The total distance from Timothy's house to his school was 9.18km. He travelled by bus for part of the journey and walked the rest of the way. The distance he walked was 7.95km less than the distance he travelled by bus. How far Timothy walk?​

Answer:

342.24 units²

Step-by-step explanation:

The area of one of the 8 triangular sections of the octagon is ...

A = (1/2)r²·sin(θ) . . . . . where θ is the central angle of the section

The area of the octagon is 8 times that, so is ...

A = 8·(1/2)·11²·sin(360°/8) = 242√2

A ≈ 342.24 units²

Answer

value of x is 34 degrees  

Step-by-step explanation:

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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There are six 1/6’s in an hour

Multiply 2/3 hours by 6

2/3 x 6 = 12/3 = 4

It will take 4 hours.

Answer:

s

Step-by-step explanation:

s

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

3,0

0, -10

Step-by-step explanation:

If a is the first term of an AP with common difference -2, then the first several terms are

a, a - 2, a - 4, a - 6, a - 8, …

with n-th term a - 2 (n - 1).

The sum of the first n terms is equal to the sum of the first 3n terms :

\(\displaystyle \sum_{i=1}^n (a-2(i-1)) = \sum_{i=1}^{3n} (a-2(i-1))\)

We have

\(\displaystyle \sum_{i=1}^N (a-2(i-1)) = (a+2)\sum_{i=1}^N - 2\sum_{i=1}^Ni = (a+2)N - 2\cdot\dfrac{N(N+1)}2 = (a+1)N-N^2\)

so that in the previous equation, the sums reduce to

\((a+1)n-n^2 = (a+1)(3n)-(3n)^2\)

Solve for a :

\((a+1)n-n^2 = (a+1)(3n)-(3n)^2 \\\\ (a+1)n-n^2 = (a+1)(3n)-9n^2 \\\\ 9n^2-n^2 = (a+1)(3n)-(a+1)n \\\\ 8n^2 = (a+1)(2n) \\\\ 4n = a+1 \\\\ \boxed{a=4n-1}\)

Now if a = 27, we have

27 = 4n - 1

28 = 4n

n = 7

as required.

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

Solving the equation \(4+5(m-1)=34\\\) we get m=7

Step-by-step explanation:

We need to solve the equation \(4+5(m-1)=34\\\) and find value of m

Solving using transpose method which states that if one term is added one one side, it gets subtracted on other side of equality

\(4+5(m-1)=34\\Multiply \ 5 \ with \ terms \ inside \ the \ brackets\\4+5m-5=34\\5m+4-5=34\\5m-1=34\\Adding \ 1 \ on \ both \ sides\\5m-1+1=34+1\\5m=35\\Divide \ by \ 5\\\frac{5m}{5} =\frac{35}{5}\\m=7\)

So, solving the equation \(4+5(m-1)=34\\\) we get m=7

Answer:15

Step-by-step explanation:

Answer:

The answer is B) 75

Step-by-step explanation:

The angle shown is a 90-degree angle. Therefore if the other angle is 15 degrees, that means that all we have to do is subtract 15 from 90.

90-15= 75 which means the angle known as x is a 75-degree angle.

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The sum of both numbers is 107/12

One number is 6 3/4

The other smaller number is 2 1/6

The sum of both numbers can be calculated as follows

= 6 3/4 + 2 1/6

= 27/4 + 13/6

= 162 + 52/24

= 214/24

= 107/12

Hence the sum of both numbers is 107/12

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a) The only outcome that satisfies both events X and Y is the letter C.

b) The outcomes that satisfy either event X or event Y are {A, B, C, E, G}.

c) The complement of event X is {D, E, F, G}.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The outcomes for each of the following events are:

(a) Event "X and Y": {C}

To satisfy both events X and Y, the letter selected must come before "D" (which includes the letters A, B, and C) and must be one of the letters in the word "CAGE" (which includes only the letter C). Therefore, the only outcome that satisfies both events X and Y is the letter C.

(b) Event "X or Y": {A, B, C, E, G}

The outcomes that satisfy event X are A, B, and C (since they come before "D"), and the outcomes that satisfy event Y are C, A, G, and E (since they are letters found in the word "CAGE"). Therefore, the outcomes that satisfy either event X or event Y are {A, B, C, E, G}.

(c) The complement of event X: {D, E, F, G}

The complement of event X is the set of outcomes that do not satisfy event X. The outcomes that do not satisfy event X are D, E, F, and G (since they come after or are equal to "D"). Therefore, the complement of event X is {D, E, F, G}.

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Answer:

The Federal government relies the most on income tax.

Step-by-step explanation:

The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.

As per the given data, the given formula is:

\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.

Where,

T is the time it takes for a pendulum to make one full swing back and forth (in seconds).

L is the length of the pendulum, in feet.

Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.

Substitute the given parameters into the formula will give;

\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)

Now divide both sides by 2π.

\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)

\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)

Then taking square on both sides.

\($ (0.3024)^2=\frac{L}{32} \\\)

0.09144576 = \($\frac{L}{32}\)

Later multiply both sides by 32.

2.9262 = L

The approximate value of the length of a pendulum:

L ≈ 3

Therefore, the length of a pendulum is about 3 feet.

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Answer:

children

Step-by-step explanation:

Using a system of equations, it is found that:

------------------------

\(x + y = 108\)

Since \(x = 2y\)

\(2y + y = 108\)

\(3y = 108\)

\(y = \frac{108}{3}\)

\(y = 36\)

\(x = 2y = 2(36) = 72\)

Zoe is 36 inches tall.

Claire is 72 inches tall.

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Answer:

60 liters of 20% solution & 20 liters of 60% solution

Step-by-step explanation:

80*0.3=.2x+0.6(80-x)

24=0.2x+48-0.6x

-24=0.2x-0.6x

-24=0.4x

24=0.4x

60=x

Hope this helps!! This is step by step btw!

Answer: 80 + 2x +10 = 180

Step-by-step explanation:

Sorry if I'm wrong I just think that's the answer.

Answer: see below...

Step-by-step explanation:

Square units are when we are finding the surface area.

Since it is side x side, so ^2.

Cubic units are when we are finding the volume.

Since it is side x side x side, so ^3.

Answer:

All the possible numbers she could represent using the counters are:

0.6  |  1.5  |  2.4  |  3.3  |  4.2  |  5.1  |  6

Step-by-step explanation:

Please refer to the attached diagram for this question.

We are asked to list all the possible numbers she could represent using the counters.

The possible numbers are:

When there is 0 counter in the "ones" place and 6 counters in the "tenths" place.

0.6

When there is 1 counter in the "ones" place and 5 counters in the "tenths" place.

1.5

When there are 2 counters in the "ones" place and 4 counters in the "tenths" place.

2.4

When there are 3 counters in the "ones" place and 3 counters in the "tenths" place.

3.3

When there are 4 counters in the "ones" place and 2 counters in the "tenths" place.

4.2

When there are 5 counters in the "ones" place and 1 counter in the "tenths" place.

5.1

When there are 6 counters in the "ones" place and 0 counter in the "tenths" place.

6

Therefore, all the possible numbers she could represent using the counters are:

0.6  |  1.5  |  2.4  |  3.3  |  4.2  |  5.1  |  6

Answer:

7+12x+2y

Step-by-step explanation:

3-8+(12x + 12)+2y=

-5+(12x +12)+2y=

7+12x+2y

Answer:

Simplified, your answer should be 12x + 2y + 7

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

14 9 12 18 19 15 13

I hope this helps. :)

Answer:

+4 then +1

Step-by-step explanation:

1,4,5,6,7,10,11

Answer:

answer: negative five eighths

The solution to the expression one half cubed − 6 ÷ square root of 64 is A. negative five-eighths.

Given a fractional expression:

One half cubed − 6 ÷ square root of 64

It is required to find the value of the expression.

This can be numerically written as:

\((\frac{1}{2} )^3-6\div\sqrt{64}\)

It is known that:

\(\sqrt{64}=8\)

So, the expression can be written as:

\((\frac{1}{2} )^3-6\div8\)

Now, \((\frac{1}{2} )^3=\frac{1}{2^3}\)

                \(=\frac{1}{8}\)

So, the expression becomes:

\((\frac{1}{8} )-6\div8\)

Using the BODMAS rule, division has to be done first before subtraction.

So, the expression becomes:

\((\frac{1}{8} )-\frac{6}{8}=-\frac{5}{8}\)

Hence, the correct option is A. negative five-eighths.

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Answer:

A.

Step-by-step explanation:

if x≠-4, then the correct answer is

\(A. \ F(x)=\frac{1}{x+4}.\)

Answer:

6x^2+4xy

Step-by-step explanation:

You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)

6x^2+4xy

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The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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Answer:

A. 0.00032

Explanation:

Given the expression;

Express 0.04 as a fraction to have;

0.04 = (4/100)^5/2

Hence the correct answer is option A. 0.00032

The formula to find time from distance is time = distance/speed

As a general rule, the formula of speed is

Speed = Distance/Time

Multiply both sides by Time

Time * Speed = Distance

Divide both sides by Speed

he formula to find time from distance

Hence, the formula to find time from distance is time = distance/speed

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Answer:

a. 53.4

b. 24.4

Step-by-step explanation:

a+j=77.8

j=a-29

a+j=77.8

-a+j=-29

2j=48.8

j=24.4

a+24.4=78.8

a=53.4

Answer: is A

Step-by-step explanation: