(Trig word problems)

From a hot-air balloon, Enola measures a 22° angle of depression to a landmark that’s 310 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.

I think the answer is 4. She my attached picture of my work! I hope this helps you,have a great day!

Answer:

The cost of each battery is .59

Step-by-step explanation:

Divide 4.72 by 8 to get the answer

Answer:

$0.59

Step-by-step explanation:

$4.72 is the total cost of 8 batteries.

So, $4.72 ÷ 8 = $0.59

Answer:

yes because 0.5 is 50%

Step-by-step explanation:

Answer:

52.9 inches.

Step-by-step explanation:

Let's call the current height of the corn stalks as "h". Then the increase in height will be 0.058 * 50 = 2.9 inches.

So, h = 50 + 2.9 = 52.9 inches.

9514 1404 393

Answer:

  126°

Step-by-step explanation:

To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.

  (5x -6) +(3x) = 90

  8x = 96 . . . . . . . . . . . add 6, collect terms

  x = 12 . . . . . . . . . . . . . divide by 8

  3x° = 3·12° = 36° . . . . . . find the "remote" acute angle

  exterior angle = 90° +36°

  exterior angle = 126°

__

The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.

Answer:

68%

Step-by-step explanation:

In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:

Answer:

Step-by-step explanation:

a parabola that opens upwards or downwards and touches the x-axis at exactly one point, then the discriminant value is 0.

Answer:

12:5

Step-by-step explanation:

To calculate the ratio, we must first find the values of the two expenditures. The amount spent on renting a hall was 60% of £1000. To represent percentages in decimals, we can simply divide the percentage by 100, resulting in 0.6 here. We can then multiply this value by 1000 to get the amount spent on renting a hall, which comes out to £600

The ratio is then 600 : 250,  60 : 25 (divide both sides by 10) , or 12:5 (divide both sides by another 5)

Answer:

The first law of motion

Step-by-step explanation:

The stretch of an exponential decay function is y = 2(1/5)ˣ

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

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer:

4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00

Step-by-step explanation:

Mean  5.875

Median  6

Mode 6.00

The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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Answer:

a = 7

Step-by-step explanation:

Equation of line : y = mx + b

m = slope

Plug in coordinates:  

Slope = Change in y/Change in X

Slope = 13-4/5-2 = 9/3 = 3

Plug in coordinates:

y - intercept = b

13 = 5(3) + b

13 = 15 + b

b = -2

Equation: y = 3x - 2

Input 3 for x

y = 3x - 2

y = 9 - 2

y = 7

-Chetan K

Answer:

$960.5 dollars the answer is $960.5 the tax was 110.5

By the use of the trigonometric ratios, the height of the paraglide is 244 ft.

We have,

given that,

A paraglider is towed behind a boat by 400-ft ropes attached to the boat at a point 15 ft above the water. The spotter in the boat estimates the angle of the ropes to be 35 o above the horizontal.

The trigonometric ratios are used to obtain the sides of a right angled triangle. In this case, the geometry of the problem can be reduced to a right angled triangle.

Thus we have;

sin 35 = x/400

x = 400 sin35 = 229 ft

Hence, height of the paraglider = 229ft + 15 ft = 244 ft

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complete question:

A paraglider is towed behind a boat by 400-ft ropes attached to the boat at a point 15 ft above the water. The spotter in the boat estimates the angle of the ropes to be 35 o above the horizontal. Estimate the paraglider’s height above the water to the nearest foot. Enter a number answer only.

Answer:

66

Step-by-step explanation:

45+62=107

59+107=166

166-99.99=66

The value  of  x the subject of the formula is 2c(4+a)

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Equation with Lines

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

Given ,

X/2c = a+4 by simplifying ,

x=2c(4+a)

Therefore the value of x the subject of the formula is 2c(4+a)

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Answer:

$340

Step-by-step explanation:

because first i divided 3,400 by 800 because thats how many bags pf ice that was sold over the weekend and then I got 4.25 and then I did 4.25*80 and I got $340 and I hope this helps u let me know

Answer:  $340

Step-by-step explanation:

Create a proportion with the given values of 800 lbs = $3400

           \(\dfrac{dollars}{pounds}:\ \dfrac{3400}{800}=\dfrac{x}{80}\)

Cross Multiply:    800x = 3400(80)

Divide by 800:           x = 340

Replace x and y’all with the point and solve the equations

1. 2(0.5)+ 4(-6.75) = 1 + -27 = -26

This is true so is an answer.

2. Y = 0.5-7.5 = -7, -7 is not -6.75 so this is not true.

3. 2(-6.75) = 0.5 + 13

13.5 = 13.5

This is true so is also an answer.

4. -6.75 = 0.5(0.5) -7

-6.75 = 0.25-7

This is true so also an answer.

Answers are 1, 3 and 4

Answer:

Equation 1 and 4

Step-by-step explanation:

Point = (x,y) = (0.5,-6.75)

Hence,

x = 0.5 , y = -6.75

Equation 1:

2(0.5) + 4(-6.75) = -26

1 - 27 = -26

-26 = -26

This equation is true for the given point.

Equation 2:

-6.75 = 0.5 - 7.5

-6.75 ≠ -7

The equation is not true for the given point.

Equation 3:

2 (-6.75) = 0.5 + 13

-13.5 ≠ 13.5

The equation is not true for the given point.

Equation 4:

-6.75 = 0.5(0.5) - 7

-6.75 = 0.25 - 7

-6.75 = -6.75

This equation is true for the given point.

\(\rule[225]{225}{2}\)

Hope this helped!

After using permutations and combination, There are 1001 groups of 4 people that can answer the 4 different phone lines if all the lines begin to ring at once.

To determine the number of groups of 4 people that can answer the 4 different phone lines, we can use the combination formula, which is:

nCr = n! / (r! * (n-r)!)

where n is the total number of people in the office and r is the number of people needed to answer each phone line.

In this case, n = 14 (the total number of people in the office) and r = 4 (the number of people needed to answer each phone line).

So, the number of groups of 4 people that can answer the 4 different phone lines is:

¹⁴C₄ = 14! / (4! * (14-4)!) = 1001

Therefore, there are 1001 groups of 4 people that can answer the 4 different phone lines if all the lines begin to ring at once.

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The process of researching and verifying information about a business opportunity is called due diligence.

Due diligence is a comprehensive process that involves thoroughly investigating and evaluating all relevant aspects of a business opportunity before making a decision. It is a crucial step to ensure that the information provided is accurate, complete, and reliable. The acquisition team plays a vital role in conducting due diligence by gathering and analyzing data, documents, and other relevant information about the business.

This includes assessing the financial statements, examining legal and regulatory compliance, scrutinizing contracts and agreements, evaluating the market potential, and conducting interviews with key stakeholders. The purpose of due diligence is to identify any potential risks, liabilities, or issues associated with the business and to verify the claims made by the seller. By conducting due diligence, Lamar and his team can make informed decisions and minimize the chances of unpleasant surprises or negative consequences arising from the business opportunity.

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Answer:

Three-hundred twenty six thousandths

Step-by-step explanation:

3 x 1/10 + 2 x 1/100 + 6 x 1/1000

The standard deviation of the sampling distribution can be calculated using the formula:  standard deviation = sqrt [p(1-p)/n] . Therefore, the mean of the sampling distribution is 0.5 and the standard deviation is 0.025.

The mean of the sampling distribution of possible sample proportions is equal to the population proportion, which is p = 0.5. The standard deviation of the sampling distribution can be calculated using the formula:

standard deviation = sqrt [p(1-p)/n]

Plugging in the values, we get:

standard deviation = sqrt [(0.5)(1-0.5)/400]

standard deviation = sqrt [(0.25)/400]

standard deviation = 0.025

Therefore, the mean of the sampling distribution is 0.5 and the standard deviation is 0.025.

To find the mean and standard deviation of the sampling distribution for sample proportions, you can use the following formulas:

Mean (μ) = p
Standard Deviation (σ) = √(p(1-p)/n)

Given the sample size (n) = 400 and population proportion (p) = 0.5, you can calculate the mean and standard deviation as follows:

Mean (μ) = 0.5
Standard Deviation (σ) = √(0.5(1-0.5)/400) = √(0.5*0.5/400) = √(0.125/100) = √(0.00125) ≈ 0.0354

So, the mean of the sampling distribution is 0.5 and the standard deviation is approximately 0.0354.

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The probability that if the car is not small, that it is not grey is 64.3 %

To find the probability that a car which is not small, is not grey, the formula would be :

= Probability that car is not grey and not small / Probability that car is not small

Probability that car is not grey and not small :

= ( White and not small + Black and not small + Red and not small )

= 86+ 26 + 63 + 32 + 36 + 22

= 265 cars

Probability that car is not small :

= 290 + 120

= 412 cars

The probability is:

= 265 / 412

= 64.3 %

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Answer:

800 meters per second is the right answer

Answer:

900000 per 3600

Step-by-step explanation:

900 kilometres to meters = 900 × 10³ = 900000 meters

One hour to seconds = 3600 seconds

Speed = 900000 meters per 3600 seconds