 240 - 2W to find the Length.

L = 240 - 2(60) = 240 - 120 = 120 feet.

Conclusion: The length of the side parallel to the barn that will maximize the area of the pasture is 120 feet.

Note: Here the information 400 feet in the sentence "the fourth side is part of the side of a barn that is 400 feet long" given to distract us, we might not require that information to find the Length.

3 0
3 years ago
Six more than five times a number is equal to the sum of three times the same number and 10. Identify the equation you would use
mestny [16]

Answer: the equation is 6+5x=3x+10.

Step-by-step explanation:

to find the number

add 5x+3x

then add 10+6

8x=16

divide by 2 each side.

x=2

3 0
2 years ago
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