A. 30.28 square feet
B. 24.28 square feet
C. 36.56 square feet
D. 30.56 square feet

Answer:

X    Y

0    0

2   -3

Step-by-step explanation:

The slope should look like this photo.

Answer:

y = 2

Step-by-step explanation:

If x = -2, what is y = ?

When x = -2 the line crosses the y axis at 2, so y = 2

The equation of a circle centered at the origin that has a radius of 8 is: D. x² + y² = 64.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

Substituting the given points into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = 8²

x² + y² = 64.

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The number of boxes of donuts he can buy is 3.

An expression contains two variables or numbers with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

A box of dozen donuts costs = $6.50

Amount taken = $25

The number of boxes of donuts he can buy.

= 25 ÷ 6.50

= 3.85

Thus,

The number of boxes of donuts he can buy is 3.

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The volume of the rectangular pyramid is 64 cubic feet.

A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.

The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.

The volume of a rectangular pyramid is given as:

V = (l)(b)(h) / 3

V = (6)(8)(4) / 3

V = 192 / 3

V = 64 cubic feet.

Hence, the volume of the rectangular pyramid is 64 cubic feet.

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The correct question is:

The slope of the line passing through the points (8, -4) and (8, -7) is undefined.

The slope of the line passing through the points (-3, -9) and (-3, 9) is undefined.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (-7 - (-4))/(8 - 8)

Slope, m = (-7 + 4)/0

Slope, m = -3/0

Slope, m = undefined.

Since the change in the x-axis equals to zero, the slope of the two lines are undefined:

Slope, m = (9 - (-9))/(-3 - (-3))

Slope, m = 18/0

Slope, m = undefined.

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A division problem that would lead to a division remainder of 400 is 2, 400 ÷ 500.

You need to find a division problem where the quotient would be such that there would be a remainder of 400.

In that case, the first thing to do is to ensure that the divisor is greater than 400. If it is less, then the remainder cannot be 400.

We can the pick the next hundred after 400 which would be 500. Then, we need to find a number that when divided by 500, would result in 400 as a remainder.

This can be 900, 1, 400, 1, 900, 2, 400 etcetera.

The trick is to ensure that the number is 400 more than a multiple of 500.

Picking 2, 400, the division is therefore:

= 2, 400 ÷ 500

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Answer: approximately 40lbs.

Step-by-step explanation:

First, you multiply 20kg to 10%, or 0.10.

20(0.10)=2kg

Then you minus the 2kg from the initial weight

20kg

-2kg

18kg

1 kg is approximately 2.20462262 lbs., so you need to convert your kg to lbs

18kg * 2.20462262 lb/kg = 39.68320716 which is rounded up to approximately 40lbs

Hope that helps!

Answer:

Step-by-step explanation:

Rational numbers are numbers that can be written in the form pq, where p and q are integers and q≠0. The difference between rational numbers and fractions lies in the fact that fractions cannot have negative numerator or denominator.

so, yes.

If I am equivalent to 3/2, and sum of my numerator and my denominator is 30. Then, i am a fraction is equals to the 18/12.

I am equivalent to 3/2. Let us assume i am a fraction x/y. That is my denominator of fraction = y

My numerator of fraction = x

Now, according to problem, sum of my numerator and my denominator is 30.

=> x + y = 30 --(1)

Also, difference between my denominator and my numerator is 6.

=> y - x = 6 or -y + x = 6 --(2)

Add eqution(1) and (2)

=> x + y + y - x = 30 + 6 or x + y +x - y = 30 + 6

=> 2y = 36 or 2x = 36

=> y = 36/2 or x = 36/2

=> y = 18 or x = 18

Now, when y = 18 => x = 30 - 18 = 12

similarly, x = 18 , => y = 12

so, possible fraction are 12/18 = 2/3 or 18/12 = 3/2, but my fraction is equivalent to 3/2 not 2/3. Therefore, the required fraction is 18/12

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Complete question :

I am equivalent to 3/2 . The sum of my numerator an my denominator is 30 . The difference between my denominator and my numerator is 6 . What fraction am I?

Answer: The final balance is $11,015.84.

The total compound interest is $3,845.84.

Answer:

Step-by-step explanation:

To find the height of the rocket, we can use the tangent function. We know the angle of elevation (75°), the height of Homer's eyes (1.8 meters), and the distance from Homer to the rocket (8 meters), so we can use the formula:

tan(angle) = height / distance

We'll solve for the height:

height = distance * tan(angle)

height = 8 * tan(75°)

However, we need to convert the angle from degrees to radians first, as the tangent function operates in radians. We can use the formula:

radians = degrees * (π / 180)

radians = 75° * (π / 180) = 1.309 radians

Now, we can substitute the value for the angle in radians back into the original equation:

height = 8 * tan(1.309)

Using a calculator, we can find that the height is approximately 15.57 meters.

So, the height of the rocket is approximately 15.57 meters.

Answer:

Step-by-step explanation:

The tide over a 24-hour period can be modeled by a sinusoidal function of the form:

f(x) = A * sin(Bx) + C

where A is the amplitude, B is the frequency, and C is the vertical shift.

To determine the values of A, B, and C, we need three points. Let's use the following points:

(0, 5): This is the value of the tide at midnight, 5 ft.

(12, 9.5): This is the value of the tide at its high, 9.5 ft.

(6, 0.5): This is the value of the tide at its low, 0.5 ft.

Using the first point (0, 5), we can calculate the vertical shift, C:

C = 5

Using the second point (12, 9.5), we can calculate the amplitude, A:

A = (9.5 - 5) / 2 = 2.25

Using the third point (6, 0.5), we can calculate the frequency, B:

0.5 = 2.25 * sin(B * 6) + 5

4.5 = 2.25 * sin(B * 6)

2 = sin(B * 6)

B * 6 = sin^-1(2)

B * 6 = pi / 2

B = pi / (2 * 6) = pi / 12

So, the final equation is:

f(x) = 2.25 * sin(pi * x / 12) + 5

This represents one period of the sinusoidal function that models the tide over a 24-hour period, with time x measured in hours since midnight.

Square , triangle and hexagon are  the type of regular polygons that surround each vertex.

The angles are 60° , 90° , 90° , 120° .

From the given figure , it can be concluded that ,Square , triangle and hexagon are  the type of regular polygons that surround each vertex.

Since , at each vertex they are one triangle , two squares and one hexagon therefore we can say that

The number of angles are 60° , 90° , 90° and 120°.

The tessellation is possible because the sum of measures of all angles that come together at the vertex is 360°

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Answer: Scalene Right

Step-by-step explanation:

None of the side lengths are equal and there's a 90 degree angle

Answer:3/a-6

Step-by-step explanation:

The value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex] is 107/28.

A fraction represents a part of a whole.

The given expression is [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

A proper fraction is a fraction that has no whole number part and its numerator is smaller than its denominator.

An improper fraction is a fraction that has a larger numerator than denominator and it represents a number greater than one.

[tex]14\frac{1}{4}[/tex] to improper fraction is 57/4

[tex]10\frac{3}{7}[/tex] to improper fraction is 73/7

Now 57/4-73/7 we have to solve

LCM of 4 and 7 is 28

399-292/28

107/28

Hence, 107/28 is the value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]

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Answer:

x[tex]\geq[/tex] 3

Step-by-step explanation:

-4x -2 ≤ -14
-4x ≤ -12
x ≥ 3

A customer has 4 x 2 x 3 = 24 different car models to choose from if the customer can choose one type of audio system, one style of roof, and one type of seat cover.

The sample space for pulling 2 marbles  to find the probability will be List 3.

Probability conveys how likely an event is to occur. The occurrence of a random event is the focus of this mathematical field of study. The value is in the zero to one range. Mathematicians use probability to predict the likelihood that certain events will take place.

The possibility of something happening is referred to as probability. The probability distribution also utilises this basic concept from probability theory. We must first ascertain the total number of possibilities before calculating the likelihood of a specific event.

The proportion of favourable outcomes to all possible outcomes, or P(E), determines the likelihood that an event will take place.

Now,

Given that Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.

So no. of ways to pick first ball = 3

as there are three type of balls

and no. of ways to pick second ball= 3 as replacement is allowed.

Therefore total sample space = 3*3=9

Hence,

         The sample space for pulling 2 marbles will be List 3.

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Answer:

Below

Step-by-step explanation:

5.2 * .83     second

(5.2 * .83) * .83   =    5.3 * .83^2     third

.

= 5.2 ( .83)^4        Fifth   = 2.468 ft

Step-by-step explanation:

you draw a circle ⭕ then you do lines inside the circle the you write the numbers aside

The exact measure of an angle whose measure is 18° in radians is; pi over 10.

Recall, it follows from angle measurements that;

π radians ==== 180°

Hence, it follows from proportion that the measure of 18° in radians, x can be determined as follows;

x = 18 π radians / 180

x = π / 10 radians.

Ultimately, the required measure of 18° in radians as required is; π / 10.

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Nicholas will earn a commission of

Nicholas will earn a commission of 4% on the total price of the two cars sold to Mr. Sherman.

The total price of the two cars is $33,500 per car, so for two cars, the total price would be

= $33,500 * 2

= $67,000.

Therefore, Nicholas will earn a commission of 4% of $67,000

= $67,000 * 0.04

= $2,680.

hence, Nicholas will earn $2,680 in commission for selling the two cars to Mr. Sherman.

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Luego de el 15% de iva, el precio será 9001.51

Si le aplicamos un incremento de un porcentaje x a un precio P, entonces el nuevo precio será:

P' = P*(1 + x)

Donde x es el porcentaje en forma decimal.

En este caso tenemos un 15% de IVA, entonces x = 0.15

Y el precio original es 7827.40

Entonces el nuevo precio será:

P' = 7827.40*(1 + 0.15) = 9001.51

Esa es la cantidad que Luis pago.

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An area of a rectangle is 32x¹²y⁹ square inches and the length is 8x⁴y³ therefore the expression which represents the width of the rectangle in inches is 4x⁸y⁶.

This is referred to as a quadrilateral with four right angles.

Area of rectangle = Length × width

Width = Area/ Length

       =   32x¹²y⁹  /  8x⁴y³

        = 4x⁸y⁶

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Answer:

D.666 cubic centimeters

Step-by-step explanation:

Volume of cylinder is 3 time the volume of cone of the same radius.

Volume of cylinder= πr²h

Volume of cone = 1/3 x πr²h

On solving the provided question, we can say that the function is

and f(-2) = -13 and f(0) = 3

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

the function is

= 3 -  4(4)

= 3 - 16

=-13

= 3 - 4(0)

= 3 - 0

= 3

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Answer:

It would be C.

Step-by-step explanation:

It would be C.

JKP, the smaller triangle, needs to be turned into J'K'P' to show proof the the triangles are similar. So the first thing you would have to do, because J'K'P' is exactly 2 times bigger than JKP, is multiply the x and the y by 2. However, this shifts the triangle, and we need the triangles to overlap to prove they are also the same size. So comparing the x and y values after we increase the sides of JKP, we would see we need to subtract the x value by 3, and the y value by 2.