How to find length of major arc

Answer: 106 km/h,2.5 hr

Step-by-step explanation:

Given

The train travels 315 km in the same time car travels 265 km

The average speed of the train is 20 kmph faster than car

Suppose, speed of the car is v and it travels 265 km in t hours

[tex]\therefore \dfrac{315}{v+20}=\dfrac{265}{v}\\\\\Rightarrow 315v=265\left (v+20\right)\\\\\Rightarrow 315v=265v+5300\\\Rightarrow 50v=5300\\\Rightarrow v=106\ km/h[/tex]

Time taken to travel is

[tex]\Rightarrow t=\dfrac{265}{106}}\\\\\Rightarrow t=2.5\ h[/tex]

Answer:

5th Avenue and 8th street

Step-by-step explanation:

The points are (3,5)  and (9,14) for their locations where x= avenue and y= street.

The distance is 1/3 so it can be calculated in the following way

1/3 of ( 9-3) +3 = 1/3*6 + 3= 2+3= 5

1/3 of (14-5) + 5= 1/3*9 + 5= 3+5=8

5th Avenue and 8th street

Pierre and Maria will meet at 5th Avenue and 8th street

Answer:

5) 1: 63

  2: 117

  3: 63

  4: 117

  5: 63

  6: 117

  7: 63

  8: 117

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

The answer is=>b.Salary.

hope this helps,have a great day!!

~Pinky~

In the given question, the form of payment is salary.

When someone is paid a certain amount of money for his/her work on a daily, weekly, monthly, or yearly basis is called salary.

Given, I'm getting paid a sum of $42000 per year.

It is not a commission. Because, I'm not getting paid any form of compensation here.

The paid amount is fixed here. Therefore, it is not a wage.

It is not a pension. Because, I'm not getting paid after the retirement.

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Answer:

6 kilometers

Step-by-step explanation:

2x3=6

please brainiest

Answer:

It explicitly states that 1cm represents a distance of 3km.

If the two places are 2cm apart...

it simply means that they're 6km apart!.

Answer:the  pair of simultanous equations that model Andy's and Ron's ages are

3A-2R=6----Equation 1

R-A =2----Equation 2

Andy is 10 Years and Ron is  12 years  

Step-by-step explanation:

Andy's age is represented as A

and Ron';s age is represented as R

Now if Andy multiplies his own age by 3. He then subtracts twice Ron's age. ​The answer is 6 can be expressed mathematically as

3A-2R=6

And if Ron subtracts his age from Andy's age. ​The answer is −2  can be expressed as

R-A =2

Therefore the  pair of simultaneous equations that model Andy's and Ron's ages are

3A-2R=6----Equation 1

R-A =2----Equation 2

Solving becomes

3A-2R=6----Equation 1

R-A =2----Equation 2

Make R subject formulae in equation 2

R =2+A

Putting R =2+A in equation 1

3A-2(2+A)=6

3A -4-2A =6

A-4=6

A=6+4=10

From eqn 2,

R-A =2

R-10 =2

R=10+2=12

Andy is 10 Years and Ron is  12 years  

3/12=1/4

1/4×150=37.5 then round

Answer=38

Answer:

Step-by-step explanation:

Answer:

10/33 there 33 chocolates in the bag but only 10 are dark chocolate

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

Strawberry = 14

blueberry = 14

cherry = 7

chocolate = 7

apple = 14

Answer:

105 catfish

Step-by-step explanation:

48 - 3 = 45

45 + 60 = 105

Answer:

x = -2+√3i and -2-√3i

Step-by-step explanation:

The formula for the general formula is expressed as;

x = -b±√b²-4ac/2a

Given the expression

x²+4x+7 = 0

a = 1, b = 4 and c = 7

Substitute

x = -4±√4²-4(1)(7)/2(1)

x  = -4±√16-28/2

x = -4±√-12/2

x = -4±√4*-3/2

x = -4±2√-3/2

x = -4±2√3i/2

x = -4+2√3i/2 and  -4-2√3/2

x = -2+√3i and -2-√3i

Step-by-step explanation:

Find angle W first:

37 + 93 + W = 180 ---> W = 50°

Use sine law to find the length w:

w/(sin 50) = 31/(sin 37)

w = 31(sin 50/sin 37)

= 39.5

Answer:

4  3/11

Step-by-step explanation:

Find the function of the first two points

slope = delta y/delta x

slope = y1-y2/x1-x2

slope = (11-(-1))/(-10-1)

slope = 12/-11

Find the y intercept

y=(-12/11)x+b

-1 = (-12/11)*-1+b

-1 = 12/11+b

-23/11=b

y=(-12/11)x-23/11

Plug in x to find y

y=(-12/11)2-23/11

y= 4  3/11

Answer: 4

Step-by-step explanation:

Answer:

800 bacteria

Step-by-step explanation:

yw<3

Answer:

B. 23/5 simplified to 4 3/5

Answer:

B. 23/5

Step-by-step explanation:

4 (whole number) ×5 (denominator) =20

20 + 3 (numerator) = 23

Ans = 23/5

Answer:

Positive

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

All you have to do is plug in a. In this case, a=3.

21/a+4

21/(3)+4

21/3+4

7+4

11

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Answer:

11

Step-by-step explanation:

Follow the order of operations, PEMDAS.

First, divide, then add. Plug in 3 for a in the given expression:

21/(3) + 4

Divide, then add:

(21/3) + 4

7 + 4 = 11

11 is your answer.

~

4π

As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:

A = [tex]\frac{1}{2}[/tex] x b x h      -------------(i)

Where;

A = 18[tex]\sqrt{3}[/tex]

b = XZ = base of the triangle

h = YZ = height of the triangle = 6

Substitute these values into equation(i) and solve as follows:

18[tex]\sqrt{3}[/tex] =  [tex]\frac{1}{2}[/tex] x b x 6

18[tex]\sqrt{3}[/tex] =  3b

Divide through by 3

6[tex]\sqrt{3}[/tex] =  b

Therefore, b = XZ = 6[tex]\sqrt{3}[/tex]

Now, assume that the circle is centered at O;

Triangle XOZ is isosceles, therefore the following are true;

(i) |OZ| = |OX|

(ii) XZO = ZXO = 30°

(iii) XOZ + XZO + ZXO = 180°   [sum of angles in a triangle]

=>  XOZ + 30° + 30° = 180°

=>  XOZ + 60° = 180°

=>  XOZ = 180° - 60°

=>  XOZ = 120°

Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;

[tex]\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}[/tex]

[tex]\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}[/tex]

[tex]\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}[/tex]

[tex]\frac{1}{12} = \frac{1}{2|OZ|}[/tex]

[tex]\frac{1}{6} = \frac{1}{|OZ|}[/tex]

|OZ| = 6

The radius of the circle is therefore 6.

Now, let's calculate the length of the arc XZ

The length(L) of an arc is given by;

L = θ / 360 x 2 π r          ------------------(ii)

Where;

θ = angle subtended by the arc at the center.

r = radius of the circle.

In our case,

θ = ZOX = 120°

r = |OZ| = 6

Substitute these values into equation (ii) as follows;

L = 120/360 x 2π x 6

L = 4π

Therefore the length of the arc XZ is 4π

Answer:

a

Step-by-step explanation:

[tex]\frac{3x}{x-1}[/tex] + [tex]\frac{8}{x-1}[/tex]

These fractions have a common denominator and so do not require to be altered.

The numerators can be added to simplify, that is

= [tex]\frac{3x+8}{x-1}[/tex]

The remaining fractions have different denominators and would require to be altered before they could be added.

Answer:

There are three ways to solve systems of linear equations: substitution, elimination, and graphing.

Answer:

68, 97, 81, 96, 84.2

Step-by-step explanation:

16. The minimum of the data is the smallest value. Take the smallest stem value and find its smallest leaf value, you'll get 68.

17. Take the largest stem value and find its largest leaf value. That's 97.

18. Counting the number of values, there are 10 values here. So you need to look at the mean of the 5th and 6th values. (80 + 82) ÷ 2 = 81

19. Mode: the most frequently occurring value. All values in this dataset are unique except for the two 96s in the last row, hence 96 is the mode.

20. Add all values and divide your result by the number of values.

(68+75+77+79+80+82+92+96+96+97) ÷ 10 = 84.2

Hence 84.2 is your mean.

Answer: type this in bitly

Step-by-step explanation: 3f3FcEi

The value of x is 5 if pq=3x+4 and the perimeter of pqr=57 after using the concept of the triangle.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

if PQ = 3x+4 and the perimeter of PQR = 57,

3(3x + 4) = 57

9x + 12 = 57

9x = 45

x = 5

Thus, the value of x is 5 if pq=3x+4 and the perimeter of pqr=57 after using the concept of the triangle.

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Answer:

Radius= 9 in.

Circumference= 2π*9=56 (rounded)

So you'd get at least 56 pieces in the crust of the pizza.

Divide the answer by 8 to get the average number of piece per slice.

56/8

= 7 pieces approximately.

thenks and pls mark me brainliestt :))

Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

Answer:

300

Step-by-step explanation:

Answer:

V≈9424.78in³

Step-by-step explanation:

Solution

V=πr2h=π·102·30≈9424.77796in³

Answer: A

Step-by-step explanation:

I took the test

About what percentage of people had a score between Janine's and Laura's scores?

Answer:

Its D) 36%