During the Dallas marathon, a helicopter monitors the racers at a height of 527 feet. The pilot can see the runners that are in first and second place. The angle of elevation from the runner in first place to the helicopter is 45 degrees. The angle of elevation from the runner in second place to the helicopter is 60 degrees. What is the distance from the runner in 2nd place to the point directly below the helicopter? Round your answer to the hundredths place.

Answer:

PLZZ MARK ME BRAINLIEST..!

Step-by-step explanation:

Bridgets fish: f , 2f, 3f+2 , 1/2f, 3/5f

Add for total weight: 7 1/10 f +2

Dads fish: 3f+2, 4/5f, 2f+4, 1/2f

Add for total weight:  6 3/10f +6

set the 2 total weights equal:

6 3/10f +6 = 7 1/10f +2

Subtract 6 3/10f from each side:

6 = 8/10f  + 2

Subtract 2 from each side:

4 = 8/10f

Divide both sides by 8/10:

f =  5

Bridget's first fish weighed 5 ounces.

Dads first fish weighed:  2 more than 3 times :3(5) + 2 = 15 +2 = 17 ounces.

Explanation

To answer this given question, we will make use of the Empirical rule of normal distribution

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

The image below helps gives a clearer understanding

So in our case, since the mean is 189 mg/dL and the standard deviation is 23

Then we will have the following values at

23 kg is equivalent to 50.7098 pounds.

When converting between units of weight, it is important to understand the relationship between the units. Kilograms (kg) and pounds (lbs) are both units of weight, but they are not equivalent. One kilogram is equal to 2.20462 pounds.

To convert kilograms (kg) to pounds (lbs), you can use the conversion factor of 2.20462. The formula to convert kg to lbs is:

lbs = kg x 2.20462

So, to convert 23 kg to pounds, we can plug in the value of 23 for kg and multiply it by 2.20462:

lbs = 23 x 2.20462

lbs = 50.7098

It's worth noting that when dealing with such calculations, you need to take care of the precision of the result.

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Answer:

  120 customers per hour

Step-by-step explanation:

You want to know the processing rate in customers per hour if there are an average of 6 customers waiting, and the average service time is 3 minutes.

Little's law relates the average queue depth to the response time and the average throughput:

  mean response time = mean number in system / mean throughput

Solving for the throughput, we find ...

  throughput = (number in the system)/(response time)

  throughput = (6 customers)/(3/60 hours) = 120 customers/hour

The average rate of processing is 120 customers per hour.

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The statements 'all squares are similar' and 'all equilateral triangles are similar' is true among the given statements.

Similar shapes refer to shapes with the same angles but sides of varying magnification. We can also say the ratio in dimensions of corresponding sides is in proportion.

In the case of isosceles triangles, the angles of each triangle can be unique and to say the sizes are in proportion to each other might not be true for every case. Thus, we can't say that all isosceles triangles are similar to each other.

In the case of rectangles, though the angles of each rectangle are equal and are 90°, to say the sizes are in proportion to each other might not be true for every case as the length and breadth may vary without any proper ratio. Thus, we can't say that all rectangles are similar to each other.

In the case of squares, the angles of each side of the square are equal and are 90°, and since all sides are equal to each other, the sides are also in proportion. Thus, we can say that all squares are similar to each other.

In the case of equilateral triangles, the angles of each side of an equilateral are equal and are 60°, and since all sides are equal to each other, the sides are also in proportion. Thus, we can say that all equilateral triangles are similar to each other.

In the case of right triangles, only one of the angles of each triangle is equal and is 90°, to say the sizes are in proportion to each other might not be true for every case as each side may vary without any proper ratio. Thus, we can't say that all right triangles are similar to each other.

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Answer:

x=7

Step-by-step explanation:

5x -2+x=9+3x+10

6x-2=3x+19

6x-3x=19+2

3x=21

x=21/3

x=7

if the y-intercept is (0,5), you have:

y = (3/4)x + 5

To graph a line with a slope of 3/4, you can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Since the slope is 3/4, the equation of the line is y = (3/4)x + b.

To find the y-intercept, you can plug in the coordinates (0,b) into the equation. So if the y-intercept is (0,5), you have:

y = (3/4)x + 5

You can then plot the point (0,5) on the graph, and use the slope of 3/4 to find the next point by going up 3 and right 4.

Another way is to pick two points on the line and plot them, you can use the slope formula (rise over run) to find the next point on the line.

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Answer:

The line would be straight; it could be vertical or horizontal.

Answer:

6 nights

Step-by-step explanation:

Set up your equation:

645=95n+75

then subtract the cleaning fee from the total to remove it from both sides

570=95n

then divid the remaining budget by the $95 per night charge

570/95= n =6

Meaning that she can afford 6 nights in the beach house at that price

Answer:

84 Square Feet.

Step-by-step explanation:

In order to calculate the area of a parallelogram, just multiply base by height. So the area of this parallelogram is 14 x 6 = 84 Square Feet.

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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Answer:

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

= 5

= 10

=  +  = 15

= x - 3

= x + 1

A two column proof is presented as follows;

Statement          Reason

∠L ≅ ∠L             By Reflexive property of congruency

║           Given

∠LOP ≅ ∠LMN   By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN   By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

/  = / = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

= (x - 3) = 5 - 3 = 2

= 2

= x + 1 = 5 + 1 = 6

=  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©

Answer:

Well what's half of 55?

Step-by-step explanation:

just find what 2 number make 55. Well half of 55 if 27.5 so then you put that into your chart and that should help you move along the rest! Hope this helps!

Answer:

The diameter of a circle is "2 x radius".

Answer:

b

Step-by-step explanation:

Given:

Height of the cylinder (h) = 24 cm

Radius of the cylinder (r) = 2 cm.

If the shape of an object is changed it's Volume doesn't change.

So,

Volume of cylinder = Volume of sphere

Volume of cylinder = πr²h

Volume of sphere = 4/3 πr³

Let the radius of the sphere be r'

⟶ π * (2)² * 24 = 4/3 * π * (r')³

⟶ 4 * 24 * 3/4 = (r')³

⟶ 72 = (r')³

⟶ (4.16)³ = (r')³

⟶ 4.16 = r'

∴ The radius of the sphere is 4.16 cm.

the angle between 0 and 2π that is coterminal with 17π/4 is π/4.

To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find an equivalent angle within that range.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.

To determine the coterminal angle with 17π/4, we can subtract or add multiples of 2π until we obtain an angle within the range of 0 to 2π.

Starting with 17π/4, we can subtract 4π to bring it within the range:

17π/4 - 4π = π/4

The angle π/4 is between 0 and 2π and is coterminal with 17π/4.

what is equivalent'?

In mathematics, the term "equivalent" is used to describe two things that have the same value, meaning, or effect. When two mathematical expressions, equations, or statements are equivalent, it means that they are interchangeable and represent the same mathematical concept or relationship.

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The wheel on the outer rail travels approximately 12.56 feet farther than the wheel on the inner rail of the track in one turn.

To determine how much farther a wheel on the outer rail travels compared to a wheel on the inner rail of the circular track, we can calculate the difference in distances traveled by the two wheels in one complete turn.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the inner circle has a radius of 64 ft. Therefore, the circumference of the inner circle is \(C_i_n_n_e_r\) = 2π(64) = 128π ft.

Similarly, the outer circle has a radius equal to the sum of the inner radius (64 ft) and the width of the track (2 ft). Thus, the radius of the outer circle is 66 ft. The circumference of the outer circle is \(C_o_u_t_e_r\) = 2π(66) = 132π ft.

The difference in distances traveled by the two wheels in one turn is equal to the difference in circumferences of the two circles. Therefore, the difference is:

\(C_o_u_t_e_r\) - \(C_i_n_n_e_r\)= (132π ft) - (128π ft) = 4π ft.

Now, to find the numerical value of the difference, we can approximate π as 3.14:

4π ft ≈ 4(3.14) ft ≈ 12.56 ft.

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Answer:

150 degrees

Step-by-step explanation:

You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.

Four technicians make repairs when breakdowns occur on an automated production line. 20% of the breakdowns are serviced by Janet, 60% of the breakdowns are serviced by Tom, 15% of the breakdowns are serviced by Georgia, and 5% of the breakdowns are serviced by Peter.

When making repairs, each technician has a chance of making an incomplete repair. Janet makes an incomplete repair 1 time in 20, Tom makes an incomplete repair 1 time in 10, Georgia makes an incomplete repair 1 time in 10, and Peter makes an incomplete repair 1 time in 20.

If the next problem with the production line is diagnosed as being due to an initial repair that was incomplete, we can find the probability that the initial repair was made by each technician as follows:
- Probability that the initial repair was made by Janet: (20/100) x (1/20) = 0.001
- Probability that the initial repair was made by Tom: (60/100) x (1/10) = 0.006
- Probability that the initial repair was made by Georgia: (15/100) x (1/10) = 0.0015
- Probability that the initial repair was made by Peter: (5/100) x (1/20) = 0.00025

Therefore, the probability that the initial repair was made by Janet is 0.001, the probability that it was made by Tom is 0.006, the probability that it was made by Georgia is 0.0015, and the probability that it was made by Peter is 0.00025. The total probability is 0.00875.

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Answer:

Step-by-step explanation:

Answer:

the x is 5

Step-by-step explanation:

x=5y+20:

x=5y+20

x=(5)(-3)+20

x=5 (simplify boy sides of the equation)

The amount of charge for one bag of peanuts will be $0.65.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Jose bought 750 bags of peanuts for $375.00.

He intends to sell each bag for $0.15 more than he paid.

Then the amount of charge for one bag of peanuts will be

⇒ $375 / 750 + $0.15

⇒ $0.5 + $0.15

⇒ $0.65

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Hank: 1.3 pounds at a rate of 0.75 pounds per minute

Tom: 2.5 pounds at a rate of 0.5 pounds per minute

rate is given by

r = p / t

where p is the number of pounds picked during a fixed time

The number of berries picked by Hank during a certain time is given by the following equation

For Tom, the equation is the following:

Now, we need to find a time t when T and H are the same

We now just need to solve for t

Let's find t step by step

Which is the same as t=4.8

Answer: no

Step-by-step explanation: So, the function's graph cannot intersect the vertical asymptote because in order for it to do so, the graph should contain a point on the asymptote.

Yes, it is possible for the graph of y = f(x) to intersect a vertical asymptote, and It depends on the specific behavior and properties of the function f(x).

Given that,

The graph of a function is,

y = f (x)

Now, it is possible for the graph of y = f(x) to intersect a vertical asymptote.

While vertical asymptotes typically represent values of x where the function approaches infinity or negative infinity, there may be cases where the graph intersects the asymptote as it approaches or crosses it.

Hence, It depends on the specific behavior and properties of the function f(x).

So, The given statement is true.

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Answer:

Step-by-step explanation:

tan(3x)+1=0

⇔tan3x=-1

⇔tan3x=tan(\(\frac{-\pi }{4}\))

⇔3x=\(\frac{-\pi }{4}\)+k\(\pi\)

⇔x=\(\frac{-\pi }{12}\)+\(\frac{k\pi }{3}\)

Answer:

tan(3x)+1=0

=> tan (3x)=-1

=> 3x = −π/4+k.π,k∈Z

=> x= −π/12+k.π/3,k∈Z

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I hope this is correct and have a great day

Answer:

the next number in the sequence would be 7.68

Step-by-step explanation:

you are multiplying by 4. 0.03 multiplied by 4 equals 0.12, and so on.