Answer:
Yes, it's a right-angle triangle
Step-by-step explanation:
3 root 2 is 4.24
3 root 3 is 5.2
3 root 5 is 6.71
3 root 5 is the longest side, so must be the hypotenuse.
a^2 + b^2 = c^2
(3 root 3)^2 + (3 root 2)^2 = c^2
45 = c^2
Square root both sides
C = root 45
( simplified to C= 3 root 5)
Thus, it is a right-angle triangle.
(Root means a square root)
Hope this helps!
X = 3/2
<em><u>I hope this could help!</u></em>
Answer:
f(-2)=(-11)
Step-by-step explanation:
f(-2)=5(-5)+14
=(-25)+14
=(-11)
Probability of rolling a sum of 9 or a sum that is even from two number cubes is
11/18
Explanation:
When a dice is rolled there are different ways in which
9. can be obtained, which are (3,6) or (4,5) or (5,4) or (6,3). 4 options. As in all there are
6⋅6=36 options, probability is 4/36 or 1/9.
For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 options, probability is 18/36 or 1/2.
Note that the two events (getting 9 or even sum) are mutually exclusive, the probabilities can be just added i.e. combined probability is
1/9+1/2=2+9/18i.e. 11/18
Answer:
I am pretty sure there are 10 people in line.
Since Ashley is the seventh person in line, we can deduce that <u><em>there are 6 people in front of her</em></u>.
Since the amount of people in front of her is "twice as many people as there are behind her," we can divide the value of the people in front of her in half to get the value of people behind her.
6/2 is 3, so <em>there are </em><u><em>3 people behind Ashley</em></u><em>. </em>
Now, lets add the amount of people in front of Ashley to the amount of people behind her. 3 + 6 = 9, and since Ashley is also in the line, we should add 1 to the sum.
9 + 1 = 10, so <u><em>there are 10 people in the line</em></u>.
