A kite flying in the air has an 86-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 53°. Find the height of the kite.
Round your answer to the nearest tenth.

The conversion factor for converting ounces ( oz) to grams ( g) is 28.3495. Thus, the conversion of one ounce to grams is equals to the 28.3495 g.

In order to convert from one unit to the other, we multiply by the conversion factor. One ounce is approximately equal to 28.3495 grams. Ounce is one of the imperial units of mass, while gram is one of the metric units of mass. Thus to convert from ounces to grams, it is required to multiply the ounce-value by 28.3495. Conversly, if we want to convert from grams to ounces, we need to divide the gram-value by 28.3495. For example, if we want to convert x ounces to grams, we would follow the following steps:

Now, we have to convert 1 ounces to grams. That is x = 1 ounces then final result of conversion is

28.3495×1 = 28.3495 grams. Hence, required value is 28.3495 grams.

For more information about conversion factor, visit :

https://brainly.com/question/23718955

#SPJ4

With regards to the probabilities of getting each color in the game played by Larry and Jessica, the correct answer is B. No, the probabilities are NOT equally likely.

In the game being played by Larry and Jessica, the colors that can be picked by either person include:

The probability of picking blue is:

= Number of blue sections / Total sections

= 3 / 8

The probability of picking red is :

= 3 / 8

The probability of picking green is:

= 2 / 8

= 1 / 4

The probabilities are therefore not equally likely.

Find out more on probabilities at https://brainly.com/question/28109373

#SPJ1

Answer:

Step-by-step explanation:

Step 1: Draw a line from the vertex of the angle to the given point on the x-axis.

Step 2: Draw a line from the given point to the point on the y-axis where the angle intersects the y-axis.

Step 3: Calculate the length of the line segment created in Step 2. This will be x.

Step 4: Calculate the measure of angle 0 by using the given measure of angle and the length of x. This will be 0 degrees.

The mass of the yogurt is 99 grams.

A ratio is a numerical relationship showing how often one value includes or is included inside another. It is used to compare two numbers.

Given:

A dessert contains yogurt and fruit inside.

The total mass of the dessert = 165 grams.

And the ratio of the mass of fruit to the mass of yogurt is 2 : 3.

Let the mass of the fruit is 2x and the mass of the yogurt is 3x.

So, 2x + 3x = 165

5x = 165

x = 165/5

x = 33

The mass of the yogurt is 33(3) = 99 grams.

Therefore, the required mass is 99 grams.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ9

Answer:

18. Two real solutions

Step-by-step explanation:

Q 18

For a quadratic equation in standard form i.e. ax² + bx + c = 0

the discriminant is given by b² - 4ac

If the discriminant is 0, there is one real solution

If the discriminant is positive, there are two real solutions

If the discriminant is negative , there no real solutions

The given equation is:
x² - 8x = -14

Adding 14 to both sides

=> x² - 8x + 14 = 0

Comparing to the standard equation, we see

a = 1, b = -8, c = 14

Discriminant b² - 4ac = (-8)² - 4 x 1 x 14
= 64 - 56

= 10

Since discriminant is positive, there are two real solutions

The point (if it exists) at which the following plane and line intersect: x=11;r(t)==11; for −[infinity] will be (11, t, 11)

We are given the equation of a plane and a line, but we need more information to determine if and where they intersect. Specifically, we need the equation of the plane in the form Ax + By + Cz = D, and we need the parametric equation of the line in the form x = x0 + at, y = y0 + bt, z = z0 + ct, where (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector of the line.

Assuming that the equation of the plane is of the form Ax + By + Cz = D and the parametric equation of the line is of the form x = 11, y = t, z = 11 for all real numbers t, we can proceed as follows:

1. Substitute the parametric equation of the line into the equation of the plane to get an equation in t:

A(11) + B(t) + C(11) = D

2. Solve for t:

t = (D - A(11) - C(11)) / B

3. Substitute the value of t into the parametric equation of the line to get the point of intersection:

(11, t, 11)

This calculation assumes that the line and plane intersect at a single point. If the line is parallel to the plane, it may not intersect at all, or it may intersect in a line or a plane.

For more questions on Planes

https://brainly.com/question/16983858

#SPJ4

The summation notation calculator is a instrument is frequently referred to as a sigma notation calculator since it makes it simple to calculate the sum of a set of integers, also known as Sigma.

The consecutive addition of a group of numbers is known as a summation. One of the four fundamental arithmetic operations, along with subtraction, multiplication, and division, is addition. For a few numbers, particularly integers, it is easy to do, but with fractions and real numbers, it can be more difficult. This is where our summation calculator might be useful. The numbers can be manually entered or copied and pasted, separated by any non-numerical sign, with the exception of the minus and dot. There are shortcuts for computing the sums of particular sequences.

The lower and upper bounds, a mathematical formula to be used to compute each member of the sum series, and lastly the name of the variable to be used in the sigma expression must all be entered in the "Sigma notation" mode.

Learn more about Summation notation:

https://brainly.com/question/15973233

#SPJ4

Answer: 1kg

Step-by-step explanation:

Answer:

almost 4.5g

Step-by-step explanation:

Hope this is the answer you are looking for

Answer:

Step-by-step explanation:

An equilateral right-angled triangle is impossible to draw. Equilateral means all the sides measure the exact same length. In a right triangle, by definition, the hypotenuse is longer than either of the other sides. so the last choice is the one you want.

Answer:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

Step-by-step explanation:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

The value of cups of water in milliliter can be calculated by simply divide the volume by 236.6 so 150 milliliters can be 0.634 US cups.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Divide the millilitre volume by the cup size to convert 150 mL to cups: The formula to convert 150 mL to cups is [cups] = 150 / cup size. Following are the outcomes as a result:

Cups to 150 mL =

Please take note that these 150mL to cups conversion figures have been adjusted to five decimals. If you're unsure which cup unit you have, you can find further details on our main page.

In any event, you must first determine the size of your cup before applying the formula or using our converter, which can change any volume, to convert 150mL to cups.

Learn more about Milliliter to Cups:

https://brainly.com/question/30400210

#SPJ4

The estimated product is  6000

What is estimation?

To make calculations simpler and more realistic, estimation of a number refers to a plausible assumption of the actual value.

Estimation is the process of approximating a quantity with the necessary accuracy.

The result is quickly and roughly determined by rounding off the numbers used in the calculation.

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.

598 ≈ 600

9≈ 10

600*10

= 6000

The estimated product is  6000

To learn more about estimation from the link

https://brainly.com/question/28416295

#SPJ1

The conversion of 3/2 as a decimal is 1.5.

To convert a fraction to a decimal, you can divide the numerator (the top number) by the denominator (the bottom number) using long division, a calculator, or by using a decimal equivalent chart. It's important to note that some fractions have repeating decimals or do not terminate, such as 1/3 or 7/11. In those cases, the decimal representation is either an infinite non-repeating decimal or a repeating decimal.

To convert a fraction to a decimal, you simply divide the numerator (the top number) by the denominator (the bottom number).

So, to convert 3/2 to a decimal, we can perform the following division:

3 ÷ 2 = 1.5

Therefore, 3/2 as a decimal is equal to 1.5.

To learn more about decimal here:

https://brainly.com/question/29765582

#SPJ4

The correct choice is: If A is the given matrix then the augmented matrix presents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore the columns of A do not form linearly independent set.

To determine if the columns of the matrix form a linearly independent set, we can perform row reduction on the matrix and examine the resulting reduced row echelon form.

The given matrix is:

[0  3  9]

[2 -7 -1]

[1 -4 -2]

[0  3   9]

[2 -7  -1]

[1 -4  -2]

R2 = R2 - 2R1

R3 = R3 - R1

[0  3   9]

[2 -7  -1]

[1 -4  -2]

R2 = R2 + 7/3 R3

[0  3   9]

[2  0  20/3]

[1 -4  -2]

R1 = R1 - 3/2 R2

R3 = R3 + 4R2

[0  3   0]

[2  0  20/3]

[1  0  2/3]

R1 = R1 / 3

R2 = R2 / 2

R3 = R3 / 3

[0  1   0]

[1  0  10/9]

[1  0  2/9]

The resulting reduced row echelon form shows that the third column is a linear combination of the first and second columns. Specifically, column 3 can be expressed as:

(2/9)*column 1 + (10/9)*column 2 = column 3

Since the third column can be expressed as a linear combination of the first and second columns, the columns of the matrix do not form a linearly independent set.

Therefore, the correct choice is:

If A is the given matrix then the augmented matrix presents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore the columns of A do not form linearly independent set.

Learn more about echelon form here https://brainly.com/question/30464624

#SPJ4

If a p-series is 1 np, you can determine if it converges or not. It converges when p > 1. This is how you test a P series convergence.

The situation diverges if the terms are not close to zero. If you are able to fully control a well-known divergent series with the series, it diverges. To determine if a p p -series is converging or diverging, one can apply the p p -series test. If the denominator's power satisfies p>1 p > 1, the series converges; otherwise, it diverges.

A sequence's convergence can be checked using a variety of techniques. We only need to know the sequence's limit at n n to infinity in some cases. If a series of absolute values P |an| is convergent, the series P an is said to be absolutely convergent.The Geometric Series test is the opposite of the P-Series test in that it requires us to locate a variable raised to a number. We are trying to find a raised number that is a variable!

Learn more about P series convergence at

https://brainly.com/question/29680803

#SPJ4

Answer:

1750

Step-by-step explanation:

Answer:

Step-by-step explanation:

the anser is g(x)=1half5 xto the 2nd power

Therefore , the solution of the given problem of quadratic equation comes out to be the vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.

Regression modelling uses the polynomials conclusion x = ax2 + b + c=0 for one-variable equations. The First Theorem on Algebra claims that as this cubic has a second derivative, there is only one solution. There are simple and complex solutions available. The term "quadratic solution" refers to a set of four variables. This implies that there may only be one squared word.

Here,

A quadratic function that has no real zeros has its vertex above or below the x-axis, but not crossing it. Therefore, the graph should not intersect the x-axis. Here is an example of such a graph:

                     |

                     |

                     |

                     |

                     |

                     |

__________|__________

The vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

The value of fluid ounce in millimeter can be calculated by mutliplyin by 29.574 so 12 fluid ounce is 354.882 millileters.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Per ounce, there are 29.5735296 millilitres (ml) (oz). As a result, the conversion formula for oz to ml is as follows:

ounce x 29.5735296 = ml

The following is the response to the question "What is 12 oz to ml?" when we enter 12 oz into our formula:

12 x 29.5735296

= 354.8823552 12 oz

≈ 354.882 ml

We have also changed the answer to "12 oz to ml?" into a fraction for your convenience. The fractional response to "12 oz to ml?" is as follows:

12 oz ≈ 354 15/17 ml

Learn more about Ounce to milliliters:

https://brainly.com/question/30400914

#SPJ4

A system of linear equations can have exactly one solution, infinitely many solutions, or no solutions. It cannot have exactly s solutions, where s is an integer strictly greater than 1.

To see why this is the case, let's consider a system of linear equations with m equations and n variables, where m ≤ n. We can represent the system as an augmented matrix A = [A|B], where A is the coefficient matrix of the system and B is the constant vector.

If the system has exactly one solution, then the rank of the coefficient matrix A is equal to the rank of the augmented matrix A = [A|B], which is n. This means that the number of pivots in the row echelon form of A is equal to n, and there are no free variables.

If the system has infinitely many solutions, then the rank of the coefficient matrix A is less than n, and there are one or more free variables. In this case, the number of solutions is not a fixed number, but rather a family of solutions that can be represented parametrically.

If the system has no solutions, then the rank of the coefficient matrix A is less than the rank of the augmented matrix A = [A|B], which is n + 1. In this case, there is a contradiction in the equations, and there is no solution.

To learn more about linear equations please click on below link.

https://brainly.com/question/29739212

#SPJ4

Answer:

  -5(g -3h +5)

Step-by-step explanation:

You want the factored form of -5g +15h -25.

The coefficient of g inside parentheses is 1, so the coefficient of g in the given expression (-5) must be the factor outside parentheses. You can divide the expression by this value to find the desired numbers:

  [tex]-5g+15h-25=-5\left(\dfrac{-5g+15h-25}{-5}\right)=-5\left(\dfrac{-5}{-5}g+\dfrac{15}{-5}h+\dfrac{-25}{-5}\right)\\\\=\boxed{-5(g-3h+5)}[/tex]

Answer:

The answer is: K = 14.

The addition of the polynomials 2x² + 6x + 5  and   3x² - 2x - 1 will be 5x²  +   4x   +   4.

Sums of terms of the form k × x^n, where k is any number and n is a positive integer, make up polynomials.

A polynomial is a mathematical equation made up of exponents, constants, and variables that are mixed using addition, subtraction, multiplication, and division.

Start with: 2x² + 6x + 5   +   3x² − 2x − 1

Place like terms together: 2x² +3x² +   6x−2x + 5−1

Which is: (2+3)x²  +   (6−2)x  +  L(5−1)

Add the like terms: 5x²  +   4x   +   4

Learn more about polynomial on:

https://brainly.com/question/4142886

#SPJ1

add the polynomials 2x² + 6x + 5   and   3x² - 2x - 1

In this case, when you have a subtraction of -7a^2 and then an addition of +10a^2, you can simplify the expression by adding the coefficients of the two terms that have the same literal and exponent.

So, you have:

-7a^2 + 10a^2

To add or subtract these terms, we need to have the same literal and exponent, which is the case here. The coefficients of the terms are -7 and 10, so we can add them to get:

-7a^2 + 10a^2 = 3a^2

Therefore, the simplified expression is 3a^2.

In summary, when you have terms with the same literal and exponent, you can add or subtract their coefficients to simplify the expression.

Answer:

The solutions to the equation f(x) = g(x) are approximately -4.59, -4.36, 2.11, and 2.84.

Step-by-step explanation:

To solve the eqation f(x) = g(x), we need to set the expressions for f(x) and g(x) equal to each other and solve for x. However, since g(x) involves an absolute value, we will need to consider two cases: one where 0.6x is positive, and one where it is negative.

Case 1: 0.6x is positive

In this case, we can write the equation as:

-0.25x³ - x² + 1.3x - 1.8 = 0.6x - 7.7

Simplifying, we get:

-0.25x³ - x² + 0.7x + 5.9 = 0

We can solve this equation using numerical methods, such as graphing or using a calculator, to find that x ≈ -4.59 and x ≈ 2.84.

Case 2: 0.6x is negative

In this case, we can write the equation as:

-0.25x³ - x² + 1.3x - 1.8 = -0.6x - 7.7

Simplifying, we get:

-0.25x³ - x² + 1.9x + 5.9 = 0

Again, we can use numerical methods to solve this equation and find that x ≈ -4.36 and x ≈ 2.11.

Therefore, the solutions to the equation f(x) = g(x) are approximately -4.59, -4.36, 2.11, and 2.84.

Answer:

Step-by-step explanation:Evaluate x +  23  when x =  −14 . If you missed this problem, review Example 4.9.15.

Evaluate 15 − y when y = −5. If you missed this problem, review Example 3.6.12.

Solve  n−7  = 42. If you missed this problem, review Example 4.12.5.

The answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is used to measure the likelihood or chance of an event occurring. Probability is represented as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if a fair coin is flipped, the probability of getting heads is 1/2, since there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

There are two main types of probability: theoretical probability and empirical probability.

Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. For example, the theoretical probability of rolling a six on a fair die is 1/6, since there is one favorable outcome out of six possible outcomes.

Empirical probability is based on observations and experiments and reflects the actual frequency of an event occurring. For example, the empirical probability of rolling a six on a particular die after many rolls may be different from the theoretical probability due to factors such as bias or chance.

Probability is used in many real-life situations, such as in games of chance, insurance, stock market analysis, and weather forecasting. It is also used in various fields of science, such as physics, biology, and chemistry, to model and analyze the behavior of complex systems.

Let's start by using algebra to represent the information given in the problem.

Let G be the number of green pins in the bag, and Y be the number of yellow pins in the bag. We know that:

G + Y is the total number of pins in the bag.

G/(G + Y) = 3/7, since 3/7 of the pins are green.

(G - 1)/[(G - 1) + Y] = 2/5, since after Yaqub gives a green pin to his sister, there are (G - 1) green pins remaining out of (G - 1 + Y) total remaining pins.

To solve for G and Y, we can use algebra to manipulate the equations:

G/(G + Y) = 3/7 can be simplified to 7G = 3(G + Y), which gives us 4G = 3Y.

(G - 1)/[(G - 1) + Y] = 2/5 can be simplified to 5(G - 1) = 2(G - 1 + Y), which gives us 3G - 2Y = 3.

We now have two equations with two variables, so we can solve for G and Y using substitution or elimination. For simplicity, we will use substitution.

From 4G = 3Y, we can solve for Y in terms of G:

Y = (4/3)G

Substituting this into 3G - 2Y = 3, we get:

3G - 2(4/3)G = 3

Simplifying, we get:

G = 9

Therefore, there are 9 green pins in the bag. Using the equation Y = (4/3)G, we get:

Y = (4/3)(9) = 12

So there are 12 yellow pins in the bag. After giving one green pin to his sister, Yaqub has 8 green pins and 12 yellow pins remaining in his bag. To check that 2/5 of the remaining pins are green, we can calculate:

8/(8+12) = 4/10 = 2/5

Therefore, the answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.

To know more about equation visit:

https://brainly.com/question/12788590

#SPJ1

The length of the leg of the 45-45-90 triangle is 6.

In geometry, the hypotenuse is the longest side of a right-angled triangle, opposite to the right angle.

The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.

In a 45-45-90 triangle, the length of each leg is equal to x, and the length of the hypotenuse is √2 times the length of a leg.

So if the hypotenuse is 6√2, then each leg has length:

x = (6√2)/√2 = 6

Hence, the length of the leg of the 45-45-90 triangle is 6.

To learn more about hypotenuse, Visit

brainly.com/question/2217700

#SPJ1

The value of y is 9

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

Therefore, the perimeter of a rectangle can be expressed as:

P = 2(l+b)

l = 4y

b = 3y+3

132 = 2(4y+3y+3)

132 = 2( 7y+3)

132 = 14y +6

14y = 132 -6

14y = 126

divide both sides by 14

y = 126/14

y = 9

therefore the value of y is 9

learn more about perimeter from

https://brainly.com/question/19819849

#SPJ1

The value of y in the rectangle shown is: y = 7.

The perimeter of a rectangle = 2(length + width)

Given the following as shown in the image attached below:

Length of rectangle = 5y + 3

Width of rectangle = 4y

Perimeter = 132 units

Plug in the values:

132 = 2(5y + 3 + 4y)

Solve for y:

132 = 2(9y + 3)

132 = 18y + 6

132 - 6 = 18y

126 = 18y

126/18 = y

7 = y

y = 7

Learn more about perimeter of rectangle on:

https://brainly.com/question/24571594

#SPJ1

The Volume 12 oz on converting to millimeter is equivalent to 354.9  milliliters .

The Ounces (oz) is a unit of volume which is used in the US customary system of measurement.

The Milliliters (mL) is a metric unit of volume.

We have to convert 12 ounces to milliliters, we need to use a conversion factor.

⇒ 1 fluid ounce (oz) is = 29.5735 milliliters (mL).

So , to convert 12 ounces to milliliters , we write :

⇒ 12 ounces × 29.5735 mL/ounce = 354.882 mL ≈ 354.9 mL .

Therefore , 12 ounces is approximately equal to 354.9 milliliters.

Learn more about Milliliters here

https://brainly.com/question/30404766

#SPJ4