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3 years ago

Which are the possible side lengths of a triangle?

1 answer:

7 0

If you know you have a triangle, then the sum of the shortest 2 sides must be greater than the length of the longest side. Graph this for a better understanding.

This stems from the Pythagorean Theorem, which applies only to right triangles: x^2 + y^2 = h^2, where x and y are the shortest two sides and h is the hypotenuse.

Don't know whether or not you have studied the Law of Sines and/or the Law of Cosines, but both are relevant here.

You might be interested in

If - 6x +11 = 29 then 5x = ?

weeeeeb [17]

Answer:

5x= -15 I think

Step-by-step explanation:

You would have to solve the -6x+11=29 to find the value of x. To do so you would subtract the 11 from both sides leaving you with -6x=18. Then you divide that by -6 to find x. So x=-3. To find what 5x equals you would just plug in -3 as x and multiply 5(-3). Leaving you with -15.

5 0

3 years ago

How would you put that in interval notation?

svet-max [94.6K]

If that is all it gives for the answer, then it is saying that x can be all numbers less than 3 except -2. So for interval notation it will be (-∞,-2),(-2,3). You also use the parenthesis instead of brackets because the number is not included in the answer.

8 0

4 years ago

In an endurance race, Rachel ran

Reil [10]

Answer:

$31\frac{1}{5}\ miles$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

The distance is equal to multiply the speed by the time

we have

$speed=9\frac{3}{5}\ \frac{miles}{hour}$

$time=3\frac{1}{4}\ hours$

$distance=(9\frac{3}{5})(3\frac{1}{4})$

Convert mixed number to an improper fraction

$9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}$

$3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}$

substitute

$distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles$

Convert to mixed number

$31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles$

3 0

3 years ago

Lowest common multiple of 12, 18,56

joja [24]

Answer: The lowest common multiple of 12, 18, and 56 would be 504. Why? Well, see below for an explanation!

Step-by-step explanation: What is the lcm? Well, the lcm of two or more numbers is the lowest possible number that each number has in common as a multiple. Because we are dealing with large numbers, we can tell that the lcm will be a multiple of these numbers times at least 5. I multiplied all the numbers by 10, and it was too large and did not work. However, I backed up and tried 9.

56 x 9 = 504.

Why is this acceptable? Well, this is acceptable because I found that 504 can be divided by 12 and 18 both to get a whole number.

504 divided by 18 equals 28.

504 divided by 12 equals 42.

Using this principle, we will find that 504 is the lowest number that 12, 18, and 56 have in common.

Your final answer: 504 is the lowest common denominator. If you need extra help, let me know and I will gladly assist you.

7 0

2 years ago

Read 2 more answers

3y-8/12 =y/5<br> What is the solution to the proportion?

Gelneren [198K]

Answer:

y = 40/3

Step-by-step explanation:

For greater clarity please write 3y-8/12 =y/5 as:

3y-8 y

-------- = ------

12 5

Cross-multiplying, we get:

15y - 40 = 12y

Combining the y terms yields 3y = 40, so that y = 40/3

5 0

4 years ago