Answer:
30 students
Step-by-step explanation:
Yesterday: 1/3 of the 75 students (75 / 3) = 25 students
There are now 50 students remaining to give their speeches.
Today: 2/5 of the 50 students (50 / 5 = 10 x 2 ) = 20 students
50 - 20 = 30 students remaining to give their speeches.
Answer:
9.43km
Step-by-step explanation:
Length of an arc = 2πr(Ф/360)= 2 x 22/7 x 3 x (180/360)
2 x22/7 x 3 x 1/2 = 22/7 x 3 = 66/7 = 9.42857142857≈9.43
Answer:
50 cards
Step-by-step explanation:
We can start by saying that his total card collection has x cards in it, meaning that 28% or 28/100 of his total cards, x, is equal to 14. Next, we can divide by 28/100 on both sides, and dividing is the same as multiplying by the reciprocal. The reciprocal of 28/100 is 100/28, so 14 * 100/28 is equal to 100/2, which is 50. We can say that 50 cards were in his card collection initially.
We most often deal with vertical parabolas (open up or down) and horizontal parabolas (open right or left). For this type of parabolas vertex and focus lie on same vertical or horizontal line. Parabola opens up to the side that contains focus. If focus is left of vertex parabola opens to left.
If we have horizontal parabola formula is:

If we have vertical parabola formula is:

In this problem we have:
vertex (0,0)
focus (2.5,0)
We can see that focus is right of vertex so parabola opens to right. It is horizontal parabola. We will use formula:

Where:
vertex(h,k) = (0,0)
a = distance between vertex and focus:

Now we can insert these numbers:
