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neonofarm [45]
3 years ago
7

15 points

Mathematics
1 answer:
Tems11 [23]3 years ago
6 0

9514 1404 393

Answer:

  I, III

Step-by-step explanation:

You know from your study of the Pythagorean theorem that a triangle with sides 3, 4, and 5 will be a right triangle. Any scaled version of this triangle will also be a right triangle, so it is helpful to learn to recognize when scaled values of these numbers are used.

  I -- the scale factor for a 3-4-5 right triangle is 2/10

  II -- no isosceles right triangle has integer side lengths. (not a right triangle)

  III -- the scale factor for a 3-4-5 right triangle is 1/13

  IV -- the lengths do not form a triangle

Triangles I and III are right triangles.

_____

<em>Additional comment</em>

The sides of an isosceles right triangle have the ratios 1 : 1 : √2. The square root of 2 is irrational. No scaled version of this triangle can have rational side lengths.

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The average number of customers per day increased 25 percent during the sale. If the average number of customers per day before
Rasek [7]

Answer:

The average number of customers per day during the sale was 150.

Step-by-step explanation:

This question can be solved using a rule of three.

Before the sale, the average number of customers per day was 120, which is 100% = 1.

Now, there are x customers, and since it is an increase of 25%, it is 100+25 = 125% = 1.25. So

120 - 1

x - 1.25

x = 1.25*120 = 150

The average number of customers per day during the sale was 150.

6 0
3 years ago
What is 3/ 4 of 6 / 7?
Vika [28.1K]
3/4 of 6/7.    The of means multiplication.

= 3/4  *  6/7.  2 into 4 is 2 and 2 into 6 is 3.
 = 3/2 * 3/7    No other number can divide, so we multiply out.
=9/14

That's the answer.
6 0
3 years ago
Read 2 more answers
Factor the expression using the GCF. The expression 21m−49n factored using the GCF is...
Roman55 [17]

Answer:  7(3m - 7n)

<u>Step-by-step explanation:</u>

Factor each term then see what value(s) they have in common:

          21m         -          49n

            ∧                        ∧

          3 · 7 · m              7 · 7 · n

Both terms have a 7 in common.  What is left over after removing the 7?

21m: 7(3m)

49n: 7(7n)

GCF: 7           Leftovers: 3m <em>and</em>  7n

Factored form of expression is: 7(3m - 7n)

6 0
3 years ago
Read 2 more answers
What is the x and y intercepts Of “ -2y=3x-6 “ ?
vesna_86 [32]

-2y=3x-6\ \ \ \ |:(-2)\\\\y=-1.5x+3

It's a slope-intercept form where a slope = -1.5 and y-intercept = 3.

x - intercept: y = 0

Therefore we have the equation:

-1.5x + 3 = 0    |-3

-1.5x = -3     |:(-1.5)

x = 2

Answer: x-intercept = 2, y-intercept = 3

5 0
3 years ago
If you could help I would really appreciate it, but if not that’s fine. Thank you.
dolphi86 [110]

Answer:

3

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!

6 0
3 years ago
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