Answer:
228m
Step-by-step explanation:
Let's draw a rectangle ABCD, A being its bottom left point, B bottom right, C top right and D top left.
That is our soccer field. The player stands in the southeast corner, which is top right corner or, in our case point B. He passes the ball to the player in the opposite corner, which is corner D. He then passes the ball to the player in the southwest corner, which is corner A. And he finally passes it back to the player in the corner B.
So, the ball goes from B to D to A to B. That means that the ball went along the circumference of the triangle DAB.
So, to answer how long the ball travelled we need to find the circumference of the triangle. The circumference is the sum of its three sides. One side is the field's length (76m) and the othet is field's width (57m). We only need to find the triangle's hypotenuse, side BD, using Pythagoras theorem:
BD² = AB² + AD²
BD² = 76² + 57²
BD = 95
So, the circumference of the triangle is 76+57+95=228m
Answer:
49%
Step-by-step explanation:
to get the percentage you put the number of occupied seats over total number of seats and multiply it by 100 over 1
Answer:
b
Step-by-step explanation:
Given
x³ + 5x² - 9x - 45 ( factor the first/second and third/fourth terms )
= x²(x + 5) - 9(x + 5) ← factor out (x + 5) from each term
= (x + 5)(x² - 9) ← factor as a difference of squares
= (x + 5)(x - 3)(x + 3)
Answer:
(2.4, -1.2)
Step-by-step explanation:
Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.
Answer:
Oh, how morbid these interest problems are.
Are you asking how much they would recieve in a year?
If so:
40000/100=400
400*60=$24000 a year
