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saveliy_v [14]
3 years ago
11

Window design. A triangular window on Ross camp's new scary boat has two sides that measure 87 centimeters 64 centimeter, respec

tively. The perimeter of the triangle must not exceed 291 centimeter. What are the possible values for the length of the third side of the windows?
Mathematics
2 answers:
Lelechka [254]3 years ago
8 0
x-third\ side\\\\87+64+x
krek1111 [17]3 years ago
3 0
Since the perimeter must not exceed 291.
Let the third side be x.

x + 87 + 64  < 291
x + 151 < 291.
x            < 291 -151.
x   <  140.      (First)

But for a triangle there is what is called the Triangle Inequality Theorem.  That given  the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.

So for this case.   87 and 64.

x  > ( 87 - 64).    x  > 23.
x < (87 + 64)      x  <  151. Combine both inequalities.

       23  < x < 151  (second).

Combining First and second. Both must be satisfied.
So we have  a more accurate answer as:


23 < x < 140.      x is greater than 23 and x is less than 140.

x  could be    24, 25, 26, 27, ......, 139.  cm.

I hope this helps.
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4 0
2 years ago
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The 12th term and the sim of 1+3+5+7+.....
zzz [600]

To find this, first find the factor or rate of which the numbers are moving. To do so do as follows.

subtract 1 from 3

3-1=2

So each number is having 2 added to it.

Now add two to 7 and the numbers afterwards till you get the 12th term

7+2=9

1+3+5+7+9

9+2=11

1+3+5+7+9+11

11+2=13

1+3+5+7+9+11+13

13+2=15

1+3+5+7+9+11+13+15

15+2=17

1+3+5+7+9+11+13+15+17

17+2=19

1+3+5+7+9+11+13+15+17+19

19+2=21

1+3+5+7+9+11+13+15+17+19+21

21+2=23

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So 23 is the 12th term


7 0
3 years ago
What is -2(g+5) please help :)
Nastasia [14]

Answer:

-2g -10

Step-by-step explanation:

On simplifing this expression we get,

-2(g+5)

=> -2g + (-10)

=> -2g - 10

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

6 0
2 years ago
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What is one of the solutions to the following equations? y2+x2=53<br> Y-x=5
Olenka [21]
(1)  y² + x² = 53
(2)  y - x = 5 ⇒ y = x + 5

subtitute (2) to (1)

(x + 5)² + x² = 53      |use (a + b)² = a² + 2ab + b²

x² + 2x·5 + 5² + x² = 53

2x² + 10x + 25 = 53     |subtract 53 from both sides

2x² + 10x - 28 =0     |divide both sides by 2

x² + 5x - 14 = 0

x² - 2x+ 7x - 14 = 0

x(x - 2) + 7(x - 2) = 0

(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7

subtitute the values of y to (2)

for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3

Answer: x = 2 and y = 7 or x = -7 and y = 3
4 0
3 years ago
What is -9 x (-3) ????
Natali5045456 [20]

Answer:

the answer is 27

Step-by-step explanation:

Since both intergers are negative, two negative intergers multiplied equal a positive answer. after wards just multiply 9 and 7 together. I hope this helped.

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