| -3x| = 18 absolute value

What is the surface area of the box

Elena-2011 [213]

Answer:

360 in²

Step-by-step explanation:

Surface Area of the box = 2(lb+bh+hl)

= 2(12×6 + 6×6 + 6×12)

= 2(72 + 36 + 72)

= 2(180)

= 360 in²

Therefore D is the right answer.

8 0

3 years ago

How would you draw a counterexample to this?

NeX [460]

Melanie said:
Every angle bisector in a triangle bisects the opposite side perpendicularly.

A 'counterexample' would show an angle bisector in a triangle that DOESN'T
bisect the opposite side perpendicularly.

See my attached drawing of a counterexample.

Both of the triangles that Melanie examined have equal sides on both sides
of the angle bisector. That's the only way that the angle bisector can bisect
the opposite side perpendicularly. Melanie didn't examine enough different
triangles.

6 0

4 years ago

Suppose the function F(c) represents the earnings of a volleyball team from selling c cupcakes. They are selling each cupcake fo

navik [9.2K]

Answer:

The variable c represents the domain as it is the independent variable.

The domain of the function F(c) is given by c ≥ 0.

So, only positive values for the input make sense.

The upper limit of the domain is +∞ and lower limit is 0.

It is not possible for the team to earn $50.50 as it will be only multiple of 2.

Step-by-step explanation:

If F(c) represents the earning of a volleyball team from selling c cupcakes and each cupcake costs $2 each, then the equation that models the situation is

F(c) = 2c ..... (1)

The variable c represents the domain as it is the independent variable. (Answer)

The domain of the function F(c) is given by c ≥ 0. (Answer)

So, only positive values for the input make sense. (Answer)

The upper limit of the domain is +∞ and the lower limit is 0. (Answer)

It is not possible for the team to earn $50.50 as it will be only multiple of 2. (Answer)

5 0

3 years ago

Read 2 more answers

One solution to the problem below is 6. What is the other solution? m²-36=0

saveliy_v [14]

Answer:

-6

Step-by-step explanation:

$m^2-36=0$

Adding 36 on both sides gives:

$m^2=36$

Square rooting both sides:

$m=\pm \sqrt{36}$

$m=\pm 6$

So if square -6 , you will get 36 just like when you square 6.

That is $(-6)^2=6^2=36$

3 0

3 years ago

Read 2 more answers

A rectangle is 12cm longer than its wide. It's perimeter is 68m, how do you find it's length and width?

Zina [86]

Answer:

Width: 1694 cm or 16.94 m

Length: 1706 cm or 17.06 m

Step-by-step explanation:

1. Write out the known equations:

First, the equation for the perimeter of a rectangle:

$Perimeter = 2(Width) + 2(Length)$

We also know that the rectangle is 12 cm longer than it is wide. This leads to the second equation:

$Length=Width+12$

2. Solve the system of equations for width:

Since we know the length in terms of width, and we know the perimeter, we can plug these values into the equation for the perimeter. First, let's rearrange the equation for perimeter to solve for width:

$Perimeter = 2(Width) + 2(Length)\\Perimeter-2(Length)=2(Width)\\2(Width)=Perimeter-2(Length)\\Width=\frac{Perimeter-2(Length)}{2}$

Now, plug in the known values (since there are 100 cm in one metre, I'm multiplying the perimeter of 68 m by 100 to convert to centimetres--the perimeter of 68 m is equal to 6800 cm):

$Width=\frac{6800-2(Width+12)}{2}$

Now, solve the equation for width:

$Width=\frac{6800-2(Width+12)}{2}\\2(Width)=6800-2(Width+12)\\2(Width)=6800-2(Width)-24\\2(Width)+2(Width)=6800-24\\4(Width)=6800-24\\4(Width)=6776\\Width=1694cm$

3. Solve for length using width:

Now that we know the width, we can easily solve for the length using our previously established equation for length, $Length=Width+12$ , as shown:

$Length=Width+12\\Length=1694+12\\Length=1706cm$

4. Convert to metres.

If you want to know the answer in metres, you can convert from centimetres by dividing by 100:

1694/100 = 16.94 m

1706/100 = 17.06 m

4 0

2 years ago