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2 years ago

How many different triangles can you make from 6 cm,6 cm, and 4 cm?

Mathematics

1 answer:

lubasha [3.4K]2 years ago

4 0

Answer:

Step-by-step explanation:

The sides of a triangle are 6cm, 6cm, and 4cm.

According to triangle inequality, the sum of the length of any two sides of a triangle must be greater than the length of the third side.

So,

6+6=12>4

6+4=10>6

4+6=10>6

Therefore, the theorem of triangle inequality is satisfied for all three possible cases. This implies that only one triangle can be constructed with sides measuring 6cm, 6cm, and 4cm.

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Step-by-step explanation:

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2 years ago

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Write down a fraction whose value lies between 3 and 4; whose denominator is a multiple of 5; whose numerator is a multiple of 1

slamgirl [31]

Answer:

33/10 and 55/15

Step-by-step explanation:

Possible denominators that are multiples of 5 less than 17 are 5, 10, 15.

Corresponding numerator ranges are [15, 20], [30, 40], and [45, 60]. In only two of these ranges are there any multiples of 11.

33 in [30, 40]

55 in [45, 60]

So, there are only two possible fractions meeting your requirement:

33/10 and 55/15

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2 years ago

In the triangle below, suppose that m/Q = (2x-3)°, m/R= (5x+7)°, and m/S=xº.

o-na [289]

Answer:

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Step-by-step explanation:

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1 year ago

N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m

Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

$m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350$

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

$y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500$

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

$0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10$