Answer:
5/9, 2/7, 3/10 are all rational numbers
Step-by-step explanation:
Remember that all rational numbers are able to be written as a fraction or ratio of two integers.
<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61
</span><span>
<span>
<span>
1,296, </span></span></span>
<span>
<span>
<span>
729, </span></span></span>
<span>
<span>
<span>
3,721
</span>
</span>
</span>
<span><span>
</span>
</span>
<span><span>
</span>
</span>
<span><span>2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025
3) Compare this sum to the square of the 3rd side.2,025 < 3,721
if sum > 3rd side² Acute Triangleif sum = 3rd side² Right Triangleif sum < 3rd side² Obtuse TriangleTherefore, it is an Obtuse TriangleSource:http://www.1728.org/triantest.htm
</span></span>
Answer:
x = 7 m and x = −7 m
Step-by-step explanation:
Its a modulus problem
concept
|x| = x when x>=0
|x| = -x when x < 0
____________________________________
Now given
|x| − 2 = 5
adding 2 both sides
|x| − 2 + 2 = 5 + 2
|x| = 7
now
x = 7 when x >= 0
x = -7 when x<0
Thus, correct answer is x = 7 m and x = −7 m
Answer:
The cost per ticket is<u> constant</u>.
Step-by-step explanation:
Given:
It costs $20 for 4 play tickets and $35 for 7 play tickets.
Now, to get whether cost per ticket is constant or not.
So, if the cost per ticket is constant that means the cost of ticket for a play or more is fixed, non-varying and it does not change.
Now, we check it:
4 play tickets costs = $20.
1 play tickets costs = $20 ÷ 4 = $5.
So, 7 play tickets costs = $5 × 7 = $35.
Thus, the cost of ticket for play is not changing and it is constant.
So the cost per ticket is constant.
Therefore, the cost per ticket is constant.
The number of non-blue marbles you need to combine with the blue marbles to achieve a probability of 0.1 is 28.
<h3>How many non-blue marbles are needed?</h3>
Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
Probability of picking a blue marble = number of blue marble / total number of marbles
4 / (4 + 8)
4/12 = 0.33
The number of non-blue marbles needed = ( 4 / 0.1) - 12
40 - 12 = 28
To learn more about probability, please check: brainly.com/question/13234031
#SPJ1