Convert 18 inches to feet using the table.
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14 inches convert to feet

The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

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Using right triangle relations, we will get:

We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.

Now remember the relations:

If we step on angle B, we have:

Replacing that, we get:

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Answer:-3, -2, -1/10, -0.8, 0.8, 7

Step-by-step explanation:

To solve this problem, we will use the formula of rectangular prism surface area.

The formula is:

A=2(wl+hl+hw)

A is the area, w is the width, l is the length, and h is the height.

So we will put in all the numbers.

A=2((15)(10)+(8)(10)+(8)(15))

Multiple all the numbers inside:

A=2(150+80+120)

Add all the numbers inside:

A=2(350)

Multiply:

A=700ft^2

Hope this helped!

Answer:

x = -3, y = -8

or (-3, -8)

Step-by-step explanation:

The intersection of the lines is the solution.

Answer:

Step-by-step explanation:

Volume of a sphere is (4/3)πR³

V = (4/3)π(21.6/2)³

V = 5,276.6692.... cm³

whichever value is close to this one.

The volume of the bowling ball shaped like sphere is 5274 cm³

The bowling ball is shaped like a sphere. Therefore, the volume of the bowling ball is the volume of a sphere.

where

r = radius

Therefore,

radius = diameter / 2

r = 21.6 / 2

r = 10.8 cm

π = 3.14

v = 4 / 3 × 3.14 × 10.8³

v = 15821.98272 / 3

v = 5273.99424

v = 5274 cm³

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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Answer:

see explanation

Step-by-step explanation:

To find the first 3 terms substitute n = 1, 2, 3 into the formula

(a)= 25 - (3 × 1) = 25 - 3 = 22 = 25 - (3 × 2) = 25 - 6 = 19= 25 - (3 × 3) = 25 - 9 = 16

The first three terms are 22, 19, 16

Note the difference between consecutive terms is - 3

19 - 22 = 16 - 19 = - 3

Continuing this pattern

(b)16 - 3 = 13 13 - 3 = 10 10 - 3 = 7  7 - 3 = 4  4 - 3 = 1  1 - 3 = - 2

The first negative term is - 2

To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: y=2x+4

You first find slope which is y2-y1 divided by x2-x1 that gives you slope and then you put it into the formula y-y1=m(x-x1)

Answer:

true

Step-by-step explanation:

please mark brainiest

Answer:

\(f^{-1}(y) = \sqrt{x-5}\)

Step-by-step explanation:

You have to switch the f(x) to x and the x's to y's

\(x = y^2 + 5\)

\(\sqrt{x-5} = \sqrt{y^2}\)

\(y = \sqrt{x - 5}\)

Answer:

Hi, I think your question is incomplete. But I'll assume you're asking a party of 5 wants to add a tip of 20% to their total 175 dollars bill, how much do each person needs to pay?

Step-by-step explanation:

Firstly, calculate the percentage: 175 x 20% is 35, so 35 + 175 is 210.

210 ÷ 5 (Num. Of people in party)

Is 42 dollars. Therefore each people need to pay 42 dollars.

According to the Pythagorean theorem, The Answer is Yes the third side is greater than 1 foot.

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

p=1 foot

b=1 foot

\(h^{2} = p ^{2} + b ^{2}\)

\(h=\sqrt {1^{2}+1^{2}}\\=\sqrt 2\\=1.41\\\)

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Answer:

(4) 138

Step-by-step explanation:

23 x 600 /100  = 138

Answer:

4

Step-by-step explanation:

The inequality -3(2x - 5) < 5(2 - x) can be represented -6x + 15 < 10 - 5x which is a number line from negative 3 to 3 in increments of 1

Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1.

In the inequality given, we have;

-3(2x - 5) < 5(2 - x)

This can be simplified as

-6x + 15 < 10 - 5x

If we solve for x in this inequality, we would have

x > 5

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Answer:

3/4

Step-by-step explanation:

you can make it into a fraction just putting it like this 9/12

well 12 - 9 = 3

so we divide by it

9÷3 = 3

12÷3 = 4

lastly you put these as a fraction

3/4

I hope this helps :)

The height of the tree after 6 years can be expressed as "3 feet + 6f feet."

The correct answer is A. 3f + 6 feet.

To determine the current height of the tree in terms of "f,"

let's analyze the given information.

We know that the tree was initially 3 feet tall when it was planted 6 years ago.

Since the tree grows every year, we can assume that its growth rate is consistent.

Let's denote the current height of the tree as "h" (in feet).

After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").

Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."

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Answer:

0.31 ft/s

Step-by-step explanation:

The volume of a cone is given by the formula:

V = πr²h/3

From the question, we are given the diameter and the height to be equal, thus;

r = h/2

Putting h/2 for r into the volume equation, we have;

V = (π(h/2)²h)/3

V = πh³/12

Using implicit derivatives,we have;

dV/dt = (πh²/4)(dh/dt)

From the question, we want to find out how fast is the height of the pile increasing. This is dh/dt.

We have;

dV/dt = 35 ft³/min and h = 12ft

Plugging in the relevant values, we have;

35 = (π×12²/4)(dh/dt)

dh/dt = (35 × 4)/(144 × π)

dh/dt = 0.3095 ft/s ≈ 0.31 ft/s

Answer:

B.

Step-by-step explanation:

-2/3

from the y-intersect (0,0), you went up 2 units(positive) and left 3 times (negative) to get the other points so negative and positive are negative.

Answer:

The first blank is the less than symbol (<)

The second blank is the greater than symbol (>)

Step-by-step explanation:

It looks like you are comparing the left side of the equation to the right side.

If we look at the first unknown, we can multiply out the numbers on the left side to see if it's equal to the right side.

\(2^2 * 4^2 = 64\)

while the right side is this:

\(8^4 = 4096\)

we can see that one side is clearly bigger than the other side. Thus, we would use the less than symbol in this case as 64 is less than 4096:

\(2^2 * 4^2 < 8^4\)

\(64 < 4096\)

We can do the same for the second unknown as well:

\(2^4 * 4^2 = 256\\8^2 = 64\)

In this case, we can see that the left side is bigger than the right side. Thus, we will use the greater than symbol as 256 is greater than 64:

\(2^4*4*2 > 8^2\\256 > 64\)

The matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.

The matrix representing the profit from the sales of book A for each store is as follows:

Store Book A

X $4

Y $4

Z $4

Therefore, the matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).

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Answer:

\( 5.62 + 3.65 + 5.62 + x = 23.59 \)

\( x = 8.7 ft \)

Step-by-step explanation:

Perimeter of the trapezoid-shaped window = sum of all the sides of the window frame

Thus, the equation to find the unknown side length, x, would be:

✔️\( 5.62 + 3.65 + 5.62 + x = 23.59 \)

Solve for x

\( 14.89 + x = 23.59 \)

Subtract 14.89 from each side

\( 14.89 + x - 14.89 = 23.59 - 14.89 \)

✔️\( x = 8.7 ft \)

The surface area of the sphere is 113 square cm

The radius is given as:

r = 3 cm

The surface area is calculated as:

\(A = 4\pi r^2\)

So, we have:

\(A = 4\pi * 3^2\)

Evaluate the product

A = 113

Hence, the surface area of the sphere is 113 square cm

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Answer: 113

Step-by-step explanation: SA formula is = 4*pi*r^2, input our own values into that, and we get 4*3.14*5^2 = 113.04, round down, and you get 113

Answer:

Anything??

Step-by-step explanation: (Im joing btw didnt want to offend anyone lol)

x=40

Answer:

30 % Im pretty sure

Hope This Helps

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)