A pizza box is 20 inches wide, 18 inches long, and 2 inches tall.
How many square inches of cardboard were used to create the box?

Answer:

See below for proof

Step-by-step explanation:

[tex]2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}[/tex]

Thus, the identity is proven

Answer: The volume of the cylinder is 125, 600 cm^3

Step-by-step explanation:

Volume = 3.14 x Radius^2 x Height

Volume = 3.14 x 20^2 x 100

Volume = 3.14 x 400 x 100

Volume = 125,600 cm^3

Answer:

A=31.5cm squared

Step-by-step explanation:

A=lw

A=(9)(3.5)

A=31.5

therefore A=31.5cm squared

Answer:

31.5 cm

Step-by-step explanation:

Just multiply the length and width

Answer: A

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees, so the unknown angle is 180-90-45=45 degrees.

Answer:

a

Step-by-step explanation:

[tex]1, 2, 3, 4, 5 [/tex]

Answer:

The first five natural numbers are 1, 2, 3, 4, and 5.

Step-by-step explanation:

Natural numbers, which include all positive integers from 1 to infinity, are a component of the number system. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. They are only positive integers, not zero, fractions, decimals, or negative numbers, and they are a component of real numbers. Numbers may be found everywhere around us, used for counting items, representing or transferring money, calculating temperature, telling time, and so on. "Natural numbers" refer to the numbers that are used to count items. When counting items, we may say 5 glasses, 6 books, 1 bottle, and so on. A collection of all whole integers except 0 is referred to as whole numbers. These figures play an important role in our daily actions and communication.  Natural numbers are those that can be counted and are a portion of real numbers. Only positive integers, such as 1, 2, 3, 4, 5, 6, etc., are included in the set of natural numbers. Non-negative integers are also known as natural numbers (all positive integers). 23, 56, 78, 999, 100202, and so forth are only a few instances. A collection of elements is referred to as a set (numbers in this context). In mathematics, the set of natural numbers is expressed as 1,2,3,... 1 is the lowest natural number. We know that the smallest element in N is 1 and that we can talk about the next element in terms of 1 and N for any element in N. (which is 1 more than that element). Two is one greater than one, three is one greater than two, and so on. The natural numbers from 1 to 100 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 and 100.

Answer:

200 sq units

Step-by-step explanation:

As you might know, 3 angles of a triangle adds up to 180*. Since you already know the angles are 60* there is one more 60*. So by this you know that all the sides are equal.

As the given states, one side is 20. So following the standard way to get the area of a triangle b*h/2; 20*20 = 400 / 2 = 200 sq units

Answer:

The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Step-by-step explanation:

Videos Incorporated Expression:

-> Starting membership fee of $4.99, and then adding onto the overall cost is $0.99 for every movie watched.

4.99 + 0.99x

Videos Plus Expression:

-> There is no membership fee, but adding to the cost is $2.99 per movie.

2.99x

Which inequality represents this situation?

-> You do not have answer options, so this is a guess.

-> It states that "Videos Plus is a better deal than Videos Incorporated" which means Videos Incorporated costs more than Videos Plus

2.99x < 4.99 + 0.99x

Answer:

View attached graph

Step-by-step explanation:

Hope it helps!

Answer:

x = 9 cm

create proportional equation:

[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]

[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]

[tex]\sf 9(3x+36) = 81(3x-20)[/tex]

[tex]\sf 27x+324 = 243x-1620[/tex]

[tex]\sf 27x-243x=-1620-324[/tex]

[tex]\sf -216x=-1944[/tex]

[tex]\sf x = 9[/tex]

Answer:

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

The value 0.92 indicates the relative density of the ice.

Data;

Specific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.

mathematically;

[tex]relative density = \frac{density of substance}{density of reference}[/tex]

The value 0.92 indicates the relative density of the ice.

Learn more on specific gravity here;

https://brainly.com/question/14932758

Answer:

if u make the square half by its midpoint then we can find its area by using the area of rectangle.

if u make the square half from the diagonal we can find its area by using area of triangle.

Answer:

Myra swims for 3 miles.

Step-by-step explanation:

3/5 = 6/10

2 4/10 + 6/10 = 3

Step-by-step explanation:

for the trip restaurant to the bus stop he had to go 2 blocks down and 3 blocks to the left - in total 5 blocks.

for the trip from the bus stop to the stadium he had to go 3 blocks to the left and then 8 blocks up. in total 11 blocks.

so, the whole trip took 5 + 11 = 16 blocks.

Answer:

answer is 1 metre

Step-by-step explanation:

We can assume the width be 'x'

Now we would get the equation

(2x+10)(2x+14)=192

on solving we get x=1

Answer:

Average increased by 10

Step-by-step explanation:

Lets take 2 numbers - 10 and 12. The average of these two numbers is 11. By adding 10 to both of these numbers you get 20 and 22. The average of these numbers is 21. The average of the 2 numbers increased by 10

Answer:

Step-by-step explanation:

The given information is not sufficient to determine each angle measure since the quadrilateral is irregular.

It would be good to see the picture at least.

Possible options are A or B but we can't confirm without additional detals, option C can't be a correct choice as 180° represents a straight line.

Answer:

n = 6

Step-by-step explanation:

[tex] \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n - 4} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:{}{n - 4} = {2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 2 + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 6[/tex]

Hence, value of n is 6

This inequality says the following:-

-5>x

negative 5 is greater than x, which means x is less than -5:

x<-5

Now, Which values make this inequality true?

Since x is less than -5, then numbers less than -5 will make this inequality true.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

A

Step-by-step explanation:

Look at where the two lines intersect.

Answer:

a) 160km

b) it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Step-by-step explanation:

a) d=speedxtime

so, 64x2. 5=160km

b) time=d/s

so, 160/50

it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Answer:

It may be a division sign, if not I have no clue.

Step-by-step explanation:

I guess it is therefore. Not so sure.....

Answer:

a is the write ansere

Step-by-step explanation:

please mar me brainliest

Answer:

A

Step-by-step explanation:

I'm 95.1% sure

Answer:

A = 1 square unit

Step-by-step explanation:

Given:

To find A, substitute the value of s into the equation for A and solve:

[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]

[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]

[tex]\sf \implies A=\dfrac{16}{16}[/tex]

[tex]\sf \implies A=1[/tex]

Therefore, A = 1 square unit

[tex]\\ \rm\rightarrowtail A=16s^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]

[tex]\\ \rm\rightarrowtail A=1units^2[/tex]

Answer:

No, it is not a function.

Step-by-step explanation:

In a function, each element in the domain must correspond to exactly one element in the range. That is not the case here.

Answer:

The choice B

Step-by-step explanation:

[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]

Answer:

12:10

Step-by-step explanation:

1 hour and 20 minutes sailing- sailing ended at 2:30 pm when it was time for dinner.

For this, you simply have to subtract nd hour and 20 minutes from 2:30:

That is 1:10 pm.

Then, Walter spent an hour doing archery, so you take an hour off- which turns it back to 12:10 pm.

or 10 minutes after noon.

Thus, Archery started at 12:10 pm

Hope this helps, brainliest is always appreciated! :)
Have a nice day! cx

~Mitsuna

Answer:

30°C

Step-by-step explanation:

The Conversion Formula :-

F is given to be 86.

Substitution

Answer:

Sample Response: To find the celsius temperature, substitute 86 for F in the formula. Then, use the order of operations to simplify. Substract 32 from 86. Then multiply 5 9 by 54 to get 30°C.

Step-by-step explanation: