Answer:
units
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side.
The length of the sides of a square is given by the expression ![4.8x+24](https://tex.z-dn.net/?f=4.8x%2B24)
To find the perimeter, we multiply this expression by 4.
![Perimeter=4(4.8x+24)](https://tex.z-dn.net/?f=Perimeter%3D4%284.8x%2B24%29)
We expand to obtain:
![Perimeter=4*4.8x+4*24](https://tex.z-dn.net/?f=Perimeter%3D4%2A4.8x%2B4%2A24)
This simplifies to:
![Perimeter=19.2x+96](https://tex.z-dn.net/?f=Perimeter%3D19.2x%2B96)
Answer:
Angle A: 90
Angle B: 48
Angle C: 42
Side length A (Hypotinuse): 23.9
SIde length B (Opposite): 17.8
Side length C (Adjacent): 16
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html?vc=42&vx=&vy=&va=90&vz=16&vb=&angleunits=d&x=0&y=0
Answer:
Multiply the first two binomials: (x+2) & (x+4) using the FOIL method (First, Outer, Inner & Last).
(x+2)(x+4) = x^² + 4x + 2x + 8 = x^² + 6x + 8
Then we multiply the trinomial that we got from the first stage and multiply that by the remaining binomial:
(x^² + 6x + 8) (x + 4)
= x^³ + 4x^² + 6x^² + 24x + 8x + 32
Collect the like terms together to give you:
x^³ + 10x^² + 32x + 32
<u>Given</u>:
The equation of the circle is ![x^2+(y+4)^2=64](https://tex.z-dn.net/?f=x%5E2%2B%28y%2B4%29%5E2%3D64)
We need to determine the center and radius of the circle.
<u>Center</u>:
The general form of the equation of the circle is ![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
where (h,k) is the center of the circle and r is the radius.
Let us compare the general form of the equation of the circle with the given equation
to determine the center.
The given equation can be written as,
![(x-0)^2+(y+4)^2=64](https://tex.z-dn.net/?f=%28x-0%29%5E2%2B%28y%2B4%29%5E2%3D64)
Comparing the two equations, we get;
(h,k) = (0,-4)
Therefore, the center of the circle is (0,-4)
<u>Radius:</u>
Let us compare the general form of the equation of the circle with the given equation
to determine the radius.
Hence, the given equation can be written as,
![x^2+(y+4)^2=8^2](https://tex.z-dn.net/?f=x%5E2%2B%28y%2B4%29%5E2%3D8%5E2)
Comparing the two equation, we get;
![r^2=8^2](https://tex.z-dn.net/?f=r%5E2%3D8%5E2)
![r=8](https://tex.z-dn.net/?f=r%3D8)
Thus, the radius of the circle is 8
Answer:
5 drinks
Step-by-step explanation:
If the drinks cost $2.32 and you have $13 you can divide 13 by 2.32
13/2.32+ 5.6034...
You cannot buy a partal drink so you look at only the whole number which is 5.