They are opposite exterior angles
Answer: The length is 22 feet. The width is 4 feet.
Step-by-step explanation: Create an equation for the length: 2+5w=52.
Now combine the two sides to get 4+10w=52. Plug in some numbers that seem reasonable. I started with 4, checked my work and found that it was right. This problem is all about trial and error.
So, 4+10(4)= 44. Make sure to remember the width, so add 4 for each side: 44+8. 44+8=52. Hope this helps :)
Answer:
x=8
x=-2
Step-by-step explanation:
∣x−3∣+4=9
= ∣x−3∣=5
<u>Positive term: (x-3)</u>
(x-3) = 5
Rearrange and Add up
x = 8
<u>Negative term: -(x-3)</u>
Multiply
-x+3 = 5
Rearrange and Add up
-x = 2
Multiply both sides by (-1)
x = -2
Radius: r=18 feet
Cental Angle: A=44°
Each cycle (one back and forth) lasts 12 seconds
In each cycle the pendulum swings:
L=(A/360°) 2 pi r
L=(44°/360°)(2)(3.141592654)(18 feet)
L=(0.122222222)(113.0973355 feet)
L=13.82300764 feet
Rounded to 3 decimal places:
L=13.823 feet
Each minute (60 seconds) the pendulum makes:
Number of cycles: n=(60 seconds) / (12 seconds)→n=5 cycles
Then, each minute, the pendulum swings:
T=nL=5(13.823 feet)→T=69.115 feet
Answer: Each minute, the pendulum swings 69.115 feet.
Answer:
x1 y1 x2 y2
(2 5) (-1 -4)
slope m = (y2-y1)/(x2-x1)
( -4 -5 )/( -1 -2 )
( -1/ -1 )
m= -1/-1
Step-by-step explanation:
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