Level 5:
C. Two motorcycles start at the same point. One travels 15 km due north and stops while the other travels 32 km due west
and stops. Which value is closest to the distance between the motorcycles when they are both stopped?
A. 28.3 km
B. 47.0 km
C. 35.3 km
D. 21.9 km

Answers

Answer 1

The Distance between the motorcycles is 35.3 km

Pythagoras theorem shows the relationship between sides in a right angled triangle.

The distance moved north, distance moved west and the distance between the motorcycles form a right angled triangle.

distance between the motorcycles² = distance moved north² + distance moved north²

Distance between the motorcycles² = 15² + 32²

Distance between the motorcycles² = 1249

Distance between the motorcycles = 35.3 km

Hence the Distance between the motorcycles is 35.3 km

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Related Questions

Dan and Brian have played 51 tennis matches.
Dan has won 29 times.
Brian won the rest.
a) Estimate the probability that Dan wins.
b) Estimate the probability that Brian wins.

Answers

Answer:

A = 29/51   B = 22/51

Step-by-step explanation:

(E) =  number of favorable outcomes/ total number of possible outcomes

- number of possible outcomes= 51

- number of favorable outcomes= 29

therefore, P(E) = 29/51

- number of possible outcomes= 51

- number of favourable outcomes = 51 - 29 = 22

therefore, P(E)= 22/51

Help please? What do I do?

You have just bought a new Sony 55" 3D television set for $1,800. The value of the television set decreases by $210 per year. How long before the television set is worth half of its original value?


Round your answer to the nearest tenth as needed.

Answers

Answer: 4.3 years

Explanation: $1,800/2 = $900

$900/$210 = 4.28571429

Shashi Rimoko earns $620 per week as a chef. He has group
medi Shashi Rimoko earns $620 per week as a chef. He has group
medical and dental insurance. Medical coverage costs $9,560
a year and dental coverage costs $172 a year. The restaurant
pays 80% of the medical and 65% of the dental insurance. How
much is deducted each week for insurance

Answers

Out of the weekly amount that Shashi Rimoko makes, a deduction of $37.93 is made for insurance.

The total Medical cost is $9,560 and out of this, the amount paid by Shashi per year is:

= Amount x (1 - percentage paid by restaurant)

= 9,560 x ( 1 - 80%)

= $1,912

The amount he pays for Dental coverage is:

= Amount x (1 - percentage paid by restaurant)

= 172 x (1 - 65%)

= $60.20

The total amount he pays for insurance per year is:

= Medical + Dental

= 1,912 + 60.20

= $1,972.20

The weekly deduction is:

= Year amount / No. of weeks in year

= 1,972.20 / 52

= $37.93

In conclusion, $37.93 is deducted from his paycheck every week.

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Select the vector along wich a translation of the plane would map point A to its image T (A)

Answers

Answer:

a

Step-by-step explanation:

it is a thanks

can you help me pwease i give brainliest

Answers

Answer:

I believe your answer should be B.) I hope this helps! :D

what number has the prime factorization 2 6th * 5 6th show your work

Answers

The steps for calculating the prime factors of a number is similar to the process of finding the factors of any number.
Start dividing the number by the smallest prime number i.e., 2, followed by 3, 5, and so on to find the smallest prime factor of the number.
Again, divide the quotient by the smallest prime number

need help with this please

Answers

Answer: plug 32 in for m

Step-by-step explanation:

Determine what comes next in the given pattern 41,39,37,35,33​

Answers

Answer:

31

Step-by-step explanation:

you're just subtracting by two's as the pattern goes on.

In the given pattern 41,39,37,35,33​,the next number in the pattern is 31. To determine what comes next in the given pattern,let's observe the sequence:

41, 39, 37, 35, 33

The pattern is a decreasing sequence where each number is subtracted by 2 to get the next number.

So, to find the next number, subtract 2 from the last number in the sequence: 33 - 2 = 31

The next number in the pattern is 31.

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Unicorns love eating jelly beans! If a unicorn eats 410.7 ounces of jelly beans 6 times a day, how many ounces does it eat in one day?

Answers

Answer:

2464.2

Step-by-step explanation:

you multiply 410.7 by 6 to get this

The ounces of jellybean eaten in a day is required.

The amount of jellybean the unicorns eats in one day will be 2464.2 ounces.

The ounces of jellybean eaten at one time is 410.7 ounces

The number of times jellybean is eaten during one day is 6 times.

[tex]1\ \text{time}=410.7\ \text{ounces}[/tex]

So, for 6 times

[tex]6\ \text{times}=6\times 410.7=2464.2\ \text{ounces}[/tex]

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if ryan has $1127 left after spending 1/5 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill, what was his monthly salary

Answers

Answer:

$1715

Step-by-step explanation:

1/5 + 1/ 7 = 12/ 35

So, he is left with 23/35 of his salary

if 23/35 of his salary is 1127

his whole salary is 1715

Write an equation of the line perpendicular to the given line that contains P.
P(5,-3); y=1/3x+4

Answers

Answer:

P(y,x)=P

y = 1/3x + 4

Step-by-step explanation:

17 - (-25) =
I need help

Answers

17 - (-25)
Negatives cancel each other
=17+25
Answer is 42

Answer:

42

Step-by-step explanation:

rewrite by changing subtraction sign to addition and the following number to opposite

- always involves two sign changes

have a good day

The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.

Answers

Answer:

1.75 * 6 = 10.5 - 8 = 2.5 / 1.75 = 1.43 * 5.5 = about 5hrs and 30mins

Step-by-step explanation:

Miya plans to visit her sister over the summer. On a map, her house is 2 inches from her sister’s house. If the map uses a scale of 1 inch = 18 miles, how many total actual miles would Miya travel on her trip to and back from her sister’s house?

HELP FAST HELP FAST THIS IS DUE

Answers

Answer:

72 miles

Step-by-step explanation:

18x2x2

divide

-4 2/5 % (-5)

a. -22/55

b.8/25

c.22/55

d.-8/25

Answers

Answer:

c but the real answer is 2/25

Step-by-step explanation:

For each equation, determine if Y as a function of X.

Answers

Answer:

Not a function

Step-by-step explanation:

If you were to graph it, these would fail the vertical line test.

Carlos ate 1/3 of his caramel pie. Carlos is having a friend come over and wants to give her 1/4 of the pie he has remaining. What fraction of the original pie will he give his friend?

Answers

Answer:  1/6

===================================================

Explanation:

Multiply the denominators to get 3*4 = 12. We'll use this value to set up the number of slices we start with.

If we started with 12 slices, then 1/3 of this is (1/3)*12 = 4 slices. So Carlos ate 4 slices. There are 12-4 = 8 slices left.

1/4 of that value is (1/4)*8 = 2 which is the number of slices given to his friend.

Divide the number of slices given to the friend (2) over the number we started with (12) to get 2/12 = 1/6

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

Another approach:

If Carlos ate 1/3 of the full pie, then there are 2/3 of it left.

1/4 of this is (1/4)*(2/3) = (1*2)/(4*3) = 2/12 = 1/6 which represents the fractional amount of the original pie given to the friend.

Find the measure of D
E
3x
2x

A
B
С

Answers

Answer:

2x+3x+x= 180

6x= 180

x=180/6=30

<DBE = 3x = 3*30 = 90

Step-by-step explanation:

Pls mark as brainliest

Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.


On a coordinate plane, 2 trapezoids are shown. Trapezoid A B C D has points (negative 4, 0), (negative 2, 4), (2, 4) and (4, 0). Trapezoid A prime B prime C prime D prime has points (negative 2, 0), (negative 1, 2), (1, 2), and (2, 0).


Which statements are true about the trapezoids? Select three options.


Incorrect answer:


Sides CD and C'D' both have the same slope, 2.

Selected Answer - Incorrect

Correct answer:


The length of side A'D' is 4 units.

Correct answer:


The length of side AD is 8 units.


Answer,

The image is larger than the pre-image.


The correct answers are B, C, and D

Answers

Answer:

The length of side A'D' is 4 units.

The length of side AD is 8 units.



The image is larger than the pre-image.

The correct answers are B, C, and D



Answer:

The correct answer is A B E

Step-by-step explanation:

The length of side AD is 8 units.

The length of side A'D' is 4 units.
The scale factor is 1/2.

Can someone help me please

Answers

Answer:

Step-by-step explanation: NO SE INGLES

will mark as brainliest
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros of -1, 2, and -3i. Show all work.

Answers

the answer is -1 2 i think that is the answer

Solve 15t – 6 < 12t.

t > 2

t < 2

t < -2

t > -2

Answers

Answer:

T<2 its the answers

Your welcome

In the function y-1 = (4x)² + 7, what effect does the number 4 have on
the graph, as compared to the graph of y = x^2?
A. It stretches the graph vertically by a factor of 4.
B. It shrinks the graph vertically to 1/4 the original height.
C. It stretches the graph horizontally by a factor of 4.
D. It shrinks the graph horizontally to 1/4 the original width.

Answers

Answer:

D. It shrinks the graph horizontally to 1/4 the original width.

Step-by-step explanation:

f(px): |p|>1 horizontal compression   (x,y) -> (x/p , y)

Change 800% to a decimal

Answers

Answer:

8

Step-by-step explanation:

Answer:800% as a decimal = 8

Remove the percent sign, then divide 800 by 100:

800% → 800 → 800/100 = 8

If DG≈FG,DE=3v, and EF=v+48, what is the value of v?

Answers

Answer:

Step-by-step explanation:

As DF is perpendicular to EG and DG = FG, then the two triangles are congruent and therefore DE will equal FE

DE = FE

3v = v + 48

2v = 48

  v = 24

The ratio
adjacent
describes which function?
hypotenuse
O A. Cosine
O B. Tangent
1.0
O C. Secant
O D. Sine
O

Answers

Answer:

A. Cosine

Step-by-step explanation:

It is cosine because ADJ/HYP is Cosine in Soh Cah Toa.

The ratio adjacent/hypotenuse shows the Cosine function.

What is Trigonometry?

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

We have,

To find the ratio equivalent to Adjacent / Hypotenuse.

We know that the ratio of an angle's perpendicular (opposite) side to its hypotenuse is known as its sine.

and, Cosine of an angle is defined as the ratio of the side adjacent to that angle to the hypotenuse.

or Cosine ratio = Adjacent/ Hypotenuse

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como se saca la raíz cuadrada?

Answers

Answer:

La raíz cuadrada de cualquier número se puede expresar usando la fórmula: √y = y½.

Can someone please help me evaluate and show all your work please and thanks

Answers

Answer:

4

Step-by-step explanation:

-4/(k+7)

For k=-8

-4/(-8+7)

-4/-1

4

Reduce the fraction 15/20 to lowest term. ​

Answers

Answer:

3/4

Step-by-step explanation:

15/20 dived by 5 is 3/4

1 1.2.4 Quiz: Paying Taxes Question 7 of 10 Income tax is calculated based on: A. gross income minus deductions, B. net income minus profits C. gross income. D. net income minus deductions,​

Answers

Income tax is calculated based on: A. gross income minus deductions

What is Income Tax?Income tax is defined as the levy that the government places on income earners for a specific period of time, which is usually a month or a year as the case may be.Income tax = gross profit less a fixed percentage charged on the taxable income of the payer.

Therefore, income tax is calculated based on: A. gross income minus deductions

Learn more about income tax on:

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Answer:

The answer is A. Gross income minus deductions

Step-by-step explanation

I looked it the answer and read through the notes to find my answer

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