What % of 539 = 1,002.54

Answer:

Y = -128

Step-by-step explanation:

X is 36

The area that will be painted grey is approximately 38 ft².

The circumference of the free-throw circle is given as 30.77 feet, and we know that the free-throw circle is a perfect circle. We can use the formula for circumference to find the radius of the circle, which will be necessary to calculate its area.

Circumference of a circle = 2πr

30.77 = 2 x 3.14 x r

r = 30.77 / (2 x  3.14) = 4.9 feet

Half of the circle will be painted grey. Find the area of half the circle using the formula for the area of a circle.

Area of a circle = π x r²

Area of half the circle = 0.5 x  π x r²

Area of half the circle = 0.5 x 3.14 x 4.9²

Area of half the circle = 37.73 ft²

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Expression used for area of a rectangle is 12x² + 74x + 44 .

Its degree and classification is 2 and quadratic

and demonstration of a closure property is given by product of a polynomial is a polynomial.

Length of the rectangle = (6x + 4) units

and Width of the rectangle = (2x + 11) units.

The area of the rectangle is given by the product of its length and width,

Area = (6x + 4) × (2x + 11)

Find the product,

⇒ Area = 6x × 2x + 6x × 11 + 4 × 2x + 4 × 11

Simplifying this expression, we get,

⇒ Area = 12x² + 74x + 44

The expression that represents the area of the rectangle is 12x² + 74x + 44.

The degree of the expression 12x² + 74x + 44 is 2,

since the highest power of x is 2.

The classification of this expression is quadratic.

Part A demonstrates the closure property for polynomials because the product of two polynomials is also a polynomial.

Here, the area of the rectangle is the product of two polynomials (6x + 4) and (2x + 11).

And the result is also a polynomial (12x² + 74x + 44).

This shows that the set of polynomials is closed under multiplication.

Which is one of the defining properties of a mathematical system.

Therefore, the expression for area of a rectangle is (12x² + 74x + 44) ,

Degree and classification is 2 and quadratic and closure property is demonstrate by product of a polynomial.

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Answer: 408 yards.

Step-by-step explanation: The formula to use to find the area of a rectangle is to multiply the length by the width.

A quadrilateral with one pair of parallel side is a D) Trapezium

Given :

A quadrilateral with one pair of parallel side is.

we know that ,

Trapezium :

A trapezium is a convex quadrilateral with exactly one pair of opposite sides parallel to each other.

The trapezium is a two - dimensional shape that appears as a table when drawn on a sheet of paper.

In Euclidean Geometry, a quadrilateral is defined as a polygon with four sides and four vertices.

so a trapezium also has four sides, four angles and four vertices.

Area of trapezium = 1/2 * ( a+ b ) h

where a and  b are bases

and h is height of altitude.

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Step-by-step explanation:

Question 1

See the attached

This is a right triangle with different sides. Correct option is A, confirmed visually.

Question 2

Answered previously

Question 3

Answered previously

Question 4

Answer:

162

Step-by-step explanation:

to find the surface area of the rectangles do base x height

5 x 10 = 50

there are 3 sides on a triangle so do 50 x 3 = 150

now we need to find the area of the triangles

the formula for the surface area would be base x height ÷ 2

3 x 4 = 12

12 ÷ 2 is 6

because there are 2 triangles you would need to multiply it by 2

6 x 2 is 12

add it all together

12 + 150 is 162

Answer:

Step-by-step explanation:

(3x - 1)(3x - 4) = 9x^2 - 15x + 4

(x + 2)(9x^2 - 15x + 4) = 9x^3 - 15x^2 + 4x + 18x^2 - 30x + 8

9x^3 + 3x^2 -26x + 8 is the solution

Answer:

(0,2)

(3,0)

Step-by-step explanation:

Answer:

Number of Brownies sold.

Step-by-step explanation:

Each brownie is $4.50 each after he were to add the money he makes from selling, then he would take the money out for ingredients.

Hope this helps.

Answer:

251.6° F

Step-by-step explanation:

F = (9/5)C + 32

F = (9/5)122 + 32

C = 219.6 + 32

C = 251.6

Answer: 251.6° F

Answer:

It is the y=intercept

Step-by-step explanation:

Because if there is no x-value and there is a Y-value,  y-intercept

Answer:

I think it is a Minimum or Maximum

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The product of secant lengths to the near and far circle intercepts is the same for both secants:

  3 · (3+5) = 4 · (4+x)

  24 = 4(4 +x) . . . . simplify

  6 = 4 +x . . . . . . . .divide by 4

  2 = x  . . . . . . . . .  subtract 4

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

How many of what?

Step-by-step explanation:

After 106 minutes, the amount of the iodine left is:

R = 54,544g/4 = 13,636 grams

For a radioactive element, the half-life is the time in which the initial amount of the element is reduced to its half.

Here the half-life is 53 minutes, then 106 minutes is equivalent to two half-lifes.

This means that after that time, the amount of the iodine is reduced to its half two times (so its reduced to a fourth of the initial amount).

Here the initial amount is 54,544 grams, so after 106 minutes we will have:

R = 54,544g/4 = 13,636 grams

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Complete question is;

Suppose that a dimension x and the area A = 2x² of a shape are differentiable functions of t. Write an equation that relates dA/dt to dx/dt.

Answer:

Step-by-step explanation:

Since A = 2x²

Let's differentiate both sides with respect to x.

dA/dx = 4x

Now, we want to find the relationship between dA/dt and dx/dt

dA/dt can be expressed as;

(dA/dt) = (dA/dx) × (dx/dt)

Thus;

dA/dt = 4x(dx/dt)

Thus, the equation that relates dA/dt to dx/dt is;

dA/dt = 4x(dx/dt)

 The equation that relates dA/dt to dx/dt  is dA/dt=4x(dx/dt).

The question is looks like incomplete question

Complete question is;

Suppose that a dimension x and the area A = 2x² of a shape are differentiable functions of t. Write an equation that relates dA/dt to dx/dt.

We have given that the xis dimension and  A = 2x²

Differentiation  means the rate of change of area with respect to x.

differentiate both sides with respect to x so we get,

\(\frac{dA}{dx} = 4x\)

Now, we want to find the relationship between \(dA/dt\) and \(dx/dt\)

\(dA/dt\) can be expressed as;

\(\frac{dA}{dt} =\frac{dA}{dx} \times \frac{dx}{dt}\)

\(dA/dt = 4x(dx/dt).....(Since, dA/dx=4x)\)

Thus, the equation that relates \(dA/dt\) to\(dx/dt\) is;

\(dA/dt = 4x(dx/dt)\)

Therefore from the given  the equation is dA/dt=4x(dx/dt).

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The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

1/12

Step-by-step explanation:

The probability of rolling a die and landing it on heads is 1/2 percent. Flipping the coin another time and landing it on heads is 1/4 percent because you need to multiply when doing probabilities, so 1/2 times 1/2 equals 1/4.

Now moving on, rolling a 6 sided die and getting either a 1 or 6 is 1/3 percent because 1 and 6 are two different numbers you can roll so it's 2/6, and when it's simplified, it's 1/3.

After doing that, to find the probability of the whole equation, you would need to multiply 1/4 times 1/3 which would give you 1/12 as your answer.

1. The rate that Brand A is selling for is A) 10-unit rate.

2. The unit rate of Brand A is $0.10 per pound.

The unit rate refers to the variable cost per unit or the quotient of a division operation.

The unit rate shows a value's ratio in relation to another.

To compute the unit rate, we can use the division operation that makes the denominator the dividend, which is divided by the numerator (or divisor).

The quantity in Brand A = 20 pounds

The quantity in Brand B = 60 pounds

Cost of Brand A = $2

Cost of Brand B = $5

The unit rate for Brand A = $2/20 = $0.10, which can also be expressed as 10 units for $1 (20/$2).

Likewise, the unit rate for Brand B = $5/60 = $0.83, which we can describe as 12 units for $1 (60/$5).

Thus, we can conclude that the rate at which Brand A is selling is Option A.

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Answer Options:

A) 10-unit rate

B) 12-unit rate

C) 9-unit rate

D) 8-unit rate

Answer:

c

Step-by-step explanation:

a: 0.88 ÷ 4 = $0.22 per ounce

b: 1.05 ÷ 5 = $0.21 per ounce

c: 1.6 ÷ 8 = $0.1875 per ounce

d: 2.28 ÷ 12 = $0.19 per ounce

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)

Answer:

Step-by-step explanation:

0.41

Answer:

72.017

Step-by-step explanation:

Rounded to the nearest hundredths: 72.02

Answer:

72.017

Rounded: 72.02

Step-by-step explanation:

72.017

7 is greater than 5 so you would add one to the next number

72.02

since 2 is less than 5 it can't round any farther, unless you are rounding it until it's a whole number (which obviously as asked in the question you aren't) if you were to round it to a whole number then it would be just 72.

One of the most important things to remember is that 5 or greater you add one more but 4 or less you, well you don't add anything to the next number lol

The answer to your question is 72.02 since that is how far you are able to round without going past the hundredths place.

If 3 and 4 are the legs of a right triangle, the hypotenuse is 5.

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

The theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, sometimes called the Pythagorean equation

\(\sf a^2+b^2=c^2\)

Given the question above, we need to find the hypotenuse if 3 and 4 are the legs of a right triangle.

So,

\(\sf a^2+b^2=c^2\)

\(=\sf 9+16=25\)

\(\sf \sqrt{25}=5\)

Hence, the hypotenuse is 5 if 3 and 4 are the legs of a right triangle.

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