Two​ vehicles, a car and a​ truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per​ hour, while the truck heads south at an average speed of 40 miles per hour. Find an expression for their distance apart d​ (in miles) at the end of t hours.

Answers

Answer 1

Step-by-step explanation:

the car distance to the intersection will be

30t (30 miles for every hour).

the truck distance to the intersection will be

40t (40 miles for every hour).

the distance between the car and the truck will always be the Hypotenuse of a right-angled triangle with the legs being the actual distances from the starting intersection.

so, we use Pythagoras :

d² = (30t)² + (40t)² = 900t² + 1600t² = 2500t²

d = sqrt(2500t²) = 50t

so, their distance will increase 50 miles every hour.


Related Questions

How do you evaluate 35/a. When a =7

Answers

Answer:

5

Step-by-step explanation:

[tex]35/a[/tex], when a = 7

Substitute

[tex]35/7[/tex] [tex]=5[/tex]

Answer:

5

Step-by-step explanation:

You substitute 7 for a in the equation.

35/a ——> 35/7

Evaluate it and your answe is 5.


I hope it helps! Have a great day!

Lilac~

A roll of breakfast sausage weighing 4/5:of a pound is cut into 3 patties of the same size. What is the weight of each patty?

NO LINKS!!! ​

Answers

Solution:

Note that:

4x/5 ÷ 3 = 1 patty

Solve for x to find the weight of each patty.

4/5 ÷ 3 = Weight of 1 patty=> 4/5 x 1/3 = 1 patty=> 4/15 = 1 patty

The weight of a patty is 4/15 of a pound.

Answer:

4/15

Step-by-step explanation:

Hope this helps! Sorry if I am wrong.

The graph below shows y as a function of x.

What is the relationship between x and $y$ in the graph?

A
As x increases, y increases.
B
As x increases, y decreases.
C
As x increases, y increases, then y decreases, then y increases again.

D
As x increases, y decreases, then y increases, then y decreases again.

Answers

Answer:

As x increases, y increases, then y decreases, then y increases again.

Step-by-step explanation:

The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.

Option C is the correct answer.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The graph has the following coordinates.

(0, 0), (3, 3), (4, 0), (5, -4), and (9, 0)

Now,

We see that,

From (0, 0) to (3, 3),

y increases as x increases.

And,

From (3, 3) to (4, 0).

y decreases as x increases.

And,

From (4, 0) to (5, -4).

y decreases as x increases.

And,

From (5, -4) to (9, 0).

y increases as x increases.

Thus,

The relationship between x and y in the graph is as x increases, y increases, then y decreases, then y increases again.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

6. A car traveled 30 kilometers for 2 hours, what is its speed? A. 15.0km/h B. 28.0km/h C. 30.0km/h C. 60.Okm/h




answer :b


Answers

Answer:

A. 15.0km/h

Step-by-step explanation:

30km/2hr = 15km/hr

Answer:

A. 15.0km/H hope this helps

what is 1.9 to the second power in expanded form?

Answers

Answer:

[tex] {1.9}^{2} = 1.9 \times 1.9 = 3.61[/tex]

Answer:

[tex]1.9 {}^{2} [/tex]

[tex]=1.9 \times 1.9[/tex]

[tex] = 3.61[/tex]

Do you need to regroup I ten as 10 ones? Explain

Answers

Answer: no because that is like

A field is a rectangle with a perimeter of 1110 feet. The length is 100 feet mora than the width. Find the width and length of the rectangular field

Answers

Answer:

W: 455 ft

L :.655 ft

Step-by-step explanation:

I did the math if it's wrong I'm so sorry but I'm 99.9% sure it's right.

Inscribed Angles
if angles ABC measures 70 what does angles ADC measure?

Answers

Answer:

35 degrees

Step-by-step explanation:

Assuming B is the center of the circle, the measure of arc AC is 70 degrees since the measure of a central angle is equal to the measure of the arc it intercepts.

This means that by the inscribed angle theorem, which states that the measure of an inscribed angle is half the measure of the arc it intercepts, the measure of the desired angle is 35 degrees.

turn 55% in to fraction​

Answers

Answer: Your answer is 55% = 11 / 20

Hope this helps!

Answer:

11/20

Step-by-step explanation:

Step 1: We represent the given number as a fraction by dividing it by 100.

Hence, we write it as 55/100.

Step 2: Simplify the fraction by using common factors of numerator and denominator.

Now, 55% can be written as 55 / 100.

On simplifying the above fraction:

55 / 100 = 11 / 20 [Dividing numerator and denominator by their greatest common factor, that is 5.]

Therefore, 55% can be represented as 11/20 in fractional form.

[RevyBreeze]

PLEASE HELP ME I think i know the answer but im not sure

Answers

Answer:

2537

Step-by-step explanation:

3/5 of 4,283.30 = 2569.98

2569.98 - 19.99 = 2549.99

2549.99 - 12.99 = 2537

~giving brainliest for answering this one question~

Answers

Answer: 3 minutes 50.51 seconds

Step-by-step explanation:

10/100 of a second = 0.1 second

So the American's time = 3 minutes 50.61 second - 0.1 second

= 3 minutes 50.51 seconds

help plsssssssssssss

Answers

Answer:

27+72x

Step-by-step explanation:

ous5ourskhrskysr

What is the slope of the line that passes through the points (6,−5) and (-6, -5)

Answers

Answer:

0

Step-by-step explanation:

Slope can be conceptualized as rise over run.

To get rise, you can see the difference between the two 'y' coordinates. In this case, it's 0 (-5 and -5). At this point, since the numerator of our [tex]\frac{rise}{run}[/tex] fraction is 0, you know it's just gonna be 0 no matter the value of the run.

A rectangle has an area of 20 square feet and a length of 6 feet.What is its width?

Answers

Answer:

The width would be 3.33 feet. I got this answer by dividing 20 by 6. The area of a Rectangle is (Length times Width) so 6 times 3.33 = 20.

Step-by-step explanation:

PLEASE HELP ME PLEASE ITS DUE TODAY

Answers

$3.13 is the answer like it please thanks

I need some help with this as well

Answers

in not sure if it would be correct but i think it would be c because the lines would eventually cross through eachother

Step-by-step explanation:

factorize 35-12x + x^2​

Answers

Answer:

[tex]35-x(12-x)[/tex]

Step-by-step explanation:

[tex]35-12x+x^2=35-(12x-x^2)[/tex]

Factor out x from the parenthesis

[tex]35-x(12-x)[/tex]

Hope this helps :)

Have a nice day!

Answer:

[tex](x - 7)(x - 5[/tex]

My solvation is on the picture, Hope it helps and brainliest if correct.

Find the value of × in each of the following

a)5+1=11
b) 2x-3=2

Answers

Step-by-step explanation:

a,it doesn't have variable

b,2x-3=2

2x=2+3

2x=5

2x/2=5/2

x=5/2

Find the area of following figures​

Answers

Answer:

AB=8

CD=7

EF=2.4

FA=2

SOLN

ab+cd+ef+fa

8+7+2.4+2

19.4

Solve ? (0.7 + y) times 8.7

Answers

8.7(0.7+y)

expand

6.09+8.7y

Write as a mathematical expression: The product of 5 and x, increased by 3

Answers

Answer:

[tex]5x + 3[/tex]

Step-by-step explanation:

(5 × x) - Product of 5 and x

=5x

increased by 3

5x +3

The temperature in a city at 5:00 AM was 10 below zero. By noon, the temperature had increased 5 degrees. What is the temperature at noon?

Answers

Five below zero.

Negative ten plus five equals negative five

could you write 378972 with commas

Answers

Yes, and it would be 378,972

Explanation:

Yes, It can be written with commas

It will be,

[tex]378 , 972[/tex]

Remeber that: Comma is always put after interval of three numbers. First three, Then three and so on...

An airplane flies
170 miles in 2 hours
42 minutes. What is
its average speed in
miles per hour?

Answers

Answer:

The average speed is 62.96mph. Hope this helps! :)

Step-by-step explanation:

x^5=243
what is the formular to the equation.

Answers

Answer:

x = 3

Step-by-step explanation:

x^5 = 243

Take the fifth root of each side which is the same as raising each side to th 1/5 power. Also, 243 = 3^5.

x^5 = 3^5

(x^5)^(1/5) = (3^5)^(1/5)

x = 3

Answer:

3

Step-by-step explanation:

x^5= 243

I guess we're looking for x

so what we do is just find the fifth root of 243

and that's 3

Translate the sentence into an equation.
Six less than the product of 4 and a number equals 2 .
Use the variable c for the unknown number.

Answers

Answer:

(4xc)-6=2 then c=2

Step-by-step explanation:

because we knew that we had to do 6+2=8 so then 8 divided by 4 = 2 so the answer would be 2!

Answer:

(4c) - 6 = 2

4c - 6 = 2

c = 2

Both equations will work.

Step-by-step explanation:

"The product of 4 and a number" is the same as 4 times that number.

Since the missing number is to be said as c, the correct term for this is 4c

6 less than (4c) is the same as (4c) - 6

We have the left-hand-side of the equation as (4c) - 6

The right-hand side is 2

(4c) - 6 = 2or4c - 6 = 2

Now, we have to solve for c.

4c - 6 = 24c = 8c = 2

-Chetan K

where do you get .28 from ?

Answers

Answer:

Percentage.Fraction.

Step-by-step explanation:

0.28 is like a percentage.

If so, then you can use 2 examples:

0.28 * 32.28% of 32.

The most simple way of getting it is fractions.

2 examples:

28/10028/100 * 32.

I was not in class when we did this and i have no idea what the answer is so if someone could help that would be wonderful

Answers

Answer:

12 < x < 13

Step-by-step explanation:

Pythagorean Theorem: a^2 + b^2 = c^2

a is 6, b is 11, c is x.

We have to first replace the items in the Theorem, do the exponents, then add.

1) 6^2 + 11^2 = x^2

2) 36 + 121 = x^2

3) 157 = x^2

To finally solve it we must square root everything

4) sqrt(157) = sqrt(x^2)

5) x = 12.52

So x has to be between 12 and 13

Which sides can make a triangle the question is in the photo

Answers

Answer: I believe it is 10cm 9cm 9cm

Step-by-step explanation:

Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side

Please help will give 50points

Answers

Answer:

a=10

Step-by-step explanation:

Using Pythagoras theorem

[tex] {(a + 2)}^{2} + {( a- 5)}^{2} = {(a + 3)}^{2} [/tex]

[tex] {a}^{2} + 4a + 4 + {a}^{2} - 10a + 25 = {a}^{2} + 6a + 9[/tex]

simplify:

[tex] {a}^{2} - 12a + 20 = 0[/tex]

(a-2)(a-10)=0

hence a= 2 or a=10 however we must reject 2 as the lengths of the triangle cannot be negative eg. the side for a-5 will be equivalent to -3 cm which is not possible for lengths to become negative

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