You don't simplify rational numbers, but sometimes you can simplify a fraction.
The way to do that is to divide the top and bottom by their greatest common factor.
The greatest common factor of 57 and 69 is 3 . When you divide the top and
bottom by 3 , you have 19/23 . That's the simplest form of that particular fraction.
Answer:
The answer is 30
Step-by-step explanation:
First you have to find 120% of a (12).

Therefore; 14.4 is 80% of b, and we are trying to find 100% of b

we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.

This is the same as saying;

100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).
so the new equation is: 14.4= 4/5x
We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so.<em> </em><em>1</em><em>8</em><em>+</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>30</em>
For this kind of questions, what you can do is to find a point on the figure and see what translations it does.
For example, you can find the point (4,2) on the figure H. And then look at each choices to see if the statement is correct.
For this question, the answer is B. The point (4,2) finally change to the (4,-8) on the figure H'. It has a vertical translation of 10 units down.
Center : Mean Before the introduction of the new course, center = average(121,134,106,93,149,130,119,128) = 122.5 After the introduction of the new course, center = average(121,134,106,93,149,130,119,128,45) = 113.9 The center has moved to the left (if plotted in a graph) because of the low intake for the new course. Spread before introduction of the new course : Arrange the numbers in ascending order: (93, 106,119, 121), (128, 130,134, 149) Q1=median(93,106,119,121) = 112.5 Q3=median(128,130,134,149) = 132 Spread = Interquartile range = Q3-Q1 = 19.5 After addition of the new course,
(45,93, 106,119,) 121, (128, 130,134, 149)
Q1=median(45,93,106,119)=99.5
Q3=median (128, 130,134, 149)= 132
Spread = Interquartile range = 132-99.5 =32.5
We see that the spread has increased after the addition of the new course.
Answer:
Step-by-step explanation:
The idea here is to find the value for x and y, then add them together. See the pic I attached below. We will solve for side x first.
Side s is across from the reference angle of 48 degrees; side measuring 50 m is adjacent to the reference angle 48 degrees. Therefore, we will use the tangent ratio to solve for x:
and
50tan(48) = x so
x = 55.53m
Now we will do the same and solve for y. This time the reference angle is 28 degrees. Side y is opposite the reference angle and the side measuring 50 is adjacent to the reference angle, so we will use the tangent ratio again:
and
50tan(28) = y so
y = 26.59. Therefore,
x + y = 55.53 + 26.59 and
the height of the taller building is
82.1 m