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

In Steven's grade, 12 students are enrolled in health and 48 students are not. What percentage of the students in the school are enrolled in health?​

Answers

Answer:

20%

step-by-step way

Select all quadrilaterals that have 180 degree rotational symmetry,
A. trapezoid
B. isosceles tapezoid
parallelogram
D. rhombus
E. rectangle
F. square

Answers

Your answer would be Trapezoid isoscleses trapezoid, rhombus. I think. Hope this helps?!

Parallelogram and Rectangle has rotational symmetry of 180 degree.

Trapezoid has rotational symmetry = 360 degree.

Isosceles Trapezoid has rotational symmetry = 360 degree.

Parallelogram has rotational symmetry = 180 degree.

Rhombus has rotational symmetry = 90 degree.

Rectangle has rotational symmetry = 180 degree.

Square has rotational symmetry = 90 degree.

Learn more: https://brainly.com/question/20969283

A soccer team has 12 girls and 18 boys. The team is split into groups that have the same ratio of girls to boys as that of the whole team. How many girls are in the group that has nine boys? A) 9b to 6g (B 9b to 12g (C 9b to 3g

Answers

Answer:

A. 9boys to 6girls

Step-by-step explanation:

If the original ratio of boys to girsl was 18 boys to 12 girls, then the simplified ratio is 3 boys to every 2 girls.

3:2

9:?

Divide 9/3=3

So the simplified ratio times 3 would give you the ratio if boys to girls when there are 9 boys

2*3=6

6 girls when there are 9 boys

Help me please and thank you

Answers

The slope is 3 y-intercept is 7 and the equation would be y=3x+7
Slope-3
Y-intercept- 7

y=3x+7

Jenny's kite has gotten stuck at the top of a tree. If the kite's string is 40 feet long and Jenny is 24 feet away from the tree, about how much taller is the tree than Jenny? (Round to the nearest foot.)

Answers

Um, 16 I guess, I'm not sure

Give four reasons why you think mathematics should be taught in primary schools

Answers

Answer:

i) Because so that we can understand them steps by step

ii)We could enjoy when we study in school

Answer:

because it helps the kid to make

1. base at mathematic

2.helps to change thinking way that math is hard

3. makes future bright like elon- musk

4. it helps to make stable in basic math calculation

A carnival has a ring-toss game where players try to toss rings around a stick. A player gets two attempts in a game. Let X represent the number of rings a randomly chosen customer successfully tosses around the stick in a game. Based on previous data, here's the probability distribution of X along with summary statistics:
X=\text{\# of successes}X=# of successesX, equals, start text, \#, space, o, f, space, s, u, c, c, e, s, s, e, s, end text 000 111 222 P(X)P(X)P, left parenthesis, X, right parenthesis 0.900.900, point, 90 0.080.080, point, 08 0.020.020, point, 02 Mean: \mu_X=0.12μ X ​ =0.12mu, start subscript, X, end subscript, equals, 0, point, 12 Standard deviation: \sigma_X\approx0.38σ X ​ ≈0.38sigma, start subscript, X, end subscript, approximately equals, 0, point, 38
A player wins 10 tickets for each successful toss. Let T represent the number of tickets a randomly chosen players wins in a game. What are the mean and standard deviation of T?

Answers

Answer:

2

Step-by-step explanation:

i think

Answer:

1.2

3.8

Step-by-step explanation:

khan

The quotient of 3 times a number n and 6 is 8. What is the value of n?

A.
24

B.
48

C.
4

D.
16

Answers

Answer:

d

Step-by-step explanation:

Simplify:-8у – (х- 4x) +3y

Answers

Answer:

=3x−5y

Step-by-step explanation:

Answer: =3x−5y

Step-by-step explanation:

EMERGENCY HELP PLEASE

Answers

Answer:

blue= x

pink=2x

green= 4x

orange=8

=

7x+8

Step-by-step explanation:

The dolphins are feed 64 buckets of fish each day. The penguins are feed 1/8 as many buckets of fish as the dolphins. How many buckets of fish do the penguins eat?

Answers

Answer:

8

Step-by-step explanation:

You just gotta divide 64 by 8

Help will give brainly and thanks
I have 5 mins

Answers

Answer:

no

Step-by-step explanation:

One season, the Cougars won 20 games. They played a total of 25 games.
Use the equation 20 + g = 25 to find g, the number of games the team lost.

Answers

Answer:

The team lost 5 games

Step-by-step explanation:

Hope i helped

A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?

Question 5 options:

33%


133%


75%


175%

Answers

Answer:

60-45= 15

15/45= 0.33

0.33 X 100 = 33%

Pierce swims ina pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?​

Answers

Answer:

B

Step-by-step explanation:

I think

How does the structure of a leaf enable photosynthesis to take place?
PLEASE HELP I KNOW THIS IS NOT FOR MATH BUT I DID NOT FIND SCIENCE :(

Answers

Answer:

Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.

3. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon. F(1,2). G(3,0), H(1,-2).

Answers

Answer:

Expand on the name.......

An hourly worker whose wage is $15 per hour will be paid how much for an eight-hour shift?

Answers

Answer:

the answer is $120

Step-by-step explanation:

because I multiply 15 x 8 = 120 so the hourly worker will have $120 from an eight hour shift or else you can use a calculator too

The required wage for the eight-hour shift is $120.


An hourly worker whose wage is $15 per hour will be paid. How much for an eight-hour shift to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
$15 wage =  1 hour
Multiply both sides by 8
$15*8 = 1*8 hour
$120 = 8 hour

Thus, the required wage for the eight-hour shift is $120.


Learn more about arithmetic here:
brainly.com/question/14753192


#SPJ2

An expression is evaluated as shown below.



8 + 3 × (4 ÷ 2) − 7



Step 1: 8 + 3 × 2 − 7

Step 2: 11 × 2 − 7

Step 3: 22 − 7

Step 4: 15



In which step does a mistake first appear?

Answers

Answer:

Step 2: 11 × 2 - 7

Step-by-step explanation:

unzsun sun dn I'd i

CORRECT ANSWER AND I WILL THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System Of equations:
Solve by elimination:

7x + 2y = 13

x - 2y = 11

Group of answer choices

(3 . -4)

(3 , 4)

(4 , 3)

(-4 , -3)

Answers

ExplanationEliminate y-term by adding both equations.

[tex](7x + 2y) + (x - 2y) = 13 + 11 \\ 8x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]

Substitute x = 3 in any given equations.

[tex]x - 2y = 11 \\ 3 - 2y = 11 \\ 3 - 11 = 2y \\ - 8 = 2y \\ \frac{ - 8}{2} = y \\ - 4 = y[/tex]

Answer Check

Substitute x = 3 and y = - 4 in both equations.

[tex]7x + 2y = 13 \\ 7(3) + 2( - 4) = 13 \\ 21 - 8 = 13 \\ 13 = 13[/tex]

[tex]x - 2y = 11 \\ 3 - 2( - 4) = 11 \\ 3 + 8 = 11 \\ 11 = 11[/tex]

Both equations are true for x = 3 and y = 4.

Answer

[tex] \large \boxed {(3, - 4)}[/tex]

Feel free to ask if you have any questions related to the answer or the explanation.

Please Help!



B belongs to AC D belongs to lineAF

Answers

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

sum the angles and equate to 180

72 + 2x + 2x = 180

72 + 4x = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

Andy and Jim are going to compete in the 100-meter dash against each other. Let AAA be the time it takes Andy to complete the race, and JJJ be the time it takes Jim to complete the race. Based on previous results, they know that \mu_A=11.5μ A ​ =11.5mu, start subscript, A, end subscript, equals, 11, point, 5 seconds and \sigma_A=1σ A ​ =1sigma, start subscript, A, end subscript, equals, 1 second. They also know that \mu_J=10.5μ J ​ =10.5mu, start subscript, J, end subscript, equals, 10, point, 5 seconds and \sigma_J=0.5σ J ​ =0.5sigma, start subscript, J, end subscript, equals, 0, point, 5 seconds.

Answers

Answer:

μd= 1 second

σd= square root (1.25) = √1.25 seconds= 1.1180 seconds

Step-by-step explanation:

Assume that their times are independent. Let DDD be the difference between their times in a random 100-meter dash (D=A-J)(D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.

Find the standard deviation of DD

The mean difference is found out by subtracting the individual means.

The mean difference = μd= μA- μJ= 11.5- 10.5= 1 second

The difference standard deviation is given by the square root of sum of the individual variances divided by n. But here n1= n2= 1

σd = sqrt( σ1² / n1 + σ2 ²/ n2 )

First we calculate the variances.

Variance is the square of the standard deviation.

The variance of Andy =σA²= 1²= 1

The variance of Jim =σJ²= (0.5)²= 0.25

The standard deviation difference= σd= √σ²A+ σ²J/1= √1+ 0.25/1= √1.25/1 = √1.25 seconds = 1.1180 seconds

What is the probability of picking one blue marble out of a bag containing 4 red, 5
blue, and 1 yellow marble?

Answers

Answer: 50:50

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!

Answers

Answer:

n>3

Step-by-step explanation:

the first one is 3 hopefully i am right

pls help, you have to write in fraction form.​

Answers

91/1, answer is 91

522% of 175 is 91

Answer:

42/145

Step-by-step explanation:

i tried might be wrong

Find the domain and range. Graph the relation and determine whether it is a function or not
{(0,0)(1,-1),(2,-4),(3,-9),(4,-16)}
please help im about to fail math

Answers

The domain is the set of all x-coordinates and

the range is the set of all y-coordinates.

So the domain for this relation is {0, 1, 2, 3, 4}

and the range is {0, -1, -4, -9, -16}.

Now, I graph these points below.

For the relation tobe a function, it must pass the vertical line test.

If we can draw a vertical line that passes through only one point

anywhere on the graph, the relation is a function.

Notice that if you were to draw a vertical line,

no line would intersect two points on the same line.

Help me please! I am in desperate need

Answers

Answer:

C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Step-by-step explanation:

The binomial theorem is given as:

[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]

[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].

*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]

Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

The supply and demand for vintage vinyl records are shown. Where is the equilibrium point.

Answers

Answer:

The point where the demand curve and the supply curve meets

Step-by-step explanation:

The equilibrium point is the point at which the quantity of vintage vinyl supplied and the quantity demanded is equal at a particular price.

From the graph, the equilibrium point is the point at which the demand curve and the supply curve intersects.

So, the equilibrium point if vintage vinyl is at the point somewhere between the price of 20 and 30, and the point where the quantity is somewhere between 50 and 100.

Answer:

at the intersection of the 2 lines at that dot that is on both lines

Step-by-step explanation:

What is the result when the number 52 is decreased by 50%?​

Answers

Answer: You get 26, If this wasn't what you were looking for let me know! :)

Step-by-step explanation:

Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)

Answers

Answer:

[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]

Step-by-step explanation:

The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:

Original function: [tex]g(x)=41x^3+a[/tex]

Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:

[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].

Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:

[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].

Other Questions
PLEASE HELP!! GIVING PLENTY OF POINTS AND WILL REPORT THANKS!!!The question is 1 b Pia printed 2 maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 6 cm.A landmark on the first map is a triangle with length on the side of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work.Will mark brainlyest if correct. 4. Thermal conduction works when two objects are in_______with each other. The_________energy of the molecules causes them to bounce into each other, causing heat to move throughthe object. 6 batteries cost 29 dollars what is the unit rate? During fetal development, change in a mother's body occur primarily as a result of various hormones secreted by the ___________Total kcal/d are greatest during which stage of life? Name three ways in which the political participation of African Americans was discouraged at the beginning of the 20th century. Please look at the picture i need help please WILL GIVE YOU BRAINLIESTIn the coordinate plane, the point X (3, -2) is translated to the point X'(2, - 4). Under the same translation, the points Y (7, 1) and Z (-1, 2) aretranslated to Y' and Z', respectively. What are the coordinates of Y' and Z'? The initial amount of bacteria in a culture is 12,000. The culture grows at a rate of 45% each day. Write an exponential function to model the population of y bacteria after x days. How many bacteria are there after 6 days? what is 12/6 simplified help plz IT'S DUE AT NINEE i dont understand these type of questions Plz help ASAP! 10 points I WILL GOVE BRAINLIEST!!!Male and female reproductive cells are collectively known as:SporesGametesPollenOffspring QUESTION 20Federal laws take precedence over conflicting state laws because of thea. judicial clause.b.supremacy clause.c. legislative clause.d. statutory clause. How many protons will every atom of Carbon (C) have?1412136 An 6 inch tall can of soda can hold 150 cubic cm. What is the radius of the top? if the tire pressure gauge is showing the reading 8% higher, the what is the actual pressure if the reading is 39.42? When does the expression below equal10?n + 3A when n=4B when n = 10C when n = 13D when n = 7 If your expenses total $21000 in Year 1 and you expect inflation rate to be 2 percent, how much more will you have to spend to buy the same goods and services in Year 2, assuming that all your expenses increase at the same rate as inflation? completely factor 7x^2 - 4x - 3