MATHEMATICS HIGH SCHOOL

Calculate the perimeter of the rectangle

12cm 12cm 6cm 6cm
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Answers

Answer 1
Answer:

Answer:

The perimeter of a rectangle with the sides

12cm 12cm 6cm 6cm

would have a perimeter of 36cm

Step-by-step explanation:

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What two numbers add to 4 and when multiplied together equal 5

Answers

Answer:

\large\text{no real solution}\n\n\text{complex solution}

\large\boxed{x=2+i\ and\ y=2-i\ or\ x=2-i\ and\ y=2+i}

Step-by-step explanation:

x,\ y-\text{the numbers}\n\nx+y=4\nxy=5\n\nx+y=4\qquad\text{subtract y from both sides}\nx=4-y\n\n\text{substitute it to the second equation}\n\n(4-y)y=5\qquad\text{use distributive property}\n\n4y-y^2=5\n\n-y^2+4y=5\qquad\text{change the signs}\n\ny^2-4y=-5\n\ny^2-2(y)(2)=-5\qquad\text{add}\ 2^2\ \text{to both sides}\n\ny^2-2(y)(2)+2^2=-5+2^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\n\n(y-2)^2=-5+4\n\n(y-2)^2=-1<0\to\boxed{no\ real\ solution}

\text{If you need the complex solution, then}\n\n(y-2)^2=-1\to y-2=\pm√(-1)\n\ny-2=-i\ \vee\ y-2=i\qquad\text{add 2 to both sides}\n\n\boxed{y=2-i\ \vee\ y=2+i}\n\n\text{Put the values of y to the first equation:}\n\nx=4-(2-i)\ \vee\ x=4-(2+i)\n\nx=4-2+i\ \vee\ x=4-2-i\n\n\boxed{x=2+i\ \vee\ x=2-i}

What is the value of d?

11d = –44

Answers

11d = -44
d = -44/11
d = -4

The answer is: d = -4.

A metal sphere of radius 9 is melted and transformed into three identical spheres. What are the radii of these spheres?

Answers

Radius of identical spheres = 6.24

Step-by-step explanation:

Here volume remains constant.

Volume of big sphere = Volume of 3 identical small spheres.

Let r be the radius of small sphere,

We have

                   (4)/(3)\pi * 9^3=3* (4)/(3)\pi * r^3\n\n3r^3=9^3\n\nr^3=243\n\nr=6.24

Radius of identical spheres = 6.24

What is the geometric mean of 6 and 96

Answers

Hi,
the geometric mean of 6 and 96 is √(6*96)=24

What adds to -2 and multiplies to 15

Answers

If you meant -15

the -5 and 3

3-5=-2
-3x5=-15
(-5) + 3 = -2(-5) × 3 = -15I can't think of one that multiplies to give positive 15 and also adds to give -2.

Round each decimal of 28.6 to the ones place

Answers

The answer would be 29 because 6 is greater than 5, so it rounds up.
28.6 rounded to the ones place is 29. You round anything above .5. 
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