About how much cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long?
382 cm
339 cm?
679 cm
371 cm

Answer:

This is the famous "Ice cream cone" problem.   notice that if you turn the object 90° counter clock wise , it looks like an ice cream cone.   anyway

Step-by-step explanation:

the two triangles on the pointy end make a box , if you put them together, so it's a box of 4 x 11 or 44 [tex]in^{2}[/tex].

then the actual box part in the middle it's 3 x 8 or 24 [tex]in^{2}[/tex].

and finaly the ice cream :P  or the round part. well half round part.

it's half of a circle..(we don't really know if the arc is really a circle from the problem but I'm guessing that we are supposed to assume that it is )  and the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]  

then [tex]\pi[/tex]*[tex]4^{2}[/tex] = 50.2655 which is the entire circle but we only have half.. so divide by 2   = 25.1327 [tex]in^{2}[/tex].

add the 3 parts

93.1327 [tex]in^{2}[/tex].

that's the total area of the  "ice cream cone"

now just multiply by 3.1 to find the cost of the flooring

$  288.71    

Hope that helps  :)

The value of x is 14 units.

When handling and dealing with difficulties involving the measurement of length and angles of a right-angled triangle, trigonometric values of ratios such as sine, cos, tan, cosec, cot, and secant come in handy. The trigonometric function is widely used to solve trigonometric issues at 0°, 30°, 45°, 60°, and 90°.

We know for angle of 30° the base is 7 and perpendicular is x

then

sin30° = 7/x

      [tex]\frac{1}{2} =\frac{7}{x}[/tex]

       x = 7

hence, the value of x = 14 units

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Answer:

Option C. 4.0313×10²⁷ molecules.

Step-by-step explanation:

We'll begin by calculating the volume of oxygen in the room. This can be obtained by calculating the volume of the room since the gas will eventually fill the room.

Width (W) = 5 m

Length (L) = 10 m

Height (H) = 3 m

Volume (V) =?

V = L × W × H

V = 10 × 5 × 3

V = 150 m³

Thus, the volume of oxygen is 150 m³

Next, we shall convert 150 m³ to L. This can be obtained as follow:

1 m³ = 1000 L

Therefore,

150 m³ = 150 m³ × 1000 L / 1 m³

150 m³ = 150000 L

Finally, we shall determine the number of molecules of oxygen in the room. This can be obtained as follow:

22.4 L = 6.02×10²³ molecules

Therefore,

150000 L = 150000 × 6.02×10²³ / 22.4

150000 L = 4.0313×10²⁷ molecules

Thus, the number of molecules of oxygen in the room is 4.0313×10²⁷ molecules

Answer:

This relation is not a function because the x coordinate "2" repeats in more than two functions.

Step-by-step explanation:

Hope it helps :)

Answer:

1

Step-by-step explanation:

Answer:

kelly had only 1 piece left

Step-by-step explanation:

she cut it in half she got 2 pieces , when she cut it again in half she got 2 more . she then ate 3 pieces and 1 got left.

total piece= 4

eaten =3

left = 1

Answer:

The graph is all of the plane on and to the right of the vertical line whose equation is x=-3.  Take two points whose x-coordinates are -3, say (-3,-3), and (-3,3),  connect with a straight line.

Step-by-step explanation:

Answer:

∠v = 76°

Step-by-step explanation:

since it is an isosceles triangle, both angles at the top of the picture are 52°.

∠v = 180° - 52° - 52° = 76°

Answer:

Step-by-step explanation:

Either memorize these two formulas, or derive them through multiplying r - q by r - q.

(r - q)^2 = r^2 - 2qr + q^2, and

(r + q)^2 = r^2 + 2qr + q^2    This is the square of the binomial (r + q).

Answer:

Step-by-step explanation:

Answer:

Look Below

Step-by-step explanation:

2. X - 5 = -2 / X = 3

3. 2X = 10 / X = 5

4. 5X + 10 = 10 / X = 0

If you find any fault in my answers please let me know! Thanks! Have a good day! Hope this helps!

Answer:

it is B

Step-by-step explanation:

Brainliest or

5 stars and 1 heart or both if your realy kind

PS correct me if im wrong on the answer

Answer:

Easy. The smaller is x/2.

Step-by-step explanation:

2 times is larger, so larger divided by 2 is the smaller.

Answer:

z = 28

d = 126

Step-by-step explanation:

20 = z-8

20+8= z-8+8

28 = z

d-21 = 105

d-21+21 = 105+21

d = 126

The value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

We know that the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

So d-21=105

Add 21 on both sides

d=105+21

d=126

and 20=z-8

Add 8 on both sides

20+8=z

28=z

Hence, the value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.

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Answer:

E

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

slope = rise / run = 7 / 1 = 7

m = 7

y-intercept = 0

So:

y = 7x + 0

y = 7x

Answer: Miranda can buy 18 dolls.

Step-by-step explanation:  Equation: 45 divided by 2.50

the answer to your question is B / the second graph

Answer:

the 2nd one(the steep one thats in the middle of top row)

Step-by-step explanation:

it transformed the function with a vertical stretch of 4

Answer:3/8

Step-by-step explanation:

Answer:36

Step-by-step explanation:

Answer:

3*8=24 --------- 35-24=11

Answer:

11

Step-by-step explanation:

The equation is 35 - 3 • 8

To solve it, we can use the order of operations: PEMDAS. (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)

Simplify:

35 - 24

11

hope this helps! have a great day!

Answer:

Here we have:

g(x) = 3*f( 2*x - 2) - 1

We want to know the horizontal translation used here.

We need to discuss two types of transformations here.

horizontal translation.

If we have a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

if N is negative, the translation is to the right.

if N is positive, the translation is to the left.

Horizontal dilation.

For a function f(x) an horizontal dilation of scale factor k is written as:

g(x) = f( x/k)

You can see that in our function we have both of these transformations.

Because we compare the translation with f(x), we assume that the horizontal translation is the first thing we did, then we must have

translation:

g(x) = f(x + N)

and now a horizontal dilation of scale factor k

g(x) = f( (x + N)/k)

Then we must have that the argument of the above function is the same as the argument of the given function.

(x + N)/k = 2*x - 2

then:

k = 1/2

(x + N)/1/2 = 2*x + 2*N = 2*x - 2

2*N = -2

N = -2/2 = -1

This means that we have a translation of 1 unit to the right.

Answer:

12

Step-by-step explanation:

negative times a negative equals a positive.

so, 6 times 2 is 12.

Answer: 12

Step-by-step explanation:

Negative number multiplied by negative numbers get you to positive numbers so 6x2 is going to get you to 12. I think someone said this before me but here you go!

Answer: green = 25/100, red = 1/100

Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100

Answer:

6,4

Step-by-step explanation:

Answer:

6 and 4

Step-by-step explanation:

So for the pattern, on the left side it's going up 2. And on the right side it's going down 2.

Hopefully this helps

Answer:

Yes, it is a function.

Step-by-step explanation:

A function is a relation where each x-value (input value) has exactly one y-value (output value) that is related to it or mapped to it. In order words, in a function, an input value can only have one output value.

Thus, the relation represented by the table of values above is a function because every x-value (input value) has exactly one y-value (output value).