After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns right to reach a nearby church around Rimando Road. If the displacement between the church and McDonalds is 191.442 meters, how far did Kristina travel from the three-way junction to the church?

Answers

Answer 1

Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]

Christina had to travel 125 m from the three-way junction to the church.

After Some Snacks At McDonalds At Lower Bonifacio Street, Kristina Drove 145 Meters Towards The Three-way
Answer 2

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

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Related Questions

Can you help with this problem

Answers

Answer:

The value of w is 3.

Step-by-step explanation:

Parallelograms have equal opposite side measures.

so,

6w = w +15

6w - w = 15

5w = 15

w = 3

Answer:

w=3

Step-by-step explanation:

The opposite arms of parallelogram are equal

So the equation is

6w=w+15

=>6w-w=15

=>5w=15

=>w=15/5

Therefore

w=3

If you find my answer helpful.then please mark me as brainliest

Find −523−16. Write your answer as a mixed number in simplest form.

Answers

Answer:

(-523) - 16 is -539

Step-by-step explanation:

mathmathmathmathmsthmatj

WILL GIVE BRAINLY IST TO WHOEVER answers correctly and QUICK
Lucinda is writing a coordinate proof to show that a diagonal of a parallelogram partitions the parallelogram into two equal areas.

Enter your answers in the boxes to complete Lucinda's proof.

Since KLMN is a parallelogram and a parallelogram's opposite sides are parallel and congruent, the coordinates for M are (4x,__).

In △KMN, the length of the base is ___ and the height is ___. So an expression for the area of △KMN is ___.

In △KLM, the length of the base is 3x and the height is 2y. So an expression for the area of △KLM is ___.

Comparing the area of the two triangles that are formed by a diagonal of the parallelogram shows that a diagonal of a parallelogram partitions the parallelogram into two equal areas.

Answers

Answer: Do you have a picture or a diagram

Step-by-step explanation:

Not the answer but I need help .. it’s the same question but I’ve added the diagram if anyone can help?

. $7.45 + ‐$24.45 + $74.17 + ‐$76.52

Answers

Answer:

$-19.35 or -19.35 aprox

Step-by-step explanation:

Answer:

-19.35

Step-by-step explanation:

add positives and subtract negatives

A bowl contains blueberries and strawberries. There are a total of 20 berries in the bowl. The ratio of blueberries to strawberries is 4 : 1. How many of each berry are in the bowl?

Answers

Answer:

4 strawberries

16 blueberries

Step-by-step explanation:

Given that:

Berries in bowl = strawberries and blueberries

Total number of berries = 20

Ratio of blueberries to strawberries = 4 : 1

Number of each berries in bowl:

Total ratio = (4 +1) = 5

Number of Blueberries :

(Ratio of blueberries / total ratio) * number of berries

(4/5) * 20

= 16 blueberries

Number of strawberries :

(Ratio of strawberries / total ratio) * number of berries

(1/5) * 20

= 4 strawberries

In the diagram below, which two rays are opposite one another?
A. XM and XN
B. PX and XN
C. XQ and MN
D. MN and PQ
answer as fast as you can

Answers

Answer:

A. XM and XN

Step-by-step explanation:

Because they are opposite of each other on the same line.

XM and XN are opposite to one another.

What is a ray?

Rays are lines that have only one end point.

How to tackle the problem?

Observe the below-given figure to understand the answers.

The redline PQ has two rays XP and XQ which are opposite to one another, they have opposite directions and are parallelly opposite to each other.

Similarly, the black line MN has two rays XM and XN opposite to one another. they have opposite directions and are parallelly opposite to each other.

So, from the given options only one option is true which is
A. XM and XN are opposite one another.

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Last year, Mollie collected 64 pieces of candy while trick or treating. This year her costume is so fabulous that people were extra generous, and she collected 115 pieces of candy. What was the percent of change in her candy haul?

Answers

Answer:

79.6875 % If you can round, please do.

Step-by-step explanation:

use the zero-exponent rule to simplify the expression:
-3^0+5^0-2^0-1^0

Answers

Answer:

-2

Step-by-step explanation:

-2 I hope this helps you out

In a​ company, ​95% of the workers are men. If 125 people work for the company who​ aren't men ​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.


ill give you brainliesttttt

Answers

Based on the percentage of men workers in the company, the total number of workers is 2,500.

What is the percentage?

The percentage is the fractional value of a variable concerning another.

Percentages are like ratios and proportions, which show the numerical relationship between the independent and dependent variables.

The percentage of men workers = 95%

The number of non-men workers = 125

The percentage of non-men workers = 5% (1 - 95%)

If 5% of the workers are 125, the total number of workers, 100% = 2,500 (125/5% x 100%).

Check:

Men workers = 95% = 2,375

Non-men workers = 5% = 125

Total = 2,500

Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.

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The total number of workers in the company is 2,500.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

In a​ company, ​95% of the workers are men.

125 people work for the company who​ aren't men.

We need to find number of workers working in the company.

The percentage of men workers = 95%

The number of non-men workers = 125

The percentage of non-men workers = 5% (1 - 95%)

Men workers = 95% = 2,375

Non-men workers = 5% = 125

If 5% of the workers are 125

the total number of workers, 100% = 2,500 (125/5% x 100%).

Total = 2,500

Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.

Hence the total number of workers in the company is 2,500.

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HEELLPPP I WILL GIVE BRAINLIEST AND POINTS THANK YOU!!!This year, 450,000 animal lovers are expected to visit a zoo. By the end of February, only 0.064 of the expected number of visitors actually toured the zoo. How many visitors would have to come to the zoo in the months of March through December to fulfill the prediction for this year?
The correct answer is 421,200. How do I reach that answer?

Answers

450,000*0.064= 28,800

450,000-28800= 421,200.

The value of sin35∘ is equivalent to which value?
A. cos65∘
B. cos55∘
C. cos90∘
D. cos45∘

Answers

Answer:

B

Step-by-step explanation:

We can use the following co-function identity:

[tex]\sin(x)=\cos(90-x)[/tex]

Substuting 35 for x yields:

[tex]\sin(35)=\cos(90-35)[/tex]

Subtract:

[tex]\sin(35)=\cos(55)[/tex]

Hence, our answer is B.

I think is b hope it helps

A movie theatre marks up the price of popcorn 12 3/4 times the original cost. express 12 3/4 as a percent and decimal.

Answers

Answer:

Answer: F. 1,275% and 12.75.

Step-by-step explanation:

Ratios

Ratios are usually expressed as decimals, fractions, colon notation, and percentages.

For example, if the ratio of two quantities is 2, it can be expressed as:

2, 2/1, 2:1, 200%

To obtain the percentage expression, just multiply by 100%.

The price of the popcorn sold at a movie theatre was marked up as 12 3/4 times the original cost.

The mixed fraction can be converted to a decimal by just adding their parts as follows:

12 + 3/4 = 12.75

Now to express it as a percentage, multiply by 100%:

12.75 * 100% = 1,275%

Answer: F. 1,275% and 12.75.

How do I solve this equation and check the solutions?

Answers

Answer:

10+√3=4x²

Step-by-step explanation:

Answer:

{12}

Step-by-step explanation:

isolate the radical expression

[tex]\sqrt{3x} = x-6[/tex]

raise both sides to the index of the radical in this case 2

[tex](\sqrt{3x} )^{2} = (x-6)^2[/tex]

[tex]3x = (x-6)^2[/tex]

foil the right hand side or multiply (x-6)(x-6)

[tex]3x = x^{2} -6x-6x+36[/tex]

subtract 3x from both sides and combine like terms

[tex]0=x^{2} -15x+36[/tex]

factor

[tex]0=(x-12)(x-3)[/tex]

set each factor equal to zero and solve for x

x - 12 = 0 and x - 3 = 0

     x = 12 and     x  = 3

Check each answer by plugging them individually into the original equation if the come out true they are a solution.

Check :

[tex]\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16[/tex]           [tex]\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7[/tex]

So the only solution is 12.

Wayne has 2 pet spiders. Each spider has 8 legs. What is the ratio of spiders to the total number of legs?

Answers

Answer:

2:8

Step-by-step explanation:

Answer: 2:8

but yeah its 2:8

A 2-column table with 4 rows. Column 1 is labeled Item Sold with entries Microwave Oven, Refrigerator, Dishwasher, Washing Machine. Column 2 is labeled Sale Price with entries 130 dollars, 600 dollars, 300 dollars, 350 dollars.

Rashad works at an appliance store. He earns 10 percent of the total amount he sells. The table shows the amount of sales he made in one day.

What is the total amount of Rashad’s sales?


How much does Rashad earn from his sales?

Answers

Answer:

1.)  1,380

2.) 138

Step-by-step explanation:

I know i'm 5 days late but why let the question go to waste

If  He earns 10 percent of the total amount he sells, He would Get-

The total amount of Rashad’s sales- 1,380

How much does Rashad earn from his sales- 138

Have a Nice day!

Answer:

1380

138

Step-by-step explanation:

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute

Answers

Answer: A: 3 square feet per minute

Step-by-step explanation:

The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.

System of equations

30x + + 30y = 450 equation 1

20x + 25y = 345 equation 2

Where:

x = square feet shovelled by Melinda

y = square feet shovelled by Paula

What is the square feet shovelled by Paula?

The first step is to multiply equation 1 by 20 and equation 2 by 30

600x + 600y = 9000 equation 3

600x + 750 y = 10,350 equation 4

Subtract equation 3 from equation 4

150y = 1350

Divide both sides by 150

y = 9 square meters

What is the square feet shovelled by Melinda?

Substitute for y in equation 1

30x + 30(9) = 450

30x + 270 = 450

30x = 450 - 270

30x = 180

x = 6 square meters

How much more can Paula shovel in 1 minute than Melinda?

9 - 6 = 3 square meters

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WILL MARK BRAINIEST!!!
(AMC8, 2008) In square ABCE, __ = 2FE and CD = 2DE. What is the ratio of the area △BDF to the area of square ABCE?

Answers

Answer:

5/18

Step-by-step explanation:

(36-12-12-2)/36=5/18

What is the ratio of green stars to red stars? 4 green stars and 6 red stars

Answers

Answer:

2:3

Step-by-step explanation:

we have 4 green stars

and six red stars

as a ratio, it's

4:6

simplified

2:3

sorry if this is your second time answering or seeing this but my ads arent loading.

forty five children attend a preschool the number of two year olds is one half the number of three year olds the number of four year olds is the same as the number of three year olds
how many two year olds attend
how many three year olds attend
how many four year olds attend

Answers

Answer:

a=9

b=18

c=18

18+18+9=45 total children

6
4.
2
74-22
2
4-
6
Slope

Answers

6+6+4+4-2+2+74+22 =120


pls help I will give you brainliest just help please

Answers

Answer:

The answer is A & D.

Step-by-step explanation:

Hope this helps

Given: -2(5x-3/4)=-10x+3/2

-2(5x)+(-2)(-3/4)

=-10x+3/2


What is the slope of the line that passes through the points (-2, 7) and (2, -5)?
Write your answer in simplest form

Answers

Answer:-3

Step-by-step explanation:

( √-5 + 2√20) ( -√-5)

Answers

Answer:

you cant do it

Step-by-step explanation:

because i have tryed with my calculator and it keeps on saying MATH ERROR

[AC]:CANCEL

[LEFT ARROW][RIGHT ARROW]: GOTO

YOUR WELCOME AND PLZ VOTE AS BRAINLESS

PS DAD IS IN HOTSPITAL SO I WOULD LIKE YOU TO VOTE ME AS BRAINLESS

THANK YOU  AGAIN

This problem cannot be simplified at all.

Help me plz. The sides of a rectangular terrain are given by the expressions (x - 5) y
(x – 7) meters. Determine an algebraic expression that represents its area.
Once the expression is obtained, what are the measures of the terrain, so its
area is 195 m² ? What is the perimeter of the terrain?

Answers

Area = (x - 5)(x – 7)

Area = x(x - 7) - 5(x - 7)

Area = x^2 -7x -5x + 35

Area = x^2 -12x + 35

algebraic expression that represents its area: x^2 -12x + 35

x^2 - 12x + 35 = 195

x^2 - 12x + 35 - 195 = 0

x^2 - 12x - 160 = 0

x^2 - 8x - 20x - 160 = 0

x (x + 8) - 20 (x + 8) = 0

(x + 8) (x - 20) = 0

(x + 8) = 0

(x - 20) = 0

x = - 8 (not a solution)

x = 20

hence,

length = x - 5

length = 20 - 5

length = 15 m

width = x - 7

width = 20 - 7

width = 13 m

perimeter = 2(13) + 2(15)

perimeter = 26 + 30

perimeter = 56 m²

The perimeter of the terrain is 56 m²

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

The sides of a rectangular terrain are given by the expressions (x - 5) and

(x – 7) meters.

Given area of rectangle is  195 m²

Area of rectangle= (x - 5)  (x - 7)

195=x(x-7)-5(x-7)

195=x²-7x-5x+35

195=x²-12x+35

x²-12x+35-195=0

x²-12x-160=0

x²-8x-20x-160 = 0

x (x+8)-20(x+8)=0

(x-20)(x+8)=0

x=20 and x=-8

Length x-5=20-5=15

x-7=20-7=13

So length is 15m and width is 13m

the perimeter of the terrain =2(Length + width)

=2(15+13)

=2(28)

=56 m²

Hence the perimeter of the terrain is 56 m²

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the length of a rectangle is four times its width. the rectangle has an area of 1024cm. work out the width of the rectangle

Answers

The width of the rectangle is 16cm and here are the steps :)

Pls help me....3x+4+2x+6yb+9×+1
NEED HELP RIGHT NOW I'M AT SCHOOL PLSSSSS​

Answers

Answer:6yb+14x+1 is it Simplify ok

Step-by-step explanation:

1. 165.45 ÷ 1000 =
2. 762.78 ÷ 100 =
3. 76.94 ÷ 10 =
4. 14352.89 ÷ 1000=
5. 12.30 ÷ 10 =

Answers

1. 0.1654
2. 7.6278
3. 7.694
4. 14.35289
5. 1.230

Answer:

1. 0.16545

2. 7.6278

3. 7.694

4. 14.35289

5. 1.23

Step-by-step explanation:

Just divide.

A bag contains 2 blue marbles, 3 green marbles, 1 white marble and 4 red marbles.
What is the probability of selecting a red marble? Your answer should be in simplified
form.

Answers

Answer:

2/5

Step-by-step explanation:

add all marbles together: 10 marbles

since only 4 are red, the fraction would be 4/10

4/10 can be simplified to 2/5

Answer:

1/45

Step-by-step explanation:

2/10 * 1/9 = 1/45

2/10= 2 red marbles and 10 marbles in total.

What is the slope of a line parallel to the line that passes through (4, -3) and (3, -1)?

Answers

Answer:

-2

Step-by-step explanation:

find rise over run with y1-y2/x1-x2 = -2/1 = -2

The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the first point be A ( x₁ , y₁ ) = A ( 4 , -3 )

Let the second point be B ( x₂ , y₂ ) = B ( 3 , -1 )

Now , the equation for the slope of the line is given by ,

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -1 - ( -3 ) ) / ( 3 - 4 )

Slope m = 2 / -1

Slope m = -2

Hence , The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2

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HELP!!!plzzzzzzzzzzz!!!!!!!!!!!!!!

Answers

Answer:

m∠2 = 47°

Step-by-step explanation:

m∠1 + m∠2 = 90°

3x + 13 + 5x - 3 = 90

8x + 10 = 90 ⇒ x = 10

m∠2 = 47°

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