<u>Given</u>:
Given that the length of the two legs of the right triangle are 28 m and 45 m.
We need to determine the length of the hypotenuse.
<u>Length of the hypotenuse:</u>
The length of the hypotenuse can be determined using the Pythagorean theorem.
Thus, we have;

Simplifying, we get;


Taking square root on both sides, we get;


Thus, the length of the hypotenuse is 53 m
Hence, Option C is the correct answer.
Answer:
The possible values for X is: 
Yes, it is a discrete random variable.
Step-by-step explanation:
Consider the provided information.
We need to determine whether the variable is discrete or not.
Discrete variables are which can only take on a finite number of values.
Let the variable X be the number of unbroken eggs in a randomly chosen standard egg carton.
In a standard egg carton we can put 12 eggs.
Therefore, the possible values for X is: 
The number of unbroken eggs (X) can take infinite values, thus by the above definition it is a discrete random variable.
Answer:
-<u>T</u><u>h</u><u>e</u><u> </u><u>g</u><u>r</u><u>a</u><u>p</u><u>h</u><u> </u>crosses <u>t</u><u>h</u><u>e</u><u> </u>y-axis <u>a</u><u>t</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>p</u><u>o</u><u>i</u><u>n</u><u>t</u><u> </u><u>(</u>0,0)
<u>N</u><u>o</u><u>n</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>g</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>o</u><u>p</u><u>t</u><u>i</u><u>o</u><u>n</u><u>s</u><u> </u><u>i</u><u>s</u><u> </u><u>c</u><u>o</u><u>r</u><u>r</u><u>e</u><u>c</u><u>t</u><u> </u>
<u>A</u><u> </u><u>g</u><u>r</u><u>a</u><u>p</u><u>h</u><u> </u><u>c</u><u>r</u><u>o</u><u>s</u><u>s</u><u>e</u><u>s</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u>y-axis <u>a</u><u>t</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>p</u><u>o</u><u>i</u><u>n</u><u>t</u><u> </u><u>(</u>0,y).<u>T</u><u>h</u><u>i</u><u>s</u><u> </u><u>m</u><u>e</u><u>a</u><u>n</u><u>s</u><u> </u><u>t</u><u>h</u><u>a</u><u>t</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>g</u><u>r</u><u>a</u><u>p</u><u>h</u><u> </u><u>w</u><u>i</u><u>l</u><u>l</u><u> </u><u>c</u><u>r</u><u>o</u><u>s</u><u>s</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u>y-axis <u>w</u><u>h</u><u>e</u><u>n</u><u> </u>x-=0
To find the point where the graph crosses the y-axis,substitute x=0 into the given equation y-9x
substitute x=0 into the equation y-9x to find the corresponding value of y
That is,
y=9(0)
y=0
therefore the graph crosses the y-axis at the point (0,0)
Step-by-step explanation:
hope it hlps
Angles that create a triangle always add up to 180.
To find sides that create triangles, we have to use the Triangle Inequality Theorem.
It's where side A + B will <em>always</em> be greater than side C
and B + C will always be greater than side A
<em>and</em> A + C will always be greater than side B.
So let's check all of these answers and pick the one that's incorrect.
A.
10 + 25 + 145 = 180?
Correct!
B.
9 + 15 > 9?
Correct!
15 + 9 > 9?
Correct!
9 + 9 > 15?
Correct!
C.
40 + 70 + 60 = 180?
Incorrect! 40 + 70 + 60 = 175 which is less than 180.
The answer is three angles measuring 40 m, 70 m, and 60 m.
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
The system of inequalities is x+y≥250 and 3x+2y≤800.
Step-by-step explanation:
Given,
People to invite = at least 250
At least 250 means that the number can increase from 250.
Cups to be provided = only 800
It means the number cannot exceed 800.
Number of adults = A
Number of children = C
According to given statement;
x+y≥250
3x+2y≤800
The system of inequalities is x+y≥250 and 3x+2y≤800.
Keywords: linear inequalities, addition
Learn more about linear inequalities at:
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