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s344n2d4d5 [400]
3 years ago
13

A circle with circumference 6 has an are with a 20° central angle.

Mathematics
2 answers:
Marysya12 [62]3 years ago
7 0

Answer:

AHH! Geometry!

Thanks!

The arc has a length of 1/3

Step-by-step explanation:

So you first start off with this:

\frac{20}{360}

This is because a circle is 360 degrees, and we are talking about a 20 degree arc.

Simplifying, we get \frac{1}{18}

So then, you multiply the circumference with this "factor"

\frac{1}{18} *6=\frac{6}{18}=\frac{1}{3}

Hope this helps!

P.S. Stay Safe during quarantine!

Igoryamba3 years ago
4 0
The length of the arc would be 1.05

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The perimeter of the rectangle below is 65 inches.
Tems11 [23]

Answer:

A :-) Given -

perimeter = 65 inches

Side ‘a’ = 2x

Side ‘b’ = 3 1 by 4x + 1

Solution -

Perimeter = 65

= a + b = 65

= 2x + 3 1 by 4x + 1 = 65

( 3 1 by 4 = 4 x 3 + 1 = 12 + 1 by 4

= 13 by 4 )

= 2x + 13 by 4x + 1 = 65

= 2x + 13 by 4x = 65 - 1

= 2x + 13 by 4x = 64

= 15 by 4 x = 64

= x = 64 x 4 by 15

= x = 256 by 15

= x = 17.06

.:. The value of x = 17.06.

7 0
3 years ago
A number is increased by 54. The sum is then divided by 9. The result is 21. Write an equation to represent the description abov
Andrew [12]
54 devided by 9 will equal to 21
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to the expression shown below?
posledela
The correct answer is:  [D]: " (-5 \frac{1}{4})x − \frac{1}{2}" .
_________________________________________________________

Explanation:

_________________________________________________________

 " -1/2(-3/2x + 6x + 1) −<span> 3x " ;

=  (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) </span>− <span>3x ; 


=   [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] </span>− <span>3x ; 

=   [ (3/4)x </span>− 3x − (1/2) ] −<span> 3x ; 

=   </span>(3/4)x − 3x − (1/2) − 3x ; 

= ?? ;   →  Combine the "like terms" ; 

           → "(3/4)x − 3x − 3x " =   ?? ;

                         → "(3/4)x − 3x = "(-9/4)x";

                         → "(-9/4)x − 3x = "(-21/4)x "  =  " (-5 \frac{1}{4})x " ;  

 →  The answer is:  " (-5 \frac{1}{4})x − \frac{1}{2} " ;  
___________________________________________________
 →   which is
:
___________________________________________________ 
 →   Answer choice:  [D]:  " (-5 \frac{1}{4})x − \frac{1}{2} " .
 ___________________________________________________
6 0
3 years ago
Change the expression to a single square root, or its opposite:
aleksley [76]

Answer:

a)2\sqrt{2}=\sqrt{8}

b)-7\sqrt{3} =-\sqrt{147}

c)\frac{1}{3} \sqrt{18b}  =\sqrt{2.b}

d)5\sqrt{y} =\sqrt{25y}

e)-6\sqrt{2a}  =-\sqrt{72a}

f)-0.1\sqrt{200c}=-  \sqrt{2c

Step-by-step explanation:

a) 2\sqrt{2}=( \sqrt{2}  )^2.\sqrt{2}=(\sqrt{2})^3 = \sqrt{2^3} =\sqrt{8}

b)-7\sqrt{3} =-(\sqrt{7} )^2\sqrt{3} =-\sqrt{7^2.3} =-\sqrt{147}

c)\frac{1}{3} \sqrt{18b} =\frac{1}{3} \sqrt{9.2.b} =\frac{1}{3} \sqrt{3^2.2.b} =\frac{1}{3} \times 3\sqrt{2.b} =\sqrt{2.b}

d)5\sqrt{y} =\sqrt{5^2} \sqrt{y}=\sqrt{25y}

e)-6\sqrt{2a} =-\sqrt{6^2}\sqrt{2a}  = -\sqrt{36.2a} =-\sqrt{72a}

f)-0.1\sqrt{200c}=-\frac{1}{10}  \sqrt{10^2.2c} =-\frac{1}{10}\times10  \sqrt{2c}=-  \sqrt{2c

4 0
3 years ago
What is the equation of this line <br> A) y=-4x<br> B) y=4x<br> C) Y= 1/4x<br> D) y=-1/4x
Hitman42 [59]

Answer:

The answer would be D.

Step-by-step explanation:

You can use an online graphing calculator to see the lines for each equation.

7 0
3 years ago
Read 2 more answers
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