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kakasveta [241]
3 years ago
12

how many triangles can you make with the given lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeter

s.
Mathematics
1 answer:
netineya [11]3 years ago
6 0
None.  The triangle inequality states that the sum of the smaller two sides of a triangle must be greater than the third side.  As 4+5=9, this inequality is false in this case, so these sides cannot create a triangle. 
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Four machines, each costing $5,700, were purchased for an office. Each machine requires
liubo4ka [24]

The number of months it would take to recover the cost of the machines is 12 months.

<h3> What is the total cost of the machines and the salary of the operators? </h3>

Total cost of the four machines = $5700 x 4 = $22,800

The total salaries of the machine operators in t months = 4t x $1,00 = $4,400t

Total cost = $22,800 +  $4,400t

<h3>What is the amount saved by replacing the 8 clerks in t months? </h3>

($750 x 2t) + ($650 x 3t) + ($950 x 3t)

= $1500t + $1,950t +$2,850t

= $6300t

<h3>In how many months would it take to recover the cost of the machines? </h3>

$22,800 +  $4,400t  =  $6300t

Combine similar terms

$22,800 = $6300t - $4400t

$22,800 = $1900t

Divide both sides by 1900

t = 12 months

To learn more about division, please check: brainly.com/question/194007

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3 years ago
X² +12x+27 = 0<br><br> Find the roots of each equation by factoring
Setler79 [48]

Answer:

x = -9, -3

Step-by-step explanation:

{x }^{2} + 12x + 27 = 0

(x + 3)(x + 9) = 0

x = -3, -9

5 0
2 years ago
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EastWind [94]

Answer:

7. 163 pizzas

8. 4 pencils

Step-by-step explanation:

7. 1,956 divided by 12 equals 163

8.  \frac{829}{25} = 33 \frac{4}{25}

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2 years ago
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AysviL [449]

Same thing as before!

First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.

8 0
2 years ago
How do you know if a graph you are looking at shows a periodic function? How do you determine the period of the graph?
mylen [45]

Answer:

A function f(x) is said to be periodic, if there exists a positive real number T such that f(x+T) = f(x).

You can also just say: A periodic function is one that repeats itself in regular intervals.

Step-by-step explanation:

The smallest value of T is called the period of the function.

Note: If the value of T is independent of x then f(x) is periodic, and if T is dependent, then f(x) is non-periodic.

For example, here's the graph of sin x.  [REFER TO PICTURE BELOW]

Sin x is a periodic function with period  2π  because  sin(x+2π)=sinx  

Other examples of periodic functions are all trigonometric ratios, fractional x (Denoted by {x} which has period 1) and others.

In order to determine the period of the determined graph however, just know that the period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

Hopefully this helped a bit.

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3 years ago
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