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fenix001 [56]
2 years ago
8

A little boy stands on a carousel and rotates around the ride 4 times. If the distance between the litile boy and the center of

the carousel is 6 feet, how many feet did the little boy travel?
WILL MARK BRAINLEST​
Mathematics
2 answers:
coldgirl [10]2 years ago
3 0

Answer:

cos(45 -    \alpha ) -  \sin(45 -  \alpha )

Snezhnost [94]2 years ago
3 0

Answer:

452.16

Step-by-step explanation:

Simple, To the center is 6 and we are trying to find the circumference, So 6 x 6 = 36 then multiply it by pi (3.14) and we get 113.04 and it rotates 4 times so then we need to multiply 113.04 x 4 which is 452.16

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5 0
3 years ago
The temperatures at 6:00 am one morning in four cities are given below.
Andre45 [30]

Answer:

-9

Step-by-step explanation:

8 0
2 years ago
Y=-x^2+2x+10<br> y=x+2<br><br> Substitution <br> Please show your work<br> Need ASAP
erik [133]

Answer:

The solutions of the system of equations are the points

(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})  

(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})  

Step-by-step explanation:

we have

y=-x^{2} +2x+10 ----> equation A

y=x+2 ----> equation B

Solve the system by substitution

substitute equation B in equation A

x+2=-x^{2} +2x+10

solve for x

-x^{2} +2x+10-x-2=0

-x^{2} +x+8=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-x^{2} +x+8=0

so

a=-1\\b=1\\c=8

substitute in the formula

x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}

x=\frac{-1\pm\sqrt{33}} {-2}

x=\frac{-1+\sqrt{33}} {-2}  -----> x=\frac{1-\sqrt{33}} {2}  

x=\frac{-1-\sqrt{33}} {-2}  -----> x=\frac{1+\sqrt{33}} {2}  

<em>Find the values of y</em>

For x=\frac{1-\sqrt{33}} {2}  

y=x+2

y=\frac{1-\sqrt{33}} {2}+2  ---->y=\frac{5-\sqrt{33}} {2}  

For x=\frac{1+\sqrt{33}} {2}  

y=x+2

y=\frac{1+\sqrt{33}} {2}+2  ---->y=\frac{5+\sqrt{33}} {2}  

therefore

The solutions of the system of equations are the points

(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})  

(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})  

5 0
2 years ago
It is solving multi-step inequalities.
kati45 [8]
If you took a better picture I would be able to solve it. Sorry it is pretty blury
3 0
3 years ago
Read 2 more answers
Simplify the following 3/4(1/2× - 12)+4/5
irga5000 [103]

Step-by-step explanation:

3/4 ×1/-24 +5/5

3×1/4×-24+4/5

3×1/4×-24+4/5

3/-96+4/5

-3/96+4/5

-1/32+4/5

ans:123/160

3 0
3 years ago
Read 2 more answers
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