The greatest common factor (GCF) of 48 and 78 is: 6
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 78: 1, 2, 3, 6, 13, 26, 39
The common factors between the two numbers are 1, 2, 3, and 6, but considering 6 is the highest number out of them, it is the greatest common factor.
The formula for the area of a triangle is A = 1/2 x b x height. But, we don't have the height here. To find the height, we can use the Pythagorean theorem.
With Pythagorean theorem, we'll be finding one of the legs. If we split the original triangle in 1/2 from the vertex to the base, we now have two right triangles. Both of these right triangles have a 30 cm hypotenuse and one 13 cm leg (remember we divided the entire original triangle in half).
30^2 = 13^2 + b^2
169 + b^2 = 900
b^2 = 731
b =
Now that we know the height of the triangle, we can find the area.
A = 1/2 x 26 x
A = 13 x
A = 351.48
The final area, rounded to the nearest whole number is 351 centimeters squared.
Note: Please know that depending on if the answer rounded before using it to find the area, the final answer may then be rounded to 352.
Hope this helps! :)
Answer:
100 meters for the first jump, the second jump was 120
Step-by-step explanation:
the quotient will be:
with x ≠ -1
<h3>
How to get the quotient of functions?</h3>
For two functions f(x) and g(x), the quotient:
(f/g)(x) is equal to f(x)/g(x).
Here we have:
Taking the quotient, we get:
Where we also need to add the restriction that x must be different than -1, as we can divide by zero.
If you want to learn more about rational functions:
brainly.com/question/1851758
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Answer:
The distance between the ships is changing at 42.720 kilometers per hour at 4:00 PM.
Step-by-step explanation:
Vectorially speaking, let assume that ship A is located at the origin and the relative distance of ship B with regard to ship A at noon is:
Where and are the distances of ships A and B with respect to origin.
By supposing that both ships are travelling at constant speed. The equations of absolute position are described below:
Then,
The rate of change of the distance between the ship is constructed by deriving the previous expression:
Its magnitude is determined by means of the Pythagorean Theorem:
The distance between the ships is changing at 42.720 kilometers per hour at 4:00 PM.