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marishachu [46]
3 years ago
13

Solution to this equation

Mathematics
1 answer:
VikaD [51]3 years ago
7 0
It's right triangle 45 45 90
The sides in this triangle<span> are in the ratio 1 : 1 : 1√2
if one side = </span>2√2 then  b = 2√2
hypo. a = b(√2) = 2(2√2) = 4√2

answer
a = 4√2
b = 2√2
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On a map, the distance from Happy Hill Park to Rainbow Valley Park is 4/1/2 inches. The scale is 1/2 inch: 3 miles. What is the
Studentka2010 [4]

we are given

The scale is

\frac{1}{2} inch=3miles

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we can change it into rational form

and we get

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so, we can multiply both sides by 9

9*\frac{1}{2} inch=9*3miles

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\frac{9}{2} inch=27 miles

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3 years ago
Sam has two apples and his mother takes away one how many does sam have left ?
riadik2000 [5.3K]

Answer:

1

Step-by-step explanation:

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7 0
4 years ago
What is the maximum value of the objective function, P, with the given constraints?
maksim [4K]

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

P=20x+35y

Constraints,

x+y \leq 12

5x+y \leq 20\\x \geq 0\\y \geq 0

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

P=20x+35y

  • Point (0,0)

P=20(0)+35(0)=0

P=20x+35y

  • Point (0,12)

P=20(0)+35(12)=420

  • Point (2,10)

P=20(2)+35(10)=40+350=390

  • Point (4,0)

P=20(4)+35(0)=80

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

8 0
3 years ago
A 12-volume numbered set of books is placed randomly on a shelf. What is the probability that the books will be numbered in the
spayn [35]

Answer:

Step-by-step explanation:

There is a 1/12 probability that volume 1 will be correctly put in position 1.  

If we assume that volume 1 is right, then since there are then only 11 books left to choose from, there is then a 1/11 prob that volume 2 will be in position 2.  And so on. By the same reasoning there is 1/10 prob that volume 3 is then right, 1/9 prob for volume 4, 1/8 prob for volume 5, and 1/7 prob for volume 6,

and 1/6 prob for volume 7,and 1/5 prob for volume 8,and 1/4 prob for volume 9,and 1/3 prob for volume 10,and 1/2 prob for volume 11,and 1/1 prob for volume 12.  

So the probability is 1 /(12*11*10*9*8*7*6*5*4*3*2*1) = 1 / 479,001,600 ....

5 0
4 years ago
In 2010 there were 2000 American lions in a conservation park in Wisconsin. The lion population is decreasing
frez [133]

Step-by-step explanation:

After each year, the new population of the lions is 100% - 8% = 92% of the population of the lions the year before.

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8 0
3 years ago
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