Adam will fly his rocket kite in a kite-flying competition. The kite has the dimensions shown.
What is the area of the kite?

A 576 square inches

B 674 square inches

C 720 square inches

D 864 square inches

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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Answer:

\( 350 = 2 \times 5 \times 5 \times 7\)

Step-by-step explanation:

\(350 = 2 \times 5 \times 5 \times 7\)

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer:

7 quarts = 28 cups 10 cups = 2.5 quarts

Answer:

28 cups

Step-by-step explanation:

Answer:

1. using the distributive property, the two-thirds would be multiplied to 14x and to –3. 2. combining four-fifths + 5 can be done before multiplying it by 3x. 3. subtracting 3x is the same as adding –3x. (A, B, & E)

Step-by-step explanation:

just finished this lesson lol

Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.

Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.

An expression is a mathematical statement consisting of variables, constants, and mathematical operators.

The expression is

\(\rm \dfrac{2}{3} (14x -3) - 3x( \dfrac{4}{5} +5)\)

Applying Distributive Property

\(\rm \dfrac{2}{3} * 14x - \dfrac{2}{3} *3 - 3x * ( \dfrac {4 + 25}{5})\)

Therefore, Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.

Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.

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Answer: y=6x-1

Step-by-step explanation:

y=6x-1

x represents the time luke has been riding(hours) and the y represents the distance he has travelled (miles)

Answer:

$55.30

Step-by-step explanation:

you multiply the cost of gas by howmany times he has bought gas.

Answer:

\( c = 25\)

Step-by-step explanation:

Given :-

And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,

Identity :-

\(\implies (a+b)^2=a^2+b^2+2ab\)

Let's try to set the equation on this Identity .

The firsr term is 9x² . We can write it as ,

\(\implies 9x^2=(3x)^2\)

Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .

\(\implies 30x = 2.3x.5 \)

Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,

\(\implies 9x^2+30x + 5^2 \\\\\implies (3x)^2+2.3x.5 +5^2\\\\\implies (3x+5)^2\)

Hence the value of c should be 25 .

8 = 2/3(x - 4)^2

Take the sqrt of both sides

Sqrt(8) = 2/3(x - 4)

Divide each side by 2/3

(3 * sqrt(2)) = x - 4

Add 4 to both sides

(3 * sqrt(2)) + 4 = x

The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.

To write the equation for calculating the yearly interest earned on an investment, we can use the formula:

Interest = Principal * Rate

Where:

- Principal is the initial investment amount.

- Rate is the interest rate expressed as a decimal.

In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:

Rate = 16% = 16/100 = 0.16

Substituting the values into the equation:

Interest = $750 * 0.16

To calculate the interest, we multiply the principal by the interest rate:

Interest = $750 * 0.16 = $120

Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:

Interest = $750 * 0.16

Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.

Year | Initial Investment | Interest Earned | Total Value

---------------------------------------------------------

 1        $750                 $120              $870

 2        $870                 $139.20          $1009.20

 3        $1009.20            $161.47          $1170.67

 4        $1170.67            $187.31          $1357.98

 5        $1357.98            $217.28          $1575.26

In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.

The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.

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The remaining zeros of Degree of f will be = -5 and 4i

According to the given question,

We can see that the given degree is = 3

∴ This means that there are 3 roots ( zeros )

We can conclude from the above statement that,

The number of roots = The degree that is given in the question.

For example, if the question gives the degree = x

Then the roots will also be = x

This question follows the complex conjugate root theorem,

This theorem states that the if there are complex roots with real coefficients then the root of its polynomial, will also be its complex conjugate.

The resultant conjugate of,

⇒ 5 = -5

⇒ -4i = +4i

Therefore, the remaining zeros of Degree of f will be = -5 and 4i

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Answer:

10x + 2

Step-by-step explanation:

lim f(x + h) - f(x) / h = f'(x) = (5x² + 2x)' = 10x + 2

h→0

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

a. To convert euros to U.S. dollars, multiply the amount in euros by the exchange rate of 1 euro to U.S. dollars. If the average price of gasoline is h euros per liter, then the equivalent amount in U.S. dollars is h * 0.90 USD/EUR. If the average price of gasoline is h euros per liter, then the equivalent amount in U.S. dollars is h * 0.90 USD/EUR = h * 0.90 * 1.1096 USD/EUR = h * 0.99 USD/EUR.

b. To convert liters to gallons, divide the number of liters by 3.78541. If the average price of gasoline is h euros per liter, then the equivalent rate in U.S. dollars per gallon is (h * 0.90 USD/EUR) / 3.78541 USD/gallon. If the average price of gasoline is h euros per liter, then the equivalent rate in U.S. dollars per gallon is (h * 0.99 USD/EUR) / 3.78541 USD/gallon = h * 0.99 / 3.78541 EUR/gallon = h * 0.26172 USD/gallon.

Hope this can help you!

Answer:

Height= 8341.6 feet

Step-by-step explanation:

A surveyor determined the height of the new summit by measuring the angle of elevation to the top to be 37°46'. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40°30'.

40°30'= 40.5°

37°46'= 37.767°

b = 180-40.5

b= 139.5°

a= 180-139.5-37.767

a= 2.733°

Using sine method

1000/Sina= y/sinB

1000/sin 2.733= y/sin 139.5

(1000*sin 139.5)/sin 2.733= y

(1000*0.6494)/0.04768= y

13619.96= y

Y= 13620 feet

Height/sin 37.767= 13620

Height=13620*sin37.767

Height= 8341.59

Height= 8341.6 feet

Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

Answer:no idea

Step-by-step explanation:

Answer:

Step-by-step explanation:

your mom

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

  1, -5, 6

Step-by-step explanation:

The coefficient in the term x^2 is 1.

The coefficient in the term -5x is -5.

The constant can also be referred to as a coefficient: 6.

__

The coefficients of a quadratic expression are often referred to as a, b, and c.

  ax^2 +bx +c

Then, for your quadratic, a=1, b=-5, c=6.

Answer:

The area of their bases are equal.

Step-by-step explanation:

The formula for the volume of a cone and a pyramid is

1/3 pi* area of base * height

So if the heights are the same then the areas of the bases must also be the same.

Answer:

Step-by-step explanation:

By the triangle angle-sum theorem, all the angles of a triangle have to add up to equal 180°.  Thus,

72° + 5x° + x° = 180° and

72° + 6x° = 180° and

6x° = 108° so

x = 18°

The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

(-8,5) (-12,-11)  (1-1) (-2,-4)

The domian is the set of the input values

Using the ordered pairs as a guide, we have

Domain = {-8, -12, 1, -2}

For the range, we have

The range is the set of the output values

So, we have

Range = {5, -11, -1, -4}

Hence, the range is  {5, -11, -1, -4}

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Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

A cluster is a small group of dots close together. An outlier is a single dot far away from the rest of the dots.

The above graph has a small cluster around y 6&7 and has an outlier at (9,5)

The answer should be D.

Answer:

The correct answer is D. This scatter plot has one cluster and one outlier.

Step-by-step explanation:

From looking at the scatterplot, the majority of the points are collected on the upper left side of the coordinate grid, creating a cluster.  This just means that these data points are located close to one another.

If we continue to look at the scatterplot, we can see that there is one data point at approximately (9, 5.25) that is very far from the other data points.  This point is considered to be an outlier because it does not follow the general trend of the other data points and changes the data analysis significantly if included in the calculations.

Hope this helped!

Answer:

x = 1 (?)

i dont rlly know

Answer:

friend me on here and imma send you the link Step-by-step explanation: