Answer:
the fence needed to enclose the garden = 140 ft.
Step-by-step explanation:
given:
rectangular garden is 25 ft. by 45 ft.
find:
how many feet of fence are needed to enclose it?
use the perimeter of a rectangle formula = 2L + 2W
let L = 45 ft.
let W = 25 ft.
plugin values into the formula
P = 2L + 2W
P = 2(45) + 2(25)
P = 90 + 50
P = 140 ft.
therefore,
the fence needed to enclose the garden = 140 ft.
Factoring means to break and make it shorter.
Answers:
1. ![3rs=3*r*s](https://tex.z-dn.net/?f=3rs%3D3%2Ar%2As)
2. ![12xy=2*2*3*x*y](https://tex.z-dn.net/?f=12xy%3D2%2A2%2A3%2Ax%2Ay)
3. ![5x^{2} =5*x*x](https://tex.z-dn.net/?f=5x%5E%7B2%7D%20%3D5%2Ax%2Ax)
4. ![36x^{2} =2*2*3*3*x*x](https://tex.z-dn.net/?f=36x%5E%7B2%7D%20%3D2%2A2%2A3%2A3%2Ax%2Ax)
5. ![25x^{2} =5*5*x*x](https://tex.z-dn.net/?f=25x%5E%7B2%7D%20%3D5%2A5%2Ax%2Ax)
6. ![30x^{2} =5*7*x*x](https://tex.z-dn.net/?f=30x%5E%7B2%7D%20%3D5%2A7%2Ax%2Ax)
7. ![5x^{3} =5*x*x*x](https://tex.z-dn.net/?f=5x%5E%7B3%7D%20%3D5%2Ax%2Ax%2Ax)
8. ![24y^{3}= 2*2*2*3*y*y*y](https://tex.z-dn.net/?f=24y%5E%7B3%7D%3D%202%2A2%2A2%2A3%2Ay%2Ay%2Ay)
9. ![9xy=3*3*x*y](https://tex.z-dn.net/?f=9xy%3D3%2A3%2Ax%2Ay)
10. ![12x^{4} =2*2*3*x*x*x*x](https://tex.z-dn.net/?f=12x%5E%7B4%7D%20%3D2%2A2%2A3%2Ax%2Ax%2Ax%2Ax)
hope this helps
Answer:
Hi there!
Your answers are:
a) x= 10
b) x= 4
c) x= 2
Step-by-step explanation:
a) 5+2x=25
-5
2x= 20
/2
x= 10
<u>Plug back in!</u>
5+2(10)= 25
5+20=25
25=25✓✓✓
b) 14= 5x-6
+6
5x= 20
/5
x= 4
14= 5(4)-6
14= 20-6
14=14✓✓✓
c) 15= 4x+7
-7
8= 4x
/4
2=x
15= 4(2)+7
15= 8+7
15= 15✓✓✓
Hope this helps!
The answer is 9 because 27/3 equals 9
Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = ![4\pi](https://tex.z-dn.net/?f=4%5Cpi)
phase shift = ![\frac{-4\pi }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%5Cpi%20%7D%7B3%7D)
Vertical shift = -2
Angular velocity , w = ![\frac{2\pi }{time period}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20%7D%7Btime%20period%7D)
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
w = 2
Phase shift = ![\frac{-\pi }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Cpi%20%7D%7B3%7D)
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2