2 regular octagons have sides of lengths 21 and 28, respectively. find the scale factor and ratio of the areas.

Answer:

slope = 3x

Step-by-step explanation:

Equation is y = 3x - 6
3x is slope

103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.

Therefore, Sydney is 48 years of age.

Answer:

Step-by-step explanation:

Find the width as below

Substitute the values and solve for w

Now find the volume

Answer:

width = 3ft

volume = 144 ft³

Step-by-step explanation:

Pythagoras Theorem

[tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

The diagonal of the base of the aquarium, its height, and the length from the top corner to the opposite bottom corner forms a right triangle.  As we know two of the lengths, we can use Pythagoras Theorem to calculate the unknown length (diagonal of base).

Given:

[tex]\implies \sf 12^2+b^2=13^2[/tex]

[tex]\implies \sf b=\sqrt{13^2-12^2}[/tex]

[tex]\implies \sf b=5[/tex]

Now we know the length of the diagonal of the base, we can again use Pythagoras Theorem to find the width of the aquarium.

Given:

[tex]\sf \implies 4^2+b^2=5^2[/tex]

[tex]\sf \implies b=\sqrt{5^2-4^2}[/tex]

[tex]\sf \implies b=3[/tex]

Therefore, the width of the aquarium is 3 ft.

As the aquarium is modeled as a rectangular prism:

[tex]\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf width \times length \times height\\ \implies \textsf{Volume of aquarium} & = \sf 3\:ft \times 4\:ft \times 12\:ft\\& = \sf 144 \:\:ft^3\end{aligned}[/tex]

The force needed to keep the cart at rest is 149.022 pounds

Given Data

The force needed to keep the cart at rest is the vertical component of the resultant force, hence we have

Fy = Mg sin θ

Substituting our given data we have

Fy = 200 sin 40

Fy = 200 *0.74511

Fy = 149.022 pounds

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Answer:

128.558

Step-by-step explanation:

Answer:

156,000

Step-by-step explanation:

291 divided by 97 is 3. 52,000 x 3 = 156,000.

Population will be 6 times of present population in 291 years.

The number of people in the city at a particular time is called population of the city.

Present population of the city = 52000

According to the problem, Population doubles in size in every 97 years.

After 97 years, the population = Double of present population

                                                  = 2 × 52000 = 104000

Population in 97 years = 104000

Population in 1 year = [tex]\frac{104000}{97}[/tex]

So, population in 291 years =  [tex]\frac{104000}{97}[/tex]× 291 = 104000×3 = 312000

Population in 291 years from now = [tex]\frac{312000}{52000}[/tex] = 6 times

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Answer:

Step-by-step explanation:

Answer:

triangle D and F

Step-by-step explanation:

triangle D and F are the same as A, just angled differently.

God bless! hope i helped someone, somehow.

Answer:

D,F

Step-by-step explanation:

Answer:

When dissolved, bases release hydroxide ions, OH-(aq) into solution.

Step-by-step explanation:

Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"

Answer: It increases the concentration of OH- in solution.

Step-by-step explanation:

Answer: 432 sq ft.

Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.

Answer: 100 grams

Step-by-step explanation:

Mass remains constant. So 100 grams of water will be 100 grams of water vapor

The expression for the total surface area of rectangle was used, with all values rightly plugged in, the total surface area is 306 in^2

Given Data

We know that the expression used in finding the surface area is given as

Surface area of rectangular prism =2(wl+hl+hw)

Substituting our given data into the formula we have

=2(6*4.5+12*4.5+12*6)

=2(27+54+72)

=2(153)

= 306 in^2

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Answer:

306

Step-by-step explanation:

I didn't know till I saw the other persons answer. Please give them branliest.

Answer:

Rational:2.1,2.2

Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]

Step-by-step explanation:

Trial and error

Answer:

we need more information

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

Let's use section formula ~

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]

And since mid point divides a line segment Into two equal parts, m : n = 1 : 1

so, take m = n = 1

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]

Now, let's find y - coordinate ~

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]

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

[tex]\qquad \sf  \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]

So, coordinates of midpoint is ~

[tex]\qquad \sf  \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]

Answer:

1/2

Step-by-step explanation:

It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!

Answer: the answer is 1 over 2 as a fraction

Step-by-step explanation:

Answer:

Look at the photo.

Step-by-step explanation:

The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.

For the second one you start at the coordinate (0, -2) and then move down two and move right one.

Answer:

Given:

< or > = open circle

≤ or ≥ = closed circle

So we are looking for:

Therefore, the attached is the correct answer.

It's a geometric sequence

Formula:&

[tex]\\ \sf\longrightarrow a(n)[/tex]

[tex]\\ \sf\longrightarrow ar^{n-1}[/tex]

[tex]\\ \sf\longrightarrow 1.3125(4)^{n-1}[/tex]

Answer: 96

Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.

Using it's concept, it is found that there is a 0.625 = 62.5% probability that an individual owns a stock.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 200 graduates, 35 + 90 = 125 of them own stocks, hence:

p = 125/200 = 0.625.

There is a 0.625 = 62.5% probability that an individual owns a stock.

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Answer: 5/3

Step-by-step explanation:

1. 3/x = 5/y

2. Cross multiply

3y = 5x

3. Dividing the sides by 3

y = 5x/3

4. Dividing the sides by x

y/x = 5/3

The equation solved for w is:

w = A/l

The correct option is A.

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Starting with the equation:

A/l = lw/l

We can simplify it by multiplying both sides by l:

A = lw

To solve for w, we need to isolate it on one side of the equation.

We can do this by dividing both sides by l:

A/l = w

Therefore, the required equation is A/l = w.

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We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.

We replaced in : (24-2) x 180 = 3960

So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.

Answer:

The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)

Step-by-step explanation:

Answer: Price of 400 yd of fabric from Manufacturer A is = $7.50 X 400= $3,000. From given graph, we can observe that the charge for 800 yards of fabric is = $6,000

Answer:

[tex]Hi, ~I'm ~beinggreat78,~ and~ am~ here~ to~ help~ you.[/tex]

The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...

[tex]\frac{tan\pi+ tanTheta}{1 - tan\pi * tanTheta}[/tex]

We now have to simplify this expression. Let's do that.

[tex]tan(\pi) = \frac{sin\pi }{cos\pi } = \frac{0}{-1} = 0[/tex]

Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!

[tex]tan(\pi + Theta) = \frac{0 + tanTheta}{1 - 0} = tanTheta[/tex]

With that information, we have solved the problem, your final answer is tanɵ

What have we learned?

The possible number of cupcakes is less than or equal to 23

let

The inequality:

2k ≤ 46

divide both sides by 2

k ≤ 46 / 2

k ≤ 23

Therefore, the possible number of cupcakes is less than or equal to 23

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