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VladimirAG [237]
3 years ago
14

Find the perimeter and area of the figure.

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

perimeter of the figure =32 units

area of the figure=56 units²

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Leona [35]

Answer:

1 and 4 are correct. 2 and 3 are not.

Step-by-step explanation:

1.

When x = 0 where does the horse start?

y = 1.5*sin(0 + 0.5)*2*pi + 1.5

y = 1.5*sin(0.5*2pi) + 1.5

y = 1.5*sin(pi) + 1.5 But sin pi = 0

y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.

2.

This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.

3.

You can figure this one out by letting x = 0.01 When it does then the value of the function is

y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5

y = 1.5*sin(0.51*2*pi) + 1.5

y = 1.5*sin(3.204424) + 1.5

y = 1.5*(- .0623) + 1.5

y = -0.9418 + 1.5

y = 1.4058 so it is going downward The value is getting smaller.

4.

The horse starts out in the middle of the pole. What  does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)

That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.


6 0
3 years ago
Someone please help me with this! <br>|-2-8x|-5&lt;61
Mrac [35]
For
|a|<b
assume
-b<a<b
so

add 5 to both side
|-2-8x|<66
assume

-66<-2-8x<66
add 2 to both sides
-64<-8x<68
divide everyboy by -8, don't forget to flip sign
8>x>-8.5
-8.5<x<8

the solution is all numbers between -8.5 and 8, not including -8.5 and 8
in interval notation: (-8.5,8)
or
S={x|-8.5<x<8}
3 0
3 years ago
Completing the FAFSA could help decide whether a studentdeserves a merit-based awardshould receive student-specific financial ai
beks73 [17]
FAFSA -- free application for federal student aid.....so answer would be student specific financial aid
3 0
3 years ago
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Kim surveyed 80 students at her school and found that 0.65 of the students she surveyed said their favorite class is math. Anoth
lilavasa [31]
80*.65=52
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40 more prefer math over science
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What is the LCD for 11/21 and 31/45
Leokris [45]
There is none except for eleven and that is it

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