Analytically show that the equation below represents trigonometric identity statements for questions 5-7

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let t is the time the train has taken to travel and x is the distance it travelled. Thus,

[tex]t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}[/tex]

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let t is the time the car has taken to travel and x is the distance it travelled. Thus,

[tex]t+2=3+\dfrac{(x-3\times35)}{51}[/tex]

As t is same, thus put the value of t in this equation,

[tex]\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6[/tex]

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

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Answer:

the awnser I got is 279

Step-by-step explanation:

if it's wrong I'm so sorry I'm not the best at math >-<

Answer: 105.66 ft

Step-by-step explanation:

Using the Empirical Rule, it is found that 99.7% of the data will be between 11.7 and 32.7 inches.

It states that, for a normally distributed random variable:

In this problem, considering the mean and the standard deviation of the data-set, the bounds between which 99.7% of the data-set are given by:

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Answer: 11.7 & 32.7

Step-by-step explanation:

Approximately  $99.7\%$ of the snowfall amounts are between 1$$ inches and 2$$ inches.

Correct answers:

1: 11.7 2: 32.7

The Empirical Rule states that approximately 99.7% of the data is within 3 standard deviations of the mean. In terms of the sample mean x¯ and sample standard deviation s, that is between x¯−3s and x¯+3s.

The value 3 standard deviations below the mean is

x¯−3s=22.2−3(3.5)=11.7.

The value 3 standard deviations above the mean is

x¯+3s=22.2+3(3.5)=32.7.

So by the Empirical Rule, we can say that approximately 99.7% of the snowfall amounts are between 11.7 and 32.7 inches.

Answer:

x=34/5 y= -18/5

Step-by-step explanation:

check the image above since it works on fractions it will be too messy in typing

Answer:

Probability of red marble- 4/14

Probability of blue marble- 7/10

Hope this helps!

Answer:

see photo for detailed analysis

Step-by-step explanation:

Answer:

6a^2

Step-by-step explanation:

2a x 3a

a x a = a^2

2 x 3 = 6

2a x 3a = 6a^2

2a × 3a

a × a = a²

2 × 3 = 6

2a × 3a = 6a²

Step-by-step explanation:

✿..๑...Ziddi girl ♡..✧

Answer:

10

Step-by-step explanation:

You just have to plug in the values :)

Since y = 3 and x = 2:

4y - x = 4(3) - 2 = 12 - 2 = 10

Answer:

10

____

[tex]\sf Part[/tex] I

⋆ [tex]\sf Given~y~and~x~are~3~and~2...[/tex]

⋆ [tex]\sf Use~the~values~to~solve[/tex]

____

[tex]\sf Part[/tex] II

[tex]4y-x\\(4y)-x\\(4*y)-x\\(4*3)-2\\= 10[/tex]

The correct answer is option A

Answer:

54.9381 square inches

Step-by-step explanation:

Find the areas of both the square box and the circular pizza.

The equation for the area of a square is A = s^2. (or A = lw)

A = 16^2 = 256 square inches

The equation for the area of a circle is A = πr^2.

A = π(8^2) = 64π = 201.0619 square inches

Now subtract the areas.

256 - 201.0619 = 54.9381 square inches

(I don't know what are the answer choices, but I'm sure this should be one of the choices:)

Answer:

The product of 12 multiplied with a fraction less than 1 will be less than 12 itself.

Step-by-step explanation:

This is true because if you multiply 12 by (for example) 1/2, then your answer is going to be 6 since 12x1=12 itself, and 12x0=0. So that's why, if it's less than 1, then the product is going to be less than 12 itself.

Answer:

Step-by-step explanation:

we know 100 cm are in one meter,  so,  3 meters = 300 cm

then  20/300  =  20 cm  of 3 meters  , now just reduce the fraction

20/300

= 2 / 30

= 1/15

see??

Answer: A, B, D, F

Explanation:

Edge 2022

Answer:
A, B , D, F

Step-by-step explanation:

These are a good example of procedural writing
Hope it helped ! Mark me as Brainliest pls !

Answer:

the answer is that a=2

Step-by-step explanation:

Answer:

3a+2a=10

=5a = 10

=[tex]\frac{5a}{5}[/tex]=[tex]\frac{10}{5}[/tex]

=[tex]\frac{10}{5}[/tex]=2

therefore: x=2

Step-by-step explanation:

Hope it helps

Answer:

The answer should be C.

Step-by-step explanation:

It is C because you need to do first is to find is just the vertical asymptote of the function and to plug in the x values behind the vertical asymptote.

Answer:

Question 7: 64

Step-by-step explanation:

Let me know if you need more help !!

Step-by-step explanation:

hopefully the picture uploads

Answer:

The y-intercept is 0

Step-by-step explanation:

y = mx + b

b is y-intercept

There are no constants in this equation

Answer:

68

Step-by-step explanation:

that is the answer to the question above

type english is the answer ok just learn HOW TO TYPE ENGLISH

Answer:

iou213 hr2938ru 298rh243 ru23y

Step-by-step explanation:

po2iu4jrt 2r 23r9p23 r,

r24lon24 f23 r293hr,

dgngo34 9,

Therefore, iou213 hr2938ru 298rh243 ru23y

Answer:

x plus 5 = 2/3

Step-by-step explanation:

The value of the mean of team C and team D will be equal. Then the correct option is B.

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average. It's the percentage of the actual number of observations to the sum of the observations.

The dot plots below show the weights of the players of the two teams:

Team C

120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140. Weight (pounds)

Team D

120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140. Weight (pounds)

Then the mean of team C will be

[tex]\mu _c = \dfrac{120 +121 +122 +123 +124 +.....+139 +140}{21}\\\\\mu _c = \dfrac{2730}{21}\\\\\mu _c = 130[/tex]

Then the mean of team D will be

[tex]\mu _d = \dfrac{120 +121 +122 +123 +124 +.....+139 +140}{21}\\\\\mu _d = \dfrac{2730}{21}\\\\\mu _d = 130[/tex]

Then the value of the mean of team C and team D will be equal.

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Answer:

44 square cm

Step-by-step explanation:

Total Area = Area of triangle + Area of rectangle

= (1/2 * base * height) + (Length*Width)

= (1/2 × 8 × 6) + ( 10 × 2)

= 24 + 20

= 44 square cm

The number of students that took Mrs. Smith's Math test as dshown in the stem-and-leaf plot is: 20.

A stem-and-leaf plot displays a data distrubution as follows, i.e., if 56, 57 are data points, 5 would be the stem while 6, 7 will be the leaf (5 | 6, 7).

The data points in the stem-and-leaf plot shown represents the score of each of the student. There are 20 data points.

Therefore, the number of students that took the test is: 20.

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The probability that less than 20 trees have the disease is; 0.135

The formula for binomial probability is;

P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾

We are told that 30% of Elm trees have a certain disease. Thus;

p = 30% = 0.3

n = 80

x = 20

Thus, probability that less than 20 trees have the disease is;

P(X < 20) = P(X = 0) + P(X = 1) + P(X = 2) + ....... + P(X = 19)

Using a binomial probability calculator online gives us;

P(X < 20) = 0.135

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Answer:

Step-by-step explanation:

f(x) = -37 it is a constant function. For any real number, the function takes the value -37.

Therefore

Domain is all real numbers

Range is only one number, -37.

Answer:

A

Step-by-step explanation:

A. 23÷49

Using this method from Internet, it occurs to be the least fraction is A which meaning least likely to happen.

Answer:

PENDULUM A pendulum swings with an arc length of 24 feet on its first swing. On each swing after the first swing, the arc length is 60% of the length of the previous swing. Draw a graph that represents the arc length after each swing.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =\frac{\pi }{4} \end{cases}\implies A=\cfrac{ ~~ \frac{\pi }{4} ~~ (4)^2}{2}\implies A=2\pi \implies A\approx 6.28[/tex]

Answer:

x-intercept: (8/5, 0)

y-intercept: (0, 8)

Step-by-step explanation:

y = mx + b has y-intercept at b.

y = -5x + 8 has y-intercept at 8. The point is (0, 8).

The x-intercept occurs when y = 0.

-5x + 8 = 0

-5x = -8

x = 8/5

The x-intercept is 8/5, so the point is (8/5, 0).