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Leokris [45]
3 years ago
14

The length around a rectangle

Mathematics
2 answers:
USPshnik [31]3 years ago
8 0
Perimeter is the length around an object

Rashid [163]3 years ago
5 0
Perimeter is correct
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Which of the following is true about the system 4/3x−2/5y=2 and 3x−2y=−1?
lilavasa [31]

Equation 1 is \frac{4}{3}x -\frac{2}{5}y =2 ,

Equation 2 is [/tex] 3x-2y = -1 [/tex]

for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15

\frac{4}{3} *15x -\frac{2}{5}*15 y =2*15

20x - 6y = 30

Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method

-9x+6y = 3

Add both the equations

20x -9x -6y +6y = 30+3

11x= 33

Divide both sides by 11

x=3

Plug in any one of the equation we get

3(3) -2y = -1

9 - 2y = -1

subtract 9 from both sides

-2y = -10

divide both sides by -2

y=5

So the solution is x= 3 , y= 5

Which means

a. The system is consistent and independent. TRUE

7 0
4 years ago
the mean of 10 students is 16 . When a student is added, the mean becomes 18. Find the age of the student added​
MakcuM [25]

Answer:

Step-by-step explanation:

5 0
3 years ago
PLEASE ANSWER ASAP CORRECT ANSWER GETS BRAINLIST
geniusboy [140]

I guess the number 2 is to indicate the question...

Then the equation would be 1/3 - 1/2x = -2/3

1/3 - 1/2x - 1/3 = -2/3 - 1/3

-1/2x = -3/3

-1/2x = -1

-1/2x *2 = - 1*2

-x = -2

-x * -1 = -2 * -1

x = 2

Good luck

5 0
3 years ago
Work out the volume of the solid shape<br><br> Give your answers in terms of pi please
kirill [66]

*The complete question is in the picture attached below.

Answer:

756πcm³

Step-by-step Explanation:

The volume of the solid shape = volume of cone + volume of the hemisphere.

==> 270πcm³ + ½(4/3*π*r³)

To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.

Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.

==> Volume of cone = ⅓πr²h

⅓*π*r²*10 = 270π

⅓*10*r²(π) = 270 (π)

10/3 * r² = 270

r² = 270 * ³/10

r² = 81

r = √81

r = 9 cm

Thus, volume of hemisphere = ½(4/3*π*r³)

==> Volume of hemisphere = ½(⁴/3 * π * 9³)

= ½(972π)

Volume of hemisphere = 486πcm³

Volume of the solid shape

= volume of cone + volume of the hemisphere.

==> 270πcm³ + 486πcm³

= 756πcm³

3 0
3 years ago
6 x - 2 [ x + 2 ] &gt; 2 - 3 [ x + 3]<br> could u show me step by step on how to do thiz
Dafna11 [192]

Answer:

x > - 3/7

Step-by-step explanation:

6x - 2x - 4 > 2 - 3 (x + 3)

6x - 2x - 4 > 2 - 3x - 9

4x - 4 > 2 - 3x - 9

4x - 4 > - 7 - 3x

4x - 4 + 3x > - 7

7x > - 7 + 4

7x > - 3

8 0
3 years ago
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