From a hot-air balloon, Adriel measures a 22° angle of depression to a landmark
that's 743 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest hundredth of a foot if necessary.

The probability is the odds thus the probability it will rain today will be 5/9.

Probability is also known as chance because, if you flip a coin, the chance that it will strike on its head or tail is just a chance that either a head will make an appearance or not.

As per the given,

The odds of rain today are 5:9

Odds will be the equivalent of probability because probabilities is the same as chances.

The probability will be 5/9 or  5:9.

Hence "Since probability implies odds, so possible that it will rain tonight is 5/9.".

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The given result ∠Q = ∠S is proved by the criteria of two congruent triangles.

Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.

The given triangle shows the following information,

R is the midpoint of QS. It implies that QR = QS.

And, PQ = PS

Now, the relation between ΔPQR and ΔPRS is shown as follows,

In ΔPQR and ΔPRS

PQ = PS (Given information)

PR = PR (Common sides)

QR = RS (R is the midpoint)

Thus, ΔPQR ≅ ΔPRS by SSS criteria.

Since for two congruent triangles, the corresponding sides and angles are equal. For the given triangles ∠Q = ∠S.

Hence, it is proved that ∠Q = ∠S as triangles ΔPQR ≅ ΔPRS.

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Answer: b

Step-by-step explanation:

becuase of the fromula

Answer:

y = 3x

Step-by-step explanation:

With each x value on the table, the y value is multiplied by 3

Answer:

y=3x

Step-by-step explanation:

Each y value is equal to the corresponding x value times three.

The inequality y < -1/2x² - 6x - 16 corresponds to the right representation.

Along with passing through (-8, 0), (-6, 2), and (-4, 0), it also has a vertex there.

We need to find its equation.

We must take into account the provided details on the parabola's properties and its points in order to choose the proper inequality to symbolize the shaded area of the parabola.

The vertex of the parabola is at (-6, 2), and it opens downward. This indicates that the equation for the parabola is of the type y = a(x - h)² + k, where (h, k) denotes the vertex.

In this case, h = -6 and k = 2.

Plugging in the values of the vertex into the equation, we have:

y = a(x - (-6))² + 2

y = a(x + 6)² + 2

Now we can use one of the points that the parabola passes through to solve for the value of 'a'.

The point (-8, 0) lies on the parabola. Substituting these values into the equation:

0 = a(-8 + 6)² + 2

0 = a(-2)² + 2

0 = 4a + 2

4a = -2

a = -1/2

Substituting the value of 'a' into the equation:

y = (-1/2)(x + 6)² + 2

Expanding and rearranging the equation:

y = (-1/2)(x² + 12x + 36) + 2

y = (-1/2)x² - 6x - 18 + 2

y = (-1/2)x² - 6x - 16

Therefore, the correct inequality that represents the shaded region is:

y < -1/2x² - 6x - 16

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Answer:

x = 72

Step-by-step explanation:

We first remove the parenthesis

2x-90+2x-90+x = 180

Group like terms

2x+2x+x-90-90 = 180

Add the like terms with each other

5x-180 = 180

Add 180 to both sides to cancel the -180 on the left side of the equation

5x = 180+180 = 360

We then divide 360 by 5 to get 72 as x

Answer:

The ratio of Pablo's age to Richard's age to Tristan's age is 6:7:4.

Step-by-step explanation:

The ratio of Pablo's age to Richard's age is 6: 7 and the ratio of Pablo's age to Tristan's age is 5: 4. To find the ratio of Pablo's age to Richard's age to Tristan's age, we can first find the ratio of Richard's age to Tristan's age by multiplying the ratios of Pablo's age to Richard's age and Pablo's age to Tristan's age. The product of these ratios is 6/7 * 5/4 = 30/28. Since the ratio of Pablo's age to Richard's age is 6:7, we can add this ratio to the ratio of Richard's age to Tristan's age to find the ratio of Pablo's age to Richard's age to Tristan's age. Thus, the ratio of Pablo's age to Richard's age to Tristan's age is 6:7:4.

The diameter of Raquel's "trashball" should be equal to 5 inches.

The circumference of the "trashball" should be equal to 15.7 inches.

In order to calculate the circumference of Raquel's trashball, we would use the formula for the circumference of a circle. Mathematically, the circumference of a circle can be calculated by using this formula:

C = 2πr

C = πD

Where:

Since Raquel wants the "trashball" to have a diameter that is 1/4 the diameter of the top of the trash can, we have;

Raquel's trashball diameter = 1/4 × diameter of the top of the trash can.

Raquel's trashball diameter = 1/4 × 20

Raquel's trashball diameter = 5 inches.

Next, we would determine the circumference of the "trashball" as follows;

C = 3.14 × 5

C = 15.7 inches.

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Answer:

Part 1 is 5 inches

Part 2 is 15.7 inches

Answer:

To find the total annual interest on Nora's two investments, we need to calculate the interest earned on each investment and then add the two amounts together. To find the interest earned on the first investment, we need to multiply the amount invested by the interest rate and the length of time the investment is held. The investment of $800 is held for one year, so the interest earned on this investment is $800 x 6% x 1 = $48. To find the interest earned on the second investment, we need to use the same formula. The investment of $1200 is also held for one year, so the interest earned on this investment is $1200 x 7% x 1 = $84. The total interest earned on both investments is $48 + $84 = $132. Therefore, Nora's total annual interest on these two investments is $132.

Step-by-step explanation:

Answer:

(6.25, 10)

Step-by-step explanation:

red = x. blue = y

Jackie: 4x + 5y = 75

Sam: 4x + 4y = 65

Solving by elimination

4x + 5y = 75

4x + 4y = 65

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

(4x + 5y = 75) × -1

-4x - 5y = -75

-4x - 5y = -75

4x + 4y = 65

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

         -y = -10

         ÷-1   ÷-1

       --------------

          y = 10

4x + 4y = 65

4x + 4(10) = 65

4x + 40 = 65

     -40    -40

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

4x = 25

÷4   ÷4

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

x = 6.25

(6.25, 10)

Each red block weighs 6.25 ounces.

Each blue block weighs 10 ounces.

I hope this helps!

Answer: i think

Step-by-step explanation:

Answer:

Graph B!!!!

On Edge 2023 Quiz

Step-by-step explanation:

To make 1,000 dollars in profit, he needs to sell each souvenir with a price of $3.

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

pn−200 = 1,000

Substitute n =400

400p - 200= 1000

400p = 1000 + 200 = 1200

p= 1200/400 = 3

=> To make 1,000 dollars in profit, he needs to sell each souvenir with a price of $3.

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Multiply your number by 2/3. If you have a whole number, divide it by a denominator of 1 to get a fraction.

Calculate numerator times numerator, then denominator times denominator when multiplying fractions. For instance, multiply 2/3 x 18/1 to get 36/3 in order to discover two thirds of 18.

Divide the resulting fraction by the common denominator to reduce it as necessary. For instance, 36 and 3 both have 3 as their common denominator. You get a fraction of 12/1 when you divide 36 and 3 by 3, which is equal to 12. Therefore, 12 is equal to 2/3 of 18.

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The expression (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) simplies to -5.55 × 10⁻⁸. Option A. is the answer

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form

Given: (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸)

In order to simplify (2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) rewrite one of the expressions so that the expressions will have the same power. Then, subtract. That is:

(2.5 x 10⁻⁹) − (5.8 x 10⁻⁸) = (0.25 x 10⁻⁸) − (5.8 x 10⁻⁸)

                                      =  (0.25 − 5.8) × 10⁻⁸

                                      =  -5.55 × 10⁻⁸

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Answer:

x

Step-by-step explanation:

square root x to the 2nd power is x

square root and 2nd power eliminate each other so it leaves you with x

hopes this helps

To make three plates by three machines it will take 05 minutes.

The Production Possibility Frontier (PPF) is a curve on a graph that represents the possible amount that can be produced by two products if they rely on the same finite resource for manufacturing. PPF is also known as the production possibility curve.

Given:

05 machines make 05 plates in 05 hours.

rate of 3 machines is 1 plate per minute,

1 machine makes 5 Plate in = 5 × 5 = 25 minutes.

1 machine makes makes 1 plate in = 25 ÷ 5 = 5 minutes

So, 1 machine can make 03 plates in = 5 × 3 = 15

Thus, 03 machines can make 03 plates in = 15 ÷ 3

                                                                      = 5 minutes.

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X ~ Bin ( n , p)

The probability that a random sample of 60 households will have exactly 20 households with 3 or more vehicles is 0.90931

What is mean and standard deviation?

Using Normal Approximation to Binomial

Mean = n * P = ( 60 * 0.3 ) = 18

Variance  = n * P * Q  = ( 60 * 0.3 * 0.7 ) = 12.6

Standard deviation  = √(variance) = √(12.6)  = 3.5496

P ( X = 20 )

Using continuity correction

P( n - 0.5 < X < n + 0.5 )

= P ( 20 - 0.5 < X < 20 + 0.5 )

= P ( 19.5 < X < 20.5 )

Using EXCEL,

P ( 19.5 < X < 20.5 )

= P(X < 20.5) - P(X < 19.5)

= BINOM.DIST ( 20.5 , 60 , 0.30, TRUE) - BINOM.DIST ( 19.5 , 60 , 0.30, TRUE)

= 0.7622 -  0.66916

= 0.0931

Hence, the probability that a random sample of 60 households will have exactly 20 households with 3 or more vehicles is 0.90931

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Answer:

15.6 ounces

Step-by-step explanation:

6.95 + (6.95 + 1.7) = 15.6 ounces

The square root of 30 is less than fifty-ninths mathematically it can be written as √30<√59. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the numbers are the square root of 30 and the square root of 59. The values will be compared below,

√30 = 4.8

√59 = 7.68

The inequality will be written as,

√30<√59

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Answer:

13:15

1:1.5

0.5:0.575;is the ratio of

correct answers to total questions as a

decimal.

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

The number of hours it will take 3 employees to tag all garments is 1.60 hour

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

Number of garments = 575

Time taken by an employee on a garment = 30 seconds

This means that the variation is an inverse variation

If the time taken by an employee on a garment is 30 seconds

Then the time taken by 3 employees on a garment is

Time taken = 30 seconds/3

Evaluate

Time taken = 10 seconds

For 575 garments, we have

Time taken = 10 seconds * 575

Evaluate

Time taken = 5750 seconds

Express in hours

Time taken = 1.60 hour

Hence, the time taken is 1.60 hour

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Answer: -5

Step-by-step explanation:

Let's start with what we know:

Range is the lowest point on the graph subtracted from the highest point on the graph. Therefore, in this equation, we do:

-9 - (-4) = -5

So the range is -5.

With the use of proportions, it was discovered that (D) 96 of the 160 students who chose the Jaguars as their favorite team were sophomores.

A percentage is a component of the total amount, and the three-step rule is used to relate the measurements.

This makes it possible to construct direct or inverse proportional relationships between variables to find the necessary measures in the issue.

When determining if two ratios or fractions are equivalent, the proportion formula is utilized.

By dividing the supplied values, we may determine the missing value.

So, we know that 160 students chose the Jaguars as their favorite team for this issue.

Given that 100 - 40 = 60% of the students in the bar graph were sophomores, the number of sophomores who support the Jaguars is as follows:

96 students are 0.6 times 160.

Therefore, with the use of proportions, it was discovered that (D) 96 of the 160 students who chose the Jaguars as their favorite team was sophomores.

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Complete question:
Freshmen and sophomores were surveyed during lunch about their favorite professional football team.

A bar graph with the first bar labeled Jaguars, divided into freshmen from 0 to 40 percent and sophomores from 40 to 100 percent. The second bar is labeled Dolphins, with freshmen from 0 to 45 percent and sophomores from 45 to 100 percent, and the third bar is labeled Buccaneers, with freshmen from 0 to 45 percent and sophomores from 45 to 100 percent.

If 160 students selected Jaguars, how many of those students are sophomores?

a. 64 students

b. 72 students

c. 88 students

d. 96 students

Answer:

0.55 m/s²

Step-by-step explanation:

Fnet = 150 N - 84 N = 66 N

a = Fnet/m = (66 N) / (120 kg) = 0.55 m/s²

Answer:20

Step-by-step explanation:

Answer:

Step-by-step explanation:

-12+8=

-4

you would subtract 12 and 8 and then you'd get 4 but you'd put a negative sign with it because 12 is negative.

Three dozen of these apples cost if Annalisa bought is equivalent to $23.40.

Given that:

Annalisa bought two dozen apples for $15.60.

Therefore, the value of one dozen apples will be calculated by dividing both values by 2.

i.e. We can say that,

Annalisa bought one dozen apples for $15.60/2 = $7.80.

So, we have to find out the value of three dozen of these apples.

Hence, we multiply both the 3 to get the cost of three dozen of apples.

Multiplying we get,

Annalisa if bought three dozen apple costs = $7.80 x 3 = $23.40.

We also know that, one dozen = 12 apples

So, three dozen = 36 apples

Therefore, we can say the cost of one apple = 23.40/36 = $0.65

Hence, it costs $23.40 for three dozen apples to Annalisa.

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