20.<br> 19. passes through (-2, 19), parallel to the x-axis

The two objects are the same height, and the cylinder is just wide enough for the the box to fit inside with all 4 vertical edge

OLEGan [10]

Answer:

The answer is below

Step-by-step explanation:

The volume of a box with a length of l, width of w and a height of h is given by the formula:

volume of the box = length * width * height = lwh

The volume of a cylinder with a height of h, and radius r is given by the formula:

volume of the cylinder = π * radius² * height = πr²h

Since the box and the cylinder have the same height and the cylinder is wide enough for the box to be placed inside, this means that the box has a volume greater than that of the cylinder. Hence:

If the box can take 8 cups, the cylinder would be able to take 10 cups.

7 0

2 years ago

Find the cubic equation that has -1 and 2i as roots

ryzh [129]

The cuic equation is -1 and 2i

6 0

3 years ago

Your family goes to a restaurant for dinner. There are 7 people in your family. Some order the chiken dinner for $ 12 dollars an

aleksandrvk [35]

Answer:

The number of people who ordered steak dinner is 5

The number of people who ordered chicken dinner is 2

Step-by-step explanation:

Given as :

The total number of people went for the dinner = 7

The total bill price for the dinner = $ 109

The price for the chicken dinner = $ 12

The price for the steak dinner = $ 17

Let The number of people who ordered chicken dinner = c

And The number of people who ordered steak dinner = s

Now, According to question

The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner

Or, c + s = 7

And The total bill price for the dinner = The price for the chicken dinner × The number of people who ordered chicken dinner + The price for the steak dinner × The number of people who ordered steak dinner

Or, $ 12 × c + $ 17 × s = $ 109

Now, solving the equations

$ 12 × ( c + s ) = $ 12 × 7

Or, $ 12 × c + $ 12 × s = $ 84

Or, ( $ 12 × c + $ 17 × s ) - ( $ 12 × c + $ 12 × s ) = $ 109 - $ 84

Or , ( $ 12 × c - $ 12 × c ) + ( $ 17 × s - $ 12 × s ) = $ 25

Or, ( 0 ) + ( $ 5 s ) = $ 25

∴ s = $\frac{25}{5}$

I.e s = 5

So, The number of people who ordered steak dinner = s = 5

Put the value og s in Eq A

∵, c + s = 7

or, c = 7 - s

Or, c = 7 - 5

I.e c = 2

So , The number of people who ordered chicken dinner = c = 2

Hence The number of people who ordered steak dinner is 5

And The number of people who ordered chicken dinner is 2 Answer

5 0

3 years ago

I NEED HELP WITH NUMBER 2

sashaice [31]

$5y+2x = -7~~~~~......(i)\\\\y = -2x +5 ~~~~~~.....(ii)\\\\(i) -(ii):\\\\5y+2x -y = -7-(-2x+5)\\\\\implies 4y +2x = -7 +2x -5\\\\\implies 4y +2x -2x = -12\\\\\implies 4y = -12\\\\\implies y = - \dfrac{12}4 = -3\\\\\\\text{Substitute}~ y=-3~ \text{in equation (ii):}\\\\\\-3 = -2x +5\\\\\implies 2x = 5 +3 \\\\\implies 2x = 8\\\\\implies x = \dfrac 82 =4\\\\\text{Hence,}~ x = 4$

4 0

2 years ago

Evaluate 8+3e when e=2

larisa [96]

8+3e
8+3(2)
8+6
=14

The answer is 14
hope this helps

8 0

3 years ago

Read 2 more answers

20. 19. passes through (-2, 19), parallel to the x-axis