First we are going to find divided by 100 and multiply 20 is equal to four.
We are gonna use x to represent this number.
x/100 * 20 = 4
Solve for x
Therefore x = 20cm
Now that we found x the side of the larger square we are gonna find the area which is side^2.
20 * 20
Therefore the area of the larger square is 400cm^2
Answer: 3
Step-by-step explanation:
By the intersecting chords theorem,
3.01 m/s
This is a simple projectile calculation. What we want is a vertical velocity such that the time the droplet spends going up and going back down to the surface exactly matches the time the droplet takes to travel horizontally 0.800 meters. The time the droplet spends in the air will is:
V*sqrt(3)/2 ; Vertical velocity.
(V*sqrt(3)/2)/9.8 ; Time until droplet reaches maximum height
(V*sqrt(3))/9.8 ; Double that time for droplet to fall back to the surface.
The droplet's horizontal velocity will be:
V/2.
So the total distance the droplet travels will be:
d = (V*sqrt(3))/9.8 * V/2
d = V^2*sqrt(3)/19.6
Let's substitute the desired distance and solve for V
d = V^2*sqrt(3)/19.6
0.8 = V^2*sqrt(3)/19.6
15.68 = V^2*sqrt(3)
15.68/sqrt(3) = V^2
15.68/1.732050808 = V^2
3.008795809 = V
So after rounding to 3 significant figures, the archerfish needs to spit the water at a velocity of 3.01 m/s
Let's verify that answer.
Vertical velocity: 3.01 * sin(60) = 3.01 * 0.866025404 = 2.606736465
Time of flight = 2.606736465 * 2 / 9.8 = 0.531987034 seconds.
Horizontal velocity: 3.01 * cos(60) = 3.01 * 0.5 =
1.) Number of Total Shirts = 220
In Figure 1, Red boxes represent "<span>short sleeve shirts" which is 7 in number whereas Blue boxes represent "long sleeve shirts".
1 box contains = 220/10 = 22 shirts
Number of short sleeves = 22 * 7 = 154
<span>
In short, Your Final Answer would be: 154 </span></span>2.) Number of Total Subscribers = 260
In Figure 1, Red boxes represent "<span>regular subscribers" which is 10 in number whereas Blue boxes represent "premium subscribers".
1 box contains = 260/13 = 20 subscribers.
Regular subscribers = 20 * 10 = 200
<span>
In short, Your Final Answer would be: 200</span></span>
3.) Number of Total People = 360
In Figure 1, Red boxes represent "<span>Males" which is 3 in number whereas Blue boxes represent "females".
1 box contains = 360/12 = 30 people
Number of males: = 30 * 3 = 90
<span>
In short, Your Final Answer would be: 90
Hope this helps!</span></span>
Answer:
(-5, 3)
Step-by-step explanation:
Elimination seems like the best method to use here.
x+y=-2
x-y=-8
---------
2x=-10
Divide everything by two
x=-5
Now plug it back into one of the original equations,
-5+y=-2
Add 5 to everything
y=3