Two cars depart an intersection.
One goes north.
The other goes west.
Each car travels at a constant speed of 30 miles per hour.
Assuming the roads go on forever, what will be the distance between the cars after 1 hours and 30 minutes in miles?

Answers

Answer 1

Answer:

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Step-by-step explanation:

This question can be solved using the Pythagorean Theorem.

Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.

The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So

[tex]d^2 = 45^2 + 45^2[/tex]

[tex]d = \sqrt{45^2 + 45^2}[/tex]

[tex]d = 63.64[/tex]

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.


Related Questions

Which of the following must be true for the parallelogram shown below?

Answers

Answer:

We conclude that:

Option D i.e. m∠DAB = m∠BCD is correct option.

Step-by-step explanation:

We know that a Parallelogram is a quadrilateral with two pairs of parallel sides.

We also know that the opposite angles of a parallelogram are equal.

Given

m∠DABm∠BCD

From the figure:

It is clear that m∠DAB is the opposite angle of m∠BCD.

Thus,

m∠DAB = m∠BCD  ∵ opposite angles of a parallelogram are equal.

Therefore, we conclude that:

Option D i.e. m∠DAB = m∠BCD is correct option.

What is the value of 16 - 3k + 5 when k = 4?

Answers

Answer:

9

Step-by-step explanation:

Substitute 4 as k into the equation.

16 - 3(4) + 5

simplify

16 - 12 + 5

4 + 5

9

The answer is 9.

Answer:

9

Step-by-step explanation:

16-3(4)+5

16-12+5 use BODMAS rule

16-7

9

In a NFL game in December the Seattle Seahawks scored 16 of their 40 points in the second quarter. What percent of their total points were made in the second quarter?

Answers

Answer:

That would be 40%.

You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years? Give your answer in dollars to the nearest dollar.

Answers

Answer:

348,750 dollars in 3 years

Step-by-step explanation:

   You inheritanced 15,500 dollars. You put that into a account which has a 7.5% interest rate for one year. 15,500 x 7.5 = 116,250 a year. now you want to know how much that'll be in 3 years multiply 116,250 x 3 = 248,750.

(I'm sorry if this is incorrect i tried doing the math correctly!)

Answer:

Step-by-step explanation:

I = P x r x t

p=15500

i=7.5% must change to decimal of 0.075

t= 3 (years)

In this case

I= 15,500 X 0.075 X 3=  3,487.5

(1, 162.5 x 3)= 3487.5

Solved to nearest dollar of 3,488

Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.

Answers

Answer:

Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.

Step-by-step explanation:

Answer:

Terms: addition, division, multiplication

Constants: 9 and 2

Coefficients: 4 and 3

I think these are the right answers, I am so sorry if they are wrong!!

£5-2 x 0.81=

Answer for school and explanation please. would be great help

Answers

Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for the number of students who own a pet?

Answers

Answer: 240 students

Explanation:

320 ÷ 8 = 40 (40 groups of 8)

40 x 6 = 240

Answer:

Reasonable prediction = 240 students

Step-by-step explanation:

Given that:

6 out of every 8 students own a pet.

Ratio = 6 : 8

Number of students surveyed = 320

Predicted number of students who own pets = x

Ratio = x : 320

As the relationship is proportional;

6 : 8 :: x : 320

Product of mean = Product of extreme

8x = 320 * 6

8x = 1920

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]

Hence,

Reasonable prediction = 240 students

Please help I will like and brainy

Answers


What is the value of x in this diagram?


Please help

Answer:

Ok ill help u ! What do u need help on?

immy said, “The ratio of boys to girls in my class is 3 to 4. For every 3 boys we have 4 girls.” If her class has 24 girls, how many boys are in her class? Show ALL work.

Answers

Answer:

18 boys

Step-by-step explanation:

24 divided by 4 gives you 6 girls so multiply the amount of boys (3) and you will get how many boys are in her class.

Answer:

18 boys

Step-by-step explanation:

The ratio is:

b/g = 3/4, where b- boys and g- girls

24 girls in the , then number of boys is:

b / 24 = 3/4b = 24*3/4b = 18

Find the area of each triangle?

Answers


Area of triangle A = 1/2bh
= 1/2 x 6 x 4
= 3 x 4
= 12 units

Area of triangle B = 1/2bh
= 1/2 x 4 x 3
= 2 x 3
= 6 units

In the diagram below, AB is parallel to CD. What is the value of x?
B
459
A. 30
B. 45
C. 60
D. 135

Answers

Answer:

Could you show the diagram?

Find the x and y intercept of y = 5x - 2. Random answers will be reported. Who ever answers right first will be marked brainlest.

Answers

Answer: x intercept is 2/5, and y intercept is -2

Step-by-step explanation:

Bascially when your solving for x intercept, substitute 0 for y, then for this equation u get 0=5x-2, which is equal to 5x=2, so the x intercept is 2/5. You do the same thing for y intercept, so substitute 0 for x this time, then you'd get y=-2.

The answer is 2/5 hope this helps

The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140

Answers

The answer is $110

Explanation: .40*200=80 80+30=110

Marion is driving between two towns that are close together. If she drives 1⁄5 the trip in 15 minutes, what is her rate per hour?

Answers

Answer:

4/5 in one hour

Step-by-step explanation:

15 minutes is 1/4 of an hour so all you need to do is multiply one 1/5 by four

tell me if im wrong plz

Answer:

4/5 in one  hour

Step-by-step explanation:

jameson runs m miles and burns c number of calories is this independent or dependent

Answers

Answer:

the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent

A car is moving at a rate of 35 miles per hour, and the diameter of its wheels is 2.5 feet. (Round 1 decimal place).
A.) Find the number of revolutions per minute that the wheels are rotating.

B.) Find the angular speed of the wheels in radians per minute.

Answers

Tbh I really don’t know and I hope someone helps you

Write an equation in Standard Form for each story below.
1: Ming sold 2 boxes of grapefruit and 5 boxes of oranges for $103.

Answers

Answer:

2x+5y=103

Step-by-step explanation:

x=price per box of grapefruit

y=price per box of oranges

A line passes through the points (-4, 8) and (3, -7).

Answer all parts of the question.

Part A: What is the slope of the line that passes through these points.

Part B: What is the equation of the line that passes through these points.

Part C: Where does the line intersect the x-axis and y-axis?

Answers

Answer: (hope I got them correct)

A) -15/7

B) [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex]

C) It cuts the x-axis at (-4/15,0) and the y-axis at (0,-4/7).

Step-by-step explanation:

A) Slope = [8-(-7)]/(-4-3) = -15/7

B) Let [tex]y=-\frac{15}{7}x+c[/tex] be the required equation.

Substitute x=-4, y=8.

8=(-15/7)(-4)+c

c=-4/7

The equation is therefore [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex].

C) Substitute y=0, we will get x = -4/15 i.e. it cuts the x-axis at (-4/15,0).

Substitute x=0, we will get y = -4/7 i.e. it cuts the y-axis at (0,-4/7).

Urgent help need it plz​

Answers

Answer:

angle 1 = 51

angle 2 = 34

angle 3 = 95

angle 4 = 38

angle 5 = 47

angle 6 = 74

angle 7 = 59

Step-by-step explanation:

a straight line is 180 degree, so to find angle 1, subtract 129 by 180.

angle 2 is found by adding angle 1 and 95 then subtract that by 180.

angle 3 and 95 are opposite angles, so they are the same

for angle 4, add angle three and 47 then subtract that by 180

angle 5 is 47, they are opposite

angle 7, subtract 121 by 180

angle 6, you add angle 5 and 7, and subtract that by 180

they already answered! but good luck :)

PLS help whats 800000000.0%x9000000.0%=p\

Answers

Answer: 720,000,000,000

Step-by-step explanation: Find your answer by multiplying the 2 percent's.

Let p, equal percent.

800000000.0%x9000000.0% = p

800000000.0%x9000000.0% = 720,000,000,000

720,000,000,000  = p

The Equation of line K is y=8/7x+3 perpendicular to line k is line L which passes through (-8,3) what is the slope of the equation of line l

Answers

Answer:

mathm waaayys can help you

Step-by-step explanation:

Find the restrictions on the variable.

Answers

Answer:

[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]

Step-by-step explanation:

x^2 + 4x - 45

= (x+9)(x-5)

x^2 + 10x + 9

= (x+9)(x+1)

So the fraction goes to

[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].

Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.


An account has a principal of $500 and a
simple interest rate of 3.3%. How much interest
would be earned after 3 years?

Answers

Answer:

$49.50

Step-by-step explanation:

Simple interest formula => interest = principal x rate x time period

interest = 500 x .033 x 3 years

interest = 49.50

I hope this helps!

-TheBusinessMan

Solve each of the following equations.
(4b + 11)(3b - 7) = 0​

Answers

Answer:

4b = 4(11/4)

3b = 3(7/3)

SUP= 125 UPE=110 SRE=85 find SUR

Answers

Answer:

m∠SUR = 15°

Step-by-step explanation:

m∠UPE = 110°

m∠UPR = m∠EPR [Given]

m∠UPR = [tex]\frac{1}{2}(m\angle UPE)[/tex]

             = [tex]\frac{1}{2}(110)[/tex]

             = 55°

Since, m∠SRU = m∠UPR [Given in the picture]

m∠SRU = 55°

m∠SRE = m∠SRU + m∠URP + m∠PRE

85° = 55° + m∠URP + m∠PRE

m∠URP + m∠PRE = 30°

Since, m∠URP = m∠PRE

m∠URP + m∠URP = 30°

m∠URP = 15°

Since, m∠URP = m∠SUR [Given in he picture]

m∠SUR = 15°

5(−2n + 4) + (n - 3)=

Answers

The answer to the question is: -9n+17

If a tires k=0.85, what does this tell you about the tire installed on the car as opposed to the factory-installed tire?
A) The tire on the car is smaller than factory installed tire.
B) The tire on the car is the same as the factory installed tire.
C) The tire on the car is larger than the factory installed tire
D) The k value tells us nothing about the tire on the car.

Answers

Answer: since I don’t understand this question I’m choosing D

Step-by-step explanation:

HELP ME YO I LISTEN TO TRIPPIE REDD

Answers

Answer: blank = 2

Step-by-step explanation:

i checked the denominators to see if they had some form of correlation. i did this with the denominators because both of them were given. i saw that 16 is twice the number of 8, so i just said "what is twice the number of 1?" and got my answer.

Answer:

2

Step-by-step explanation:

Trippie is amazing, good job. What's your favorite song from him mine is Excitement.

Given Triangle DEF is isosceles and angle D is the vertex angle, Find x, DE, DF, EF

Answers

Answer:

x=2;DE,EF=9,DF=5

Step-by-step explanation:

Since DEF is isoceles, you can set the equations

x+7 and 2x+5 equal to each other

x+7=2x+5, now solve for x

-x=-2,

x=2, now plug in for each side

DE,EF=9

DF=3(2)-1=5

Which set of ordered pairs represents a function? (1 point)
A. {(0, 1), (1, 3), (1, 5), (2, 6)}
B. {(0, 0), (1, 2), (2, 4), (3, 4)}
C. {(0, 1), (1, 2), (2, 3), (2, 4)}
D. {(0, 0), (0, 2), (2, 2), (2, 4)}

Answers

Answer:

I believe c.

Step-by-step explanation:

Answer:

its a i did it and it was correct

Step-by-step explanation:

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