Answer:
At the end of the day 797 lockers were closed.
Step-by-step explanation:
So first of all you need to find out how many even numbers there are from 1-900 (which is 450) so you know that 450 are open. In the 3 multiplication tables every second number is even so you know that half of the 450 lockers that was opened was closed again: this meant that 225 lockers remained open.
You also know that every number in the 4 multiplication tables is the second number in the 2 multiplication tables so half of them are closed but you also know that the 900th locker was opened so now you have 113.
So to conclude you do 900-113 which gives you 797 (this is because 113 is the amount of lockers that is open)
Round 296 up to 300 and then divide 300 by 4 mentally. Answer: 75. Which is a more reasonable partial quotient, 50 or 70?
Answer:
60.22in^2.
Step-by-step explanation:
First, find the area of the rectangle. 14.1x7=98.7.
Then, we need to find the area of the circle and subtract it from the area of the rectangle.
The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).
Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.
Answer:
v= s/t = sqrt(360^2+480^2) x 0.3048/0.5 = 365.76(m/s)
Step-by-step explanation:
s =sqrt(360^2+480^2)
s-ft-to-m = s*0.3048
t = 0.5
Answer:
1. A = 59
2. A = 43
Step-by-step explanation:
If we have a right triangle we can use sin, cos and tan.
sin = opp/ hypotenuse
cos= adjacent/ hypotenuse
tan = opposite/ adjacent
For the first problem, we know the opposite and adjacent sides to angle A
tan A = opposite/ adjacent
tan A = 8.8 / 5.2
Take the inverse of each side
tan ^-1 tan A = tan ^-1 (8.8/5.2)
A = 59.42077313
To the nearest degree
A = 59 degrees
For the second problem, we know the adjacent side and the hypotenuse to angle A
cos A = adjacent/hypotenuse
cos A = 15.3/21
Take the inverse of each side
cos ^-1 cos A = cos ^-1 (15.3/21)
A = 43.23323481
To the nearest degree
A = 43 degrees
