high speed train travels at a speed of 200 km/h if the train sets off from station A at 12 24 and reaches station B AT 14 12 find the distance in between two stations giving your answer in meters.

Answer:

[tex]\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}[/tex]

Explanation:

If you recall the unit circle [from the polar graph], you would have no trouble at all figuring this out, but sinse you have trouble, do not worry about it. So, here is what you should have realised:

[tex]\displaystyle \boxed{\frac{\pi}{2}} = \frac{6}{12}\pi[/tex]

If you did not notise, [tex]\displaystyle \frac{7}{12}\pi[/tex]is just [tex]\displaystyle \frac{\pi}{12}[/tex]more than [tex]\displaystyle \frac{\pi}{2},[/tex]which means the exact value could possibly have a 4 in its denominatour [which obviously also has a desimal value] or could be irrational [values that cannot be written as fractions]. In this case, according to the unit circle, you will have a fraction, and that will be this:

[tex]\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}[/tex]

It is all about memorisation of the unit circle, which I know is difficult, but you will get used to it soon.

*Now, if you had to find [tex]\displaystyle cos\:\frac{7}{12}\pi,[/tex]then the exact value would be the OPPOCITE of the exact value of [tex]\displaystyle sin\:\frac{7}{12}\pi,[/tex]which is [tex]\displaystyle -\frac{\sqrt{2} + \sqrt{6}}{4},[/tex]because you would be crossing into the second quadrant where the x-coordinates are negative, accourding to both the cartesian and polar graphs.

I am joyous to assist you at any time.

Answer:

sum of 22nd = 1,428.05

sum of 23 to 40 is 932.53

Step-by-step explanation:

A(n)=20(1.1)^n-1

20 is the first term or a1

1.1 is the common ratio or r

A(22) = 20(1.1)^22-1

22nd term = 20(1.1)^21

22nd term = 148.00

sum of geometric sequence

formula

Sn = a1(1-r^n)/1-r

Sn = sum

a1 = first term

n = number of term

r = constant ratio

sum of 22nd = 1,428.05.

23 to 40 is 17 terms

Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...

The 17th term: 105.684378686

Sum of the first 17 terms: 932.528165548

socratic

miniwebtoolcomgeometricsequencecalculator

His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.

A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

Antonio is working with a new geometric series generated by the equation that is

[tex]A_{n}=20(1.1)^n-1.[/tex]

His sister challenged him to find the sum of the first 22 terms will be given as

[tex]Sn = \dfrac{a(r^n - 1) }{ (r - 1)}[/tex]

We have

a = 20

r = 1.1

n = 22

Then

[tex]\rm S_n = \dfrac{20(1.1^{22} - 1) }{ (1.1 - 1)}\\\\\\S_n = \dfrac{20(8.14 - 1) }{ 0.1}\\\\\\S_n = \dfrac{20*7.14 }{0.1}\\\\\\S_n = 1428.05[/tex]

His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.

More about the series link is given below.

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Answer:

73 is the answer 100%

Step-by-step explanation:

Hoped this helped a little at least :)

*UPDATED*

Using abosute value formulas:

|a + bi| = sqrt( a + bi)(a-bi) = sqrt(a^2 + b^2)

In the given equation a = 3 and b = 8

sqrt(3^2 + 8^2)

Sqrt(73)

Answer: sqrt(73)

Answer:

220

Step-by-step explanation:

First you divide 15 by 2 then you take the answer and multiply the 1750 . Last but not least you divide the answer by 60 to get your answer

Answer:

1.5

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction.

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Explanation:

Locate x = 0 on the x axis number line.

Then move up or down until you reach the blue curve. In this case we move upward.

You should arrive at y = 4

This means (x,y) = (0,4) is a point on the blue cubic curve, and that f(0) = 4.

Answer:

(a) 28π cm

(b) 88 cm

Step-by-step explanation:

Part A — Give an exact answer in terms of π.

To find circumference of a circle, our formula is:

[tex]\displaystyle \large{C=2\pi r}[/tex]

Where:

Radius is,the line segment or value from center to one of endpoints. Our radius is given as 14 cm in the shown attachment.

Henceforth, our circumference is:

[tex]\displaystyle \large{C=2\pi \cdot 14}\\\displaystyle \large{C = 28\pi}[/tex]

So for part A, the circumference is 28π cm.

Part B — Use π ≈ 22/7 and express your answer as a fraction in lowest terms.

For this part, use the circumference that we solved from part A:

[tex]\displaystyle \large{C=28\pi}[/tex]

Substitute π = 22/7 in.

[tex]\displaystyle \large{C \approx 28\cdot \frac{22}{7}}\\\displaystyle \large{C \approx 4\cdot 22}\\\displaystyle \large{C \approx 88 \ cm}[/tex]

Henceforth, the circumference in Part B is approximately 88 cm.

Answer:

The number is -3

Step-by-step explanation:

First, let's translate the statement into an equation.

Step 1: Subtract 2x from both sides.

Step 2: Divide both sides by 2.

Therefore, the number is -3/

If the number times four is six less than twice the number then the number will be -3.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

let the number be x.

According to the questions the following equation can be made:

4x=2x-6

We have multiplied by 4 with the number and 2 with number and subtracted 6 because it is given that 4 times the number is equal to twice the number less 6.

Now we have to solve the equation for x.

4x-2x=-6

2x=-6

x=-6/2

x=-3

Hence if the number times four is six less than twice the number then the number will be -3.

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The cost of the circular glass piece will be equal to $9. 24

It is given that

The radius of the circular glass piece [tex]r= 0.8 meters[/tex]

The selling price of glass per square meter = $4. 60

Now find the area of the circular glass piece

[tex]A= \pi r^{2}[/tex]

[tex]A=\pi \times (0.8)^{2}[/tex]

[tex]A=2.01 m^{2}[/tex]

Now cost of the glass piece =

[tex]=Area \times selling price of glass pieces per square meter area[/tex]

[tex]= 2.01\times4.0=9.24[/tex]

Thus the cost of the circular glass piece will be equal to $9. 24

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Answer:

7+8+6+5+4 = 30

30+1=31

31/2 = 15.5

Answer = 60-70

Step-by-step explanation:

Put the results in numerical order (in a frequency table this will already be done)

Count the total amount of results and add one

Divide this by 2 to find the position of the middle result

Find the middle result in the numerically ordered list or frequency table

You will then have the median of the set of results

Answer:

Step-by-step explanation:

The opposite angles formed by two intersecting straight lines are equal:

(2x+6) = 80°

2x = 74°

x = 37°

Answer:

X = 37

Step-by-step explanation:

These are vertically opposite angles and thus equal.

Therefore,

[tex]2x + 6 = 80[/tex]

[tex]2x = 74[/tex]

[tex]x = 37[/tex]

Answer:

D. 35 of teenagers chose to listen to Music

Step-by-step explanation:

We are given the following info

All we have to do next is find the percentage of Teenagers that Listened to music which is already given to us: 28%

Now we find 28% of 125 and we get 35 teenagers

Hope I could help

Answer:

35

Step-by-step explanation:

28%of 125 = 35

16% of 125 = 20

24% of 125 = 30

32% of 125 = 40

Answer:

The value of Mary's investment after two years = £12362.7

Step-by-step explanation:P = Principal / initial amountR = rate of interest per cent per yearT = number of yearsA = final amount at the end of T yearsThen:A = P*(1 + R/100)^2In our example:P = £12000R = 1.5 per cent per yearT = 2 yearsThus:A = 12000*(1 + 1.5/100)^2   = 12000*(1 + 0.015)^2   = 12000*(1.015)^2    = 12000*(1.030225)    = 12362.7Value of investment after two years = £12362.7

113 in .8 hours

113 / 4 in .2 hours

28.25 in .2 hours

28.25 * 5 in 1 hour

141.25 in 1 hour

141.3 mph

Answer:

hope u understand

180°-142°=38°

x=38°

here is your answer

mark as brilliant and follow pls

Answer:

142

Step-by-step explanation:

because it is an obtuse angle and it is equvilent to an exteroir angle which is also 142 degrees

pls mark brainliest

The given equation is an equation of a circle because it looks similar to the general equation of a circle.

The general equation of a circle is:

x² + y² +2gx + 2fy + c = 0...........eq1

Where (-g, -f) is the center of the circle.

c is a constant

Given equation is

3x² +6x + 3y²+7y+4 = 0

Let us take 3 as common

x² + 2x+y²+7/3y + 4/3 = 0

Let us rearrange the equation

x² + y²+2x +7/3y + 4/3 = 0...........eq2

Now look at eq1 and eq2

We got that eq2 is having a similar pattern as eq1.

Therefore, The given equation is an equation of a circle.

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Answer:

circle A = C

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

30 x 1/3 = 10

aka if you do something 30 times and every 3 times it happens you do it 10 times.

Answer:

Subtract 1/4x from each side (Yes)

Answer:

no, yes, yes, no, no, yes

Step-by-step explanation:

FATHER = 123456

That means that each letter of father represents the following numbers:

Now,

Let's see the given code

4526

Which letters are they representing, Let's see:

Thus, 4526 is the code for the word Hear...

The length of the guys wire should be = 22.1 feet

The pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides.

Therefore,

[tex]c {}^{2} = 20.4 {}^{2} + 8.5 {}^{2} [/tex]

[tex]c {}^{2} = 416.16 + 72.25[/tex]

[tex]c {}^{2} = 488.41[/tex]

[tex]c = \sqrt{488.41} [/tex]

c = 22.1 feet.

Where c represents the length of the guys wire

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Answer:

v/lw=h

Step-by-step explanation:

I hope this helps and have a good day

Answer: An Electric Store

Step-by-step explanation: Hoped This Helped! Thx For The Points!

Answer:

B

Step-by-step explanation:

an electronics store

Answer:

5 units

Step-by-step explanation:

The base of a triangular prism is the area of the triangle, i.e. the area of the cross-section.

The "height" of this triangular prism is the depth of the shape (the wording of the question is confusing!).

Volume of the prism = area of cross-section × height

                                  = area of triangle × depth of shape

If the volume of the prism is 130 units³ and the area of the base is 26 units², substitute these values into the above formula to find the height:

⇒ 130 = 26 × height

⇒ height = 130 ÷ 26

⇒ height = 5 units

Answer: 10

Step-by-step explanation:

This problem depends on how you view "volume." In this case, I would view the volume as taking the surface area of the triangle, and then multiplying it by the small width it has. This will take the area and scale it across the entire volume. So, taking the area of a triangle and multiplying it by the width, you get:

[tex]Volume=Area*Width[/tex]

[tex]Volume=(\frac{1}{2} bh)*w[/tex]

We weren't given the actual base, but instead given the base area. That's easily undoable since the area of a rectangle is easy. Its simply, length times width.

[tex]Area=l*w[/tex]

We want the length here. The length of the rectangle is equivalent to the base of the triangle. Solve for the length of the rectangle to get:

[tex]Length=Base=Area/Width[/tex]

Lets plug in this "base" value into the formula for the volume of the figure:

[tex]Volume=(\frac{1}{2} (A/w)h)*w[/tex]

Plug in the given values. First though, you'll notice the width cancels giving:

[tex]Volume=(\frac{1}{2} Ah)[/tex]

[tex]130=(\frac{1}{2} 26*h)[/tex]

[tex]130=13h[/tex]

[tex]h=10[/tex]

Answer:

18:1

Step-by-step explanation:

Let's verify

As LHS not equal to RHS

Answer:

•The prime factorization of 20 using exponents is 22*5 2 2 ∗ 5 .

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Answer:

x=1

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 5x – 2

f(x) = g(x)

2x+1 = 5x-2

Subtract 2x from each side

2x+1 = 5x-2-2x

1 = 3x-2

Add 2 to each side

1+2 =3x-2+2

3 = 3x

Divide by 3

3/3 =3x/3

1 =x

Answer:

8/9 x 5

5 x 1/9 x 8

5 x 8 divided by 9

Step-by-step explanation:

5/9 = 0.5555*8 =4.444

8/9 = 0.8888*5 =4.444

5*1/9 = 0.5555*8 =4.444

5*8 = 40/9 =4.444

Using conditional probability, it is found that there is a 0.5714 = 57.14% probability that the student speaks ilocano given that he speaks kankanaey.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, the events are given as follows:

Hence, the parameters are given as follows:

[tex]P(A \cap B) = 0.4, P(A) = 0.7[/tex]

Then, the probability that the student speaks ilocano given that he speaks kankanaey is given by:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714[/tex]

More can be learned about conditional probability at https://brainly.com/question/14398287