Rahmat wants to meet Ah Chong at his house. He has two options, whether via the road by walking 195 m to west and 28 m to north or he can pass through a field directly to Ah Chong's house. Which option is faster to Ah Chong's house? Then, find the difference between the distance via the road and through the field.​

Rahmat Wants To Meet Ah Chong At His House. He Has Two Options, Whether Via The Road By Walking 195 M

Answers

Answer 1

Answer:

197 m26 m

Step-by-step explanation:

Use Pythagorean to find the distance through the field:

[tex]d = \sqrt{195^2+28^2} =\sqrt{38809} =197[/tex]

Difference between two options:

(195 + 28) - 197 = 26 m
Answer 2

Answer:

It is faster to walk through the field and directly to Ah Chong's house.

The difference between the distance via the road and through the field is 26 m.

Step-by-step explanation:

The scenario can be modeled as a right triangle (see attached diagram).

Option 1Walk 195 m west and 28 m north.

⇒ Total distance = 195 + 28 = 223 m

Option 2Walk directly to Ah Chong's house through the field.

To calculate this distance (hypotenuse of the right triangle), use Pythagoras Theorem.

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.

[tex]\implies 195^2+28^2=c^2[/tex]

[tex]\implies c^2=38025+784[/tex]

[tex]\implies c^2=38809[/tex]

[tex]\implies c=\sqrt{38809}[/tex]

[tex]\implies c=197[/tex]

Therefore, the distance for option 2 is 197 m.

Difference

Option 1 - Option 2 = 223 - 197 = 26 m

Conclusion

As 197 < 223, it is faster for Rahmat to walk through the field and directly to Ah Chong's house (option 2).

Learn more about Pythagoras Theorem here:

https://brainly.com/question/27648540

https://brainly.com/question/27988757

Rahmat Wants To Meet Ah Chong At His House. He Has Two Options, Whether Via The Road By Walking 195 M

Related Questions

do you think i can pass 7th grade with at least a B i have to make them 80%.

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

I passed 7th grade with a B

The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright

Answers

Answer:

It's obtuse.

Step-by-step explanation:

Mumble. Smells al-kashi laws of cosine to me.

[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]

Now, we don't need to calculate the RHSs, and then:

If at least one of the three LHSs is greater than zero, the triangle is obtuse

If at least one is zero, it's a right triangle (pythagorean theorem anyone?)

if all three numbers are less than zero, the triangle is acute

Start crunching numbers.

[tex]139-73-36 = 30[/tex] First try was  the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED

can anyone please help me with this I am stuck on this

Answers

Answer: 7.2

Step-by-step explanation: u times 0.9 by 15, then separately u times 2.1 by 3. then u take both numbers and subtract.

Answer:

Step-by-step explanation:

0.9d - 2.1f = 0.9*15 - 2.1*3

                 = 13.5 - 6.3

                 = 7.2

Part B: If (5^0)x = 1, what are the possible values of x? Explain your answer.

Answers

[tex]x = 1[/tex]

hope it helps

For this case we have the following expression:

(5⁰) = 1

By definition of power properties we have to:

(an)m = ɑn*n

Then, rewriting the expression:

5º = 1

Thus, the variable "x" can take any value:

Answer:

The variable "x" can take any value


Can someone help me with this I’m not getting it

Answers

Answer:

n = 3.5

Step-by-step explanation:

basically it's saying that 2.8 is proportional to 4.8 as n is proportional to 6. therefore:

2.8/4.8 = n/6

0.583 = n/6

3.5 = n

recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.​

Answers

Answer:

5 cups of flour need to make two cakes

The length of a rectangle is 5 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.

Answers

Answer:

Length 20

Width 15

Step-by-step explanation:

can someone please help me! :) ​

Answers

A all the other answers are too high or too low for the day on speaker

Pls answer the questions, I would really appreciate it, thx, :)

Answers

Answer:

7V

The average amount of minutes exercised on each day

Step-by-step explanation:

We are given that every day "V" amount of vegetables are eaten everyday.

If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V

E = ( M + W + F ) / 3

M = # of minutes exercised on Monday

W = # of minutes exercised on Wednesday

F = # of minutes exercised on Friday.

Note that to find the average of something you find the sum of the values and divide that by the number of values.

The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.

Campbell food distribution pays frank bell a $1290 monthly salary plus a 11% commission on merchandise he sells each month. assume franks sales were $31,600 for last month.
Calculate the following amounts:
1. Amount of commission:
2. Gross pay:

Answers

Answer:

1. Amount of commission =$3476

2.Gross pay = $4766

Step-by-step explanation:

commission =(11/100)×31,600

=$3476

Gross pay = 3476+1290

=$4766

Which of the following expressions has the greatest​ value?

Answers

Answer:

[tex](0.1)^2[/tex]

Step-by-step explanation:

The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.

Hey there!

Option A.

0.01^4

= 0.01 * 0.01 * 0.01 * 0.01

= 0.0001 * 0.0001

= 0

Option B.

0.1^4

= 0.1 * 0.1 * 0.1 * 0.1

= 0.01 * 0.01

= 0.0001

Option C.

0.01^3

= 0.01 * 0.01 * 0.01

= 0.001 * 0.01

= 0.00001

Option D.

0.1^2

= 0.1 * 0.1

= 0.01

“ 0.01 > 0.0001 > 0.00001 > 0”

Therefore, your answer should be: 0.1^2 (option D)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What is the range of the graphed function?
O [x1-2 O [yI-2 O {x | x is a real number}
O [vl y is a real number}

Answers

Answer:

first one my sister tried it

Step-by-step explanation:

Please solve these.
You will get all of my points if you get all of them correct

Answers

Answer:

Step-by-step explanation:

1) Area of triangle= 1/2 x b x h

b = 7.6cm h= 3.4cm

Area= 1/2 x 7.6 x3.4 = 12.92cm²

2)Divide the shape into a triangle and a rectangle

Area of rectangle : l x b

L= 20cm, b= 7cm

= 20 x 7 = 140 cm²

Area of triangle =1/2 x b xh

B = 20cm, h= 16 - 7 = 9cm

1/2 x 20x 9= 90cm²

Total area = 140 + 90 = 230cm²

3) area of triangle = 1/2 x b x h

B = 12cm, h= 5cm

= 1/2 x 12 x 5 = 30cm²

4) area of triangle = 1/2 x b x h

B = 15cm, h= 8cm

= 1/2 x 15 x 8 = 60cm²

5) divide the shape into two rectangles; the lower and the upper

Area of rectangle= l x b

Upper rectangle, l= 10cm, b= 27 - 9 = 18cm

Area= 10 x 18= 180cm²

Lower rectangle, l= 24cm, b= 9cm

Area = 24 x 9= 216cm²

180 + 216 = 396cm²

Whats this, smallest to largest?
0.1

0.11

0.01

0.101​

Answers

Answer:

0.01, 0.1, 0.101, 0.11

Step-by-step explanation:

0.01, 0.1,0.101,0.11

HI GUYS COULD SOMEONE PLEASE HELP ME???
I REALLY NEED HELP ILLL GIVE BRAINLIEST
I JUST REALLY NEED TO FINISH

Answers

Answer:

57.43

Step-by-step explanation:

I hope this.helps

4.2 = c/-8.5 + 10.7
A. 55.25
B. -126.65
C. -55.25
D. 126.65​

Answers

Answer: Number C

Step-by-step explanation:

Solve

1

Find common denominator

4

.

2

=

8

.

5

+

1

0

.

7

4.2=\frac{c}{-8.5}+10.7

4.2=−8.5c​+10.7

4

.

2

=

2

1

7

+

1

7

1

0

.

7

1

7

4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}

4.2=−172c​+−17−17⋅10.7​

2

Combine fractions with common denominator

4

.

2

=

2

1

7

+

1

7

1

0

.

7

1

7

4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}

4.2=−172c​+−17−17⋅10.7​

4

.

2

=

2

1

7

1

0

.

7

1

7

4.2=\frac{2c-17 \cdot 10.7}{-17}

4.2=−172c−17⋅10.7​

3

Multiply the numbers

4

.

2

=

2

1

7

1

0

.

7

1

7

4.2=\frac{2c{\color{#c92786}{-17}} \cdot {\color{#c92786}{10.7}}}{-17}

4.2=−172c−17⋅10.7​

4

.

2

=

2

1

8

1

.

9

1

7

4.2=\frac{2c{\color{#c92786}{-181.9}}}{-17}

4.2=−172c−181.9​

4

Multiply all terms by the same value to eliminate fraction denominators

4

.

2

=

2

1

8

1

.

9

1

7

4.2=\frac{2c-181.9}{-17}

4.2=−172c−181.9​

1

7

4

.

2

=

1

7

2

1

8

1

.

9

1

7

-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}

−17⋅4.2=−17⋅−172c−181.9​

5

Cancel multiplied terms that are in the denominator

1

7

4

.

2

=

1

7

2

1

8

1

.

9

1

7

-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}

−17⋅4.2=−17⋅−172c−181.9​

1

7

4

.

2

=

2

1

8

1

.

9

-17 \cdot 4.2=2c-181.9

−17⋅4.2=2c−181.9

6

Multiply the numbers

1

7

4

.

2

=

2

1

8

1

.

9

{\color{#c92786}{-17}} \cdot {\color{#c92786}{4.2}}=2c-181.9

−17⋅4.2=2c−181.9

7

1

.

4

=

2

1

8

1

.

9

{\color{#c92786}{-71.4}}=2c-181.9

−71.4=2c−181.9

7

Add

1

8

1

.

9

181.9

181.9

to both sides of the equation

7

1

.

4

=

2

1

8

1

.

9

-71.4=2c-181.9

−71.4=2c−181.9

7

1

.

4

+

1

8

1

.

9

=

2

1

8

1

.

9

+

1

8

1

.

9

-71.4+{\color{#c92786}{181.9}}=2c-181.9+{\color{#c92786}{181.9}}

−71.4+181.9=2c−181.9+181.9

8

Simplify

Add the numbers

Add the numbers

1

1

0

.

5

=

2

110.5=2c

110.5=2c

9

Divide both sides of the equation by the same term

1

1

0

.

5

=

2

110.5=2c

110.5=2c

1

1

0

.

5

2

=

2

2

\frac{110.5}{{\color{#c92786}{2}}}=\frac{2c}{{\color{#c92786}{2}}}

2110.5​=22c​

10

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

=

55.25

Answer:

A.55.25

Step-by-step explanation:

4.2 = c/-8.5 + 10.7

4.2 - 10.7 = c/-8.5

-6.5 = c/-8.5

-6.5 . -8.5 = c

55.25 = c

Solve the equation.
2/3-4x+7/2 = -9x5/6

If necessary:

Combine Terms


Apply properties:
Add
Subtract
Multiply
Divide
To start over:
Reset

Answers

Answer:

x = - 25/21

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

The solution to the equation 2/3 - 4x + 7/2 = -9x * 5/6 is x = 25/21.

To solve the equation: 2/3 - 4x + 7/2 = -9x * 5/6

Let's first combine like terms on the left side:

2/3 + 7/2 - 4x = -9x * 5/6

To add the fractions, we need a common denominator:

The common denominator for 3 and 2 is 6. So, we rewrite 2/3 as 4/6:

4/6 + 7/2 - 4x = -9x * 5/6

Now, we can add the fractions:

(4/6) + (7/2) = (8/12) + (42/12) = 50/12 = 25/6

The equation becomes:

25/6 - 4x = -9x * 5/6

Now, let's simplify further:

25/6 - 4x = -45x/6

To eliminate the fractions, we can multiply both sides by 6:

6 * (25/6 - 4x) = 6 * (-45x/6)

This simplifies to:

25 - 24x = -45x

Next, let's gather the x terms on one side of the equation:

-24x + 45x = 25

Combining the x terms:

21x = 25

Finally, solve for x by dividing both sides by 21:

x = 25/21

Therefore, the solution to the equation is x = 25/21.

To know more about solution, refer here:

https://brainly.com/question/16235478

#SPJ2

What is the complete factorization of the polynomial below?
x - x2 + x - 2

Answers

x^3 + 2x^2 + x + 2 = (x^2 + 1) (x + 2).

HELP ME OUT PLEASE I RLLY NEED IT ASAP. ):

Answers

(a) Slope is rise over run, or change in y over change in x.

1 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{4 - -8}{-1 - -5} = \frac{4 + 8}{-1 +5}= \frac{12}{4} =\frac{12}{4}[/tex] )

2 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{1 - 7}{0 - 2} = \frac{-6}{- 2} =\frac{6}{2}[/tex] )

3 -> -1/3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-7 - -3}{6 - -6}= \frac{-7+3}{6+6}=\frac{-4}{12}=-\frac{1}{3}[/tex] )

(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.

1 & 2 -> Parallel

1 & 3 -> Perpendicular

2 & 3 -> Perpendicular

     Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Line 1: slope: 1

Line 2: slope: -3/2

Line 1 and line 2: neither

Line 3 slope: - 1/3

Line 1 and 3: neither

Line 2 and 3: neither

Step-by-step explanation:

Line 1: (-5,-8) and (-1,4)

Slope: (4 - - 8)/(-1 - - 5) = 12/4 = 3

Line 2: (2,7) and (0,10)

Slope: (10 -7)/(0 - 2) = 3/-2 = -3/2

Line 3. ((-6,-3) and (6,-7)

Slope: (-7 - - 3)/(6 - -6)= -4/12= -1/3

If the nth term of a number sequence is 5n – 2n, find the first 3 terms and the 10th term.​

Answers

Answer:

0,3,6, and 30

Step-by-step explanation:

HELP ME PLEASE!!!!!!!!​

Answers

Answer: C

Step-by-step explanation: the key is to look at the relationships between the numbers. The y value increments by 5.5 or 5 respectively, which LOOKS like additive. However, it is actually multiplicitve, since the question is the relation between X and y, not the y values. From there you can simply test that 5x1=5, 5x2=10, etc, etc.

Slope of -7 includes point (3,p) and (2,2). What is the value of p?

Answers

Answer:

p = - 5

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

( 3 , p )

( 2 , 2 )

m = - 7

[tex]\frac{2-p}{2-3}[/tex] = - 7

2 - p = - 7 ( - 1 )

2 - p = 7

p = - 5

What is the slope of (1,3/4) and (4,-3)

Answers

Answer:

=-0.75

Step-by-step explanation:

S=y2_y1/x2_x1

Where x1=1

Y1=3/4

X2=4

Y2=-3

Can someone help me find the angles of R, S, and U? ive already solved the other ones

Answers

Assuming the angle congruent to r is not a right angle, we can solve for a supplementary one.

70 + x + x=180

70 + 110=180

110 can be broken down into 55, which we can use for the other two sides.

I’m gonna assume angle R is 55°.

For angle S, same thing. 62 + x=180

The value for it is 118, half it and you get 59°.

Last but not least, angle u. Angle u is diff bc it’s complimentary. We know that one side equals 59°, so subtract 59 from 90, and the value of angle U is 31°.

Hope this helps! It’s been a while since I was in geometry so I hope I’m right too aha

Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd

Answers

Answer:

whats

Step-by-step explanation:

[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]

Help help help help help help

Answers

We can find out if the angles are the same by adding them

180 = 6x + 4x + 10 + 10x + 70

180 = 20x + 80

100 = 20x

x = 5

6x = 30

4x + 10 = 30

10x + 70 = 120

From this information, we can conclude that this is an obtuse triangle (iv.) and that this is and isosceles (ii.).

The answer is ii. and iv. which is B

1.
What is the sum of
4 |
22 (1 point)
+
+
3
011
o

IN IN NII am |
0
0 0

Answers

Answer:

B. One whole number one over two. 1½

PLZ HELP ME D HOW J IT EHJ

Answers

180 and 20 other words eeeee

Rachel has a $23,000 six year loan with APR of 7.25%

Answers

Answer:6,000 is the answer

Step-by-step explanation:

there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds​

Answers

Answer:

Step-by-step explanation:

The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.

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