A right triangle is a special type of triangle where one of the angles makes a right angle or has 90 degrees. The longest side is called as the hypotenuse. The sides can be related by the Pythagorean theorem but it would not be useful here since we are given an angle. Instead, we find other relations. The sides and the angles can also be related by trigonometric functions. For this case we use cosine given that the leg given is adjacent to the angle. We calculate as follows:
cosine 51 = 12 units / hypotenuse
hypotenuse = 19.07 units
The length of the hypotenuse would be about 19.07 units.
Answer:
<u><em>All real numbers</em></u>
Step-by-step explanation:
<u><em>We can start out by knowing that</em></u><u><em> the domain of a graph is, the side, to side from the x axis directions. </em></u>
<u><em>We can see that the </em></u><u><em>line continues of the graph shown, meaning it is infinite. </em></u><u><em>Meaning the answer is </em></u><u><em>the domain is all real numbers.</em></u>
<u><em>We can double check by seeing that the other options don't work or aren't enough:</em></u>
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<u><em>The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is </em></u><u><em>"All real numbers"</em></u>
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To put a number into scientific notation, you multiply it by a power of 10 that will make it a digit 1-10.
As you can see, we can divide by 10, or multiply by 1/10 to get us to 1.3, which is between 1 and 10. How would we get 1.3 to 13? We would multiply by 10!
This gives us our answer below.
1.3(10
)
I hope this helps!
Answer:
Lines 1 and 2 are parallel because they have the same slope
Step-by-step explanation:
slope of line 1 = 1/2
slope of line 2 = 1/2
slope of line 3 = 4
slope of line 4 = 14
how to find slope of line 2, solve for 'y':
x - 2y = -1
-2y = x - 1
y = 1/2x + 2
how to find slope of line 4, simplify for 'y':
y + 3 = 1/4x - 1/4(6)
y = 1/4x - 6/4 - 3
y = 1/4x -6/4 - 12/4
y = 1/4x - 18/4
2x+3y= 12
To solve for the x intercept, y=0
2x+3(0)= 12
2x= 12
Divide both sides by 2
2x/2x= 12/2x
X= 6
So:(6,0)
To solve for y intercept, x=0
2(0)+3y= 12
3y= 12
Divide both sides by 3
3y/3y= 12/3
Y= 4
So: (0,4)