two cars start at the same point.one travel's north at 65 km/h and the other travel's east at 50km/h.How far are they apart after 30 minutes?

Answers

Answer 1

9514 1404 393

Answer:

  41 km

Step-by-step explanation:

The first car is 32.5 km north after 1/2 hour. The second car is 25 km east after 1/2 hour. The Pythagorean theorem tells you the straight-line distance between them:

  d = √(32.5² +25²) = √1681.25 ≈ 41.00

The cars are about 41 km apart after 1/2 hour.


Related Questions

Trình bày khái niệm và cách giải phương trình bậc nhất 1 ẩn, hệ phương trình bậc nhất 2 ẩn

Answers

English please.......,.

find the midpoint of the segment with the given endpoints. (2,9) and (-8,-8)

Answers

Answer:

The midpoint is (-3, 1/2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

(2+-8)/2 = -6/2 = -3

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(9+-8)/2 = 1/2

The midpoint is (-3, 1/2)

Assume that I=E/(R+r) prove that 1/I=R/E+r/E ?​

Answers

Explanation:

If [tex]I=\frac E{R+r}[/tex] then taking the reciprocal gives

[tex]\frac1I=\frac1{E/(R+r)}=\frac{R+r}E=\frac RE+\frac rE[/tex]

In the figure, angle DEF is 34x + 11, angle DEG is 2x + 24, and angle GEF is 3x + 12. The value of x is ___.

Answers

Answer:

25/29

Step-by-step explanation:

34x+11=2x+24+3x+12

34x+11=5x+36

34x-5x=36-11

29x=25

x=25/29

what did one function say to the other function?

Answers

Answer:

2,3

Step-by-step explanation:

for number 1

please help with the screenshot

Answers

Answer:

7.5

Step-by-step explanation:

Triangles: RST and RPQ are similar so

Triangle RST has 12.5 and x

Triangle RPQ has 20 (comes from 12.5+7.5) and x+4.5

Therefore you divide

x/x+4.5 = 12.5/20

20x= 12.5x+56.25

7.5x=56.25

x=7.5

4. (k? - 4k+7)+(k? +9k – 3)
ON SA

Answers

Answer:

7k + 4

Step-by-step explanation:

I don't know what ON SA means, but here's how I solved it:

(k - 4k + 7) + (k + 9k – 3)

(-3k + 7) + (10k - 3)

(-3k + 10k) + (7 - 3)

7k + 4

When commercial aircraft are inspected, wing cracks are reported as nonexistent, detectable, or critical. The history of a particular fleet indicates that 70% of the planes inspected have no wing cracks, 25% have detectable wing cracks, and 5% have critical wing cracks. Five planes are randomly selected. Find the probability that
a. one has a critical crack, two have detectable cracks, and two have no cracks.
b. at least one plane has critical cracks.

Answers

Answer:

b. at least one plane has critical cracks.

PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.

x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5

If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5

Answers

The answer is 4! So c

Using function concepts, it is found that the degree of the function is: 4, option C.

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

The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.

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

When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.

A similar problem is given at https://brainly.com/question/10539060

PLEASE HELP!
Write an absolute value equation with the solution -1 and 5
Write an absolute value equation with no solution

Answers

the absolute value of -1 is 1 and the absolute value of 5 is 5 since its still positive. I could be wrong so double check with someone else

the absolute value of -1 is 1 and the absolute value of 5 is 5 since its still positive.

Jaishree studies for 5 hours daily. She devotes 2 hours of her time for science and mathematics. How muþch time does she devote for other subjects ?​

Answers

Total time=5hTime devoted for mathematics and science=2h

Let Time devoted for others be x

[tex]\\ \rm\Rrightarrow x+2=5[/tex]

[tex]\\ \rm\Rrightarrow x=5-2[/tex]

[tex]\\ \rm\Rrightarrow x=3h[/tex]

Answer:

3 hours

Step-by-step explanation:

All we need to do here is subtract to find out how many hours she has left to devote to other subjects.

5 - 2 = 3

Best of Luck!

Last one for the night

Answers

Answer:

C. 2/3, 0.66, 66 2/3%

Step-by-step explanation:

There are 36 inches in a yard.

24/36 (simplify) = 2/3

Translate the sentence into an equation.

The sum of 5 times a number and 6 is equal to 7

Answers

Hello!

For these types of problems, we just need to know a few key words and what they mean. In these word problems:


Times= multiplication

A number= a variable (like x)

And= adding

Sum= adding

Is equal to= an equal sign!

Now, let’s use those clues to transform these words into an equation.

“5 times a number” means 5 multiplied by a variable: 5x

“And” means adding: 5x+6

“Is equal to 7” means put an equal sign, and then 7: 5x+6=7

Therefore, your equation is: 5x+6=7

I hope this helped! Comment if you have any questions :))

Which of the following is equal to 4 and 1 over 2 divided by 2 and 2 over 3?

Answers

Answer:

4.91666666667

Step-by-step explanation:

this is what i got

either 9/2 x 8/3 or 9/2 x 3/8

what’s the solution for
-108pi=6pij

Answers

Answer:

j is -18

Step-by-step explanation:

[tex] - 108pi = 6pij \\ - 108 = 6j \\ j = - 18[/tex]

The solution is j = -18 for the expression -108π = 6πj

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

Operators who let do basic mathematical calculations.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that the expression

⇒ -108π = 6πj

Divided by 6π both sides

⇒ -108π/6π  = 6πj/6π  

⇒ -18  = j  

⇒ j = -18

Thus, the solution is j = -18 for the expression -108π = 6πj

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

6 pounds of apples cost $12 how much do 8 pounds cost?

Answers

since 6 lbs of apples cost $12, 1 lb will cost $2.
8 times 2 = 16
8 lbs of apples cost $16

hope this helps!!

Answer:

8=$16

Step-by-step explanation:

6=$12

divide both sides by 6

1=$2

so one pound equals $2 so if 6 pounds equals $12 just add 2 pounds to 6 to make it 8 pounds. you added two pounds so that means you have to add $4 to the total witch will give you

8=$16

Aim: I can solve two-step word problems involving per
1. A supermarket stocks 300kg of potatoes. 25% of the potatoes are
are sold in 1.5kg bags. What mass of potatoes are sold in 1.5kg b

Answers

Answer:

75 kg

Step-by-step explanation:

300*25/100

3*25

75 Kg

Answer:

75kg

Step-by-step explanation:

potatoes are stocked =300kg

25% of potatoes in kg= 25% * 300kg

=75kg

75kg potatoes are sold in 1.5kg bags.

what is a perimeter of triangle​

Answers

Answer:

a+b+c is the formula for calculating the perimeter of a triangle:)

Step-by-step explanation:

If f(x)=3x^2-2x+4 and g(x)=5x^2+6x-8,find (f-g) (x)

Answers

Answer:

-2x^2-8x+12

Step-by-step explanation:

f(x)=3x^2-2x+4

g(x)=5x^2+6x-8

(f-g) (x)= 3x^2-2x+4 - (5x^2+6x-8)

Distribute the minus sign

(f-g) (x)= 3x^2-2x+4 - 5x^2-6x+8

Combine like terms

          =-2x^2-8x+12

Answer:

[tex] - 2( {x}^{2} - 4x + 6)[/tex]

Step-by-step explanation:

[tex] f(x)=3x^2-2x+4 \\ g(x)=5x^2+6x-8 \\ (f-g) (x) = 3 {x}^{2} - 2x + 4 - (5 {x}^{2} + 6x - 8) \\ = 3 {x}^{2} - 2x + 4 - 5 {x}^{2} - 6x + 8 \\ = - 2 {x}^{2} - 8x + 12 \\ = - 2( {x}^{2} - 4x + 6)[/tex]

178X718DIVIDED BY 20x12+478-289divided by 12

Answers

Answer:

77136.3166667

Step-by-step explanation:

Hope it helps

What is 7x-4(3x-2)=18

Answers

x=-2

i got this answer from photo math, you should download it. it give you all the answers and even explains how they got the answer!!

A line segment on a number line has its endpoints at -9 and 6. Find the coordinate of the midpoint of the segment.

A. 1.5

B. -1.5

C. 2

D. -3

Answers

Answer:

B -1.5

Step-by-step explanation:

please give brainliest if you can, have a good day<3 :)

Answer:

-1.5

Step-by-step explanation:

Find (fog)(x) when f (x) =
=-2 and 3(A)= = (I point)
2x
O Gog)(x) =
1+ 6x
1
O Gog)(x) =
2+3x
O Gog(x) =
x+3
4
1
Otog)(x)=
x+3
Finish
Cance

Answers

Answer:

A

Step-by-step explanation:

fog(x) = f(g(x) = f(1/2x) = 4x/(1+6x)

how many litters is in a gallon

Answers

Answer:3.785 liters

Step-by-step explanation:

Answer:

1 gal = 3.78541

Step-by-step explanation:

A quick search will do it.

Which symbol correctly compares the two fractions? Use >, <, or =. Select the correct choice from the drop down. 2/4 Choose... 3/8

Answers

Answer:

3/8

Step-by-step explanation:

Evaluate the expression

Answers

Step-by-step explanation:

this is correct answer thank you

PLSSS NEED HELP WILL GIVE CROWN

Answers

Add :

-1.25 + 2.5 = 1.25

For plotting the first one we first need to see the integer as here is 1 we will move to 1. Now, here it is given 0.25. Each line between 1 and 2 has 10 numbers gap so, as it 25 > 20 and 25 < 30. So, we should plot it between the 2nd and the 3rd line. As it is 5 it should be in between the line.

Refer the plotting for better identification

Add :

4.2 + (-0.4)

4.2 - 0.4

3.8

For plotting this one we will move to 3 than it has 8 < 10 so it should be plotted within the first dot.

Refer the attachment for better identification

find the midpoint of R(5,3) and S(-4,6)

Answers

Answer:

(1/2, 9/2)

Step-by-step explanation:

Using the midpoint formula

[tex]\left(\frac{-4+5}{2},\:\frac{6+3}{2}\right)[/tex]

=[tex]\left(\frac{1}{2},\:\frac{9}{2}\right)[/tex]

Answer:

Mid point is (0.5, 4.5)

Step-by-step explanation:

Formular:

[tex]{ \bf{mid - point = ( \frac{x_{1} + x _{2} }{2}, \: \frac{y_{1} + y_{2} }{2} ) }}[/tex]

x1 is 5

x2 is -4

y1 is 3

y2 is 6

[tex]{ \sf{mid - point = ( \frac{ 5 + ( - 4)}{2}, \: \frac{3 + 6}{2} ) }} \\ \\ = { \sf{( \frac{1}{2} , \: \frac{9}{2} )}} \\ \\ = ({ \sf{0.5, \: 4.5)}}[/tex]

Stella and brain each heat up a small pizza.stella cuts her pizza into 4 equal slices. Brain cuts his pizza into 8 equal parts,Stella eats two pieces of her pizza Brian eats four pieces of his pizza do they eat the same amount of pizza? PLEASE ANSWER!!!!

Answers

Answer:

They are the same amount of pizza.

Step-by-step explanation:

    Stella cut her pizza into 4 pieces. If she eats 2 pieces, then she has eaten half of her pizza. Likewise, Brian cut his pizza into 8 pieces. If he eats 4 pieces, then he has eaten half of his pizza. Therefore, they have both eaten the same amount of pizza.

Model:

9 gal 2 qt to quarts

Answers

Answer:

38 us liquid quarts

Step-by-step explanation:

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