Amy and Cole start at the same point and begin skiing in different directions. Amy is skiing west at a speed of 4 miles per
hour. Cole is skiing north at a speed of 2 miles per hour.
After how many hours will they be exactly 8 miles apart? Round your answer to two decimal places.

Answers

Answer 1

Answer:

1.79

Step-by-step explanation:

Using the distance formula, we can find the distance between them as a function of time t:

D(t)=(x0−x1)2+(y0−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=(−4t−0)2+(0−2t)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=16t2+4t2‾‾‾‾‾‾‾‾‾‾√=20t2‾‾‾‾√=t20‾‾‾√

(Note that we can say t2‾‾√=t and not |t| because in this question t>0). Setting this equal to 8 and solving for t, we find

t20‾‾‾√t=8=820‾‾‾√≈1.79


Related Questions

convert 25/100 into percent

Answers

Answer:

[tex]0.25[/tex]

Step-by-step explanation:

1) Divide the numerator by 100.

[tex]0.25[/tex]

Therefor, 25/100 in percent will be 0.25% which is 25%.

Answer:

25 %

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

25/100

The number above the bar is the numerator: 25

The number below the bar is the denominator: 100

Divide the numerator by the denominator to get fraction's value:

Val. = 25 ÷ 100

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

Calculate the percent value:

25/100 =

25%;

Hope it is helpful....

PLEASE HEEEEEEEEEEEEEELLLLLLLLLPPPPPPP

Answers

Answer:

10, 32, 25

hope this helps!

Answer:

10, 32, 25

Step-by-step explanation:

it's half of the numbers

4 is half of 8

10 is half of 20

16 is half of 32

25 is half of 50

2. A spinner is made up of three colored sections. Each time it is pon the colorit lands on is recorded.
The table shows the results.
Spinner Results
COLOR
FREQUENCY
15
green
orange
21
red
14
Based on the data in the table what is the probability that the result of the next spin will be red?
O A И
O

Answers

Answer:

14/50

Step-by-step explanation:

14/50

Daniel had $30 to spend at the fair admission to the fair is $7 and rides cost $1.50 each write an inequality that represents Daniels situation

Answers

Answer:

1.5r + 7 ≤ 30

Step-by-step explanation:

r = rides rode (that's sounds weird but funny lol)

Admission costs $7. Each ride costs $1.50, so the money he spends has to be less than or equal to $30

Which of the following answer is equivalent to this expression 8+12x

Answers

Answer:

what is the answer choices

Step-by-step explanation:

answer:

4(2+3x)

step-by-step explanation:

4(4+3x)=16+12x

4(x+3x)=16x

3(5+9x)=15+27x

4(2+3x)=8+12x

how to solve 4(2+3x):

4(2+3x)

=(4)(2+3x)

=(4)(2)+(4)(3x)

=8+12x

good luck :)

hopefully, this helps

have a nice day !

Choose the proper steps needed to solve the following equation and give the
solution for k:
-5k +2k = 45.
1) subtract 2k, then divide by -5
2) combine like terms, then divide by 3
combine like terms, then divide by -3
4) combine like terms, then add 3

Answers

Answer:

1

Step-by-step explanation:

subtract 2k, then divide by -5

The volume of this sphere is 15500cm3.
Work out the length of the radius,
r
.
Give your answer rounded to 1 DP

Answers

Answer:

r = 15.5

Step-by-step explanation:

4/3 pi r^3 = 15500 cm^3

r^3 = 15500 ÷ (4/3 pi)

r^3 = 3700.35

r = cube root of 3700.35

r = 15.467

r = 15.5

Answer:

4/3 π r³= 15500

r³=15500×3/4×7/22

r≈15.2 cm

Step-by-step explanation:

I have no idea what to do. Pls help me

Answers

for the first one all u do is 5 times 2 = 10 + 2 = 12. the denominator stays the same so 12/5. then you do the same thing to the other fraction. 3 times 1 = 3 + 2 = 5. the denominator stays the same so your fraction is 5/3. so the answer is 12/5 times 5/3.

hope this helps !

last year hari was 4 feet tall, and this year he is 5 feet tall. what is the percent increase of his height?​

Answers

Answer:

75%

Step-by-step explanation:

hsjdidjdbdkosksksldmenk

Last year Hari was 4 feet tall, and this year he is 5 feet tall. There is a 25% increase in his height in one year.

What is a percent in math?

Percent, a relative value indicating the hundredth part of any amount. One percent (symbolized 1%) is the hundredth part; for that reason, 100 percent represents everything and 200 percent specifies two times the given amount.

Conclusion: The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate the percentage is: (value/total value)×100%.

let 4feet be 100% of his height.

4 - 100%

x% = (increased height/actual height) * 100

x% = (5/4) * 100

x% q= 125

percent increase of height = 125-100 = 25

learn more percentages here https://brainly.com/question/843074

#SPJ2

HELP!!
A right triangle has a hypotenuse measuring 25 centimeters and one leg measuring 7 centimeters. What is the length in centimeters, of the other leg of
the right triangle?
26 cm
O 576 cm
674 cm
24 cm

Answers

24 cm bc 25 squared is 625 and 7 squared is 49. 625-49=576. Now the square root of 576 is 24 and boom your answer

The red thing at the top is a right angle. Find the missing side lengths and leave answers as radicals in simplest form ILL GIVE BRAINLIEST

Answers

Answer:

A. x = 13

y = (13√3)/3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = (26√3)/3

Adjacent = x

Opposite = y

✔️Apply CAH to find x:

Cos 30 = Adj/Hyp

Cos 30 = x/(26√3)/3

√3/2 = x*3/(26√3) (cos 30 = √3/2)

√3/2 = 3x/(26√3)

Cross multiply

2*3x = (26√3)*(√3)

6x = 26*3

6x = 78

x = 78/6

x = 13

✔️Apply SOH to find y:

Sin 30 = Opp/Hyp

Sin 30 = y/(26√3)/3

Sin 30 = y*3/(26√3)

½ = 3y/(26√3) (sin 30 = ½)

Cross multiply

2*3y = (26√3)*1

6y = 26√3

Divide both sides by 6

y = (26√3)/6

y = (13√3)/3

Is the relation a function?

The relation can be represented by the ordered pairs (2, 1), (3, 4), (5, 19), and (8, 7).

Answers

2...5......4444444.....4444445.
Yes it is a function. The x value does not repeat.

Given that h(x) = -3x - 7, what is h(-4)?

Answers

Answer:

x=−3x−7whatish(−4)

Step 1: Flip the equation.

28ah2istw−3x=x

Step 2: Add 3x to both sides.

28ah2istw−3x+3x=x+3x

28ah2istw=4x

Step 3: Divide both sides by 28h^2istw.

28ah2istw

28h2istw

=

4x

28h2istw

a=

x

7h2istw

Answer:

a=x7h2istw

Answer:

x = -1 when h(x) = -4

Step-by-step explanation:

Solve for x when h(x)= -4

h(x) = -3x - 7

-3x - 7 = -4

     +7    +7

-3x = 3

divide -3 by 3

-3x/3 = 3/-3

x = -1

You can check this by plugging the -1 into x

-3x - 7

-3(-1) - 7

3 - 7 = -4

Janiya just turned 18 years old. She spent 4/9 of her life in NY. How many years did Janiya live in NY? *

Answers

4/9 x 2 = 8/18 so 8 yrs of her life

Which of the g-values satisfy the following inequality? 7 > 12- 9 Choose all answers that apply:
g=4
g=5
g = 6​

Answers

Answer:

the answer is g=6

Step-by-step explanation:

because I know

Malcolm buys a 5/6 pound of black beans and a 3/4 pound bag of pinto beans. How many pounds of beans does Malcolm buy in all?​

Answers

Answer:

1 7/12

Step-by-step explanation:

5/6+3/4=10/12+9/12 = 19/12 or 1 7/12

A sequence of distinct vertices such that two consecutive vertices are adjacent is known as path.
Seled one.
True
False​

Answers

HEY MATE THIS IS UR ANSWER

TRUE.

When two vertices are joined by an edge, we say those vertices are "adjacent". Adjacent vertices are vertices that are joined by an edge, non-adjacent vertices are vertices not joined by an edge.

Could it be true or am I wrong and if so why?

Answers

Answer:

False

Step-by-step explanation:

Its not a repeating Decimal

Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 48.8°F​, what will be the temperature when the plane reaches an altitude of 8,000 ft​?

Answers

Answer:

33.6 degrees F

Step-by-step explanation:

8000/1000 = 8

8(1.9) = 15.2 degree drop

48.8 - 15.2 = 33.6 degrees F

if you say i need help i will be their right away because your in danger

Answers

Answer:

oh wow thx

Step-by-step explanation:

A store sells 0,1,2,3,4,5,6,7,8 items daily with the same probability. Find the probability that one day you will sell more than 3 items.

Answers

Answer:

5/9

Step-by-step explanation:

Each number - 0 through 8 - has an equal probability of being the number of sales on a particular day.

There are 9 possibilities of equal likelihood, so each one has a probability of 1/9.

So we want the probability of the number of sales being 4, 5, 6, 7, or 8.

Those are 5 out of the 9 possibilities, so 5(1/9) = 5/9.

Jillian lands the beanbag in the hole in about half of her attempts in a beanbag toss game. How can she predict the number of times she will get the beanbag in the hole in her next 5 attempts using a coin toss?

Answers

Step-by-step explanation:

So in the case of Jillian, landing the beanbag in the cornhole is 1/2. So this is just like flipping a coin.

the first time she tosses the beanbag she has a 1/2 chance of getting it in the cornhole and 1/2 chance of getting it outside the cornhole. And since she needs to get 5 tosses in a row into the cornhole, we multiply

1/2(1/2)(1/2)(1/2)(1/2)=1/32

I hope that helps :)

6. During the winter months, there is a decrease of between 10 and 30 percent in business at a certain restaurant. Which of the following could not be the percent that winter business is of the normal business?

Answers

D (94)

Hoped I help :]

D 94
!!!!!!!!!!!!!!!!!!

5 couples want to have their pictures taken. In how many ways can they arrange themselves in a row if couples must stay together

Answers

Can u explain it more?

PERMUTATION is my answer...mm

erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?​

Answers

Convert to equivalent fractions to see
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime

I don't get this problem

Answers

Just assuming - A = 20, B = 120, and C = 40
F = 30, G = 75, and H = 75

WILL GIVR YOU BRAINLEST PLEASE HELP ASAP!
Lines & and m are intersected by transversal t and e // m.

1
5
6
8
By which postulate or theorem is 23* 26?
A. Alternate Exterior Angles Theorem
O
B. Alternate Interior Angles Theorem
o
C. Corresponding Angles Theorem
D. Same-Side Interior Angles Postulate

Answers

Sorry the question you typed is kinda messy. But I see you have typed “23* 26” I’m gonna assume you’re asking which postulate or theorem is angle 2 and angle 3, and angle 2 and angle 6. So angle 2 and 3 are vertical angles. Angle 2 and 6 are corresponding angles. If that wasn’t what you wanted, please let me know in the comments so I can understand your problem clearly and solve it.

Jennifer spent $75 on each visit to the grocery store. Write an equation to represent the amount she
spent, y, on x visits to the grocery store.
A y = 75x
B x = 75y
C 75 + x = y
D y = 75 - X

Please help

Answers

A 1 visit = 75 x 1 = 75 $ ; 2 visits = 75 x 2 = 150 $ ...

Mia is rolling a pair of 666-sided dice.
P(n)P(n)P, left parenthesis, n, right parenthesis models the probability of the event that the sum of the dice is nnn.
Which number type is more appropriate for the domain of PPP?
Choose 1 answer:

Answers

Answer:

The domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

Step-by-step explanation:

A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.

Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.

Hence, the domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

Answer:

integers

2<_x<_12

Step-by-step explanation:

A rectangle is 6 centimeters longer than it is wide.
Its length and width are both increased by
4 centimeters.

Answers

Answer and Step-by-step explanation:

The length = 6 + w

The width = w

Rectangle when the length and width is increased by 4 centimeters.

length = 10 + w

width = 4 + w

#teamtrees #PAW (Plant And Water)

Other Questions
List 5 great results (of the many) from the completion of the Transcontinental Railroad on the U.S.? It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198 text messages? What is the gravitational force that two objects would feel if they are 3.5 meters apart? Object 1 has a mass of 10x10^5 kg and object 2 has a mass of 3x10^5 kg? Need help, will give a lot of points to whomever answers quickly! I need help with question 5.Please show ur work! Thank you! I'll take sum help thx :) 100 points Find the shaded area. Round your answer to the nearest tenth. Fay asked me to come quickly if I wanted to photograph Ebobo traveled across Africa to the camp and waited for the gorilla's next visit. Two months passed without a sign of Ebobo. Then one day I fell asleep on a picnic bench. I felt the slightest stirring and when I woke, there was Ebobo sitting right beside me! I called for Fay, and we rushed to follow the gorilla into the forest. Ebobo angrily stomped around. He grunted, beat his chest and knocked down bushes. He wanted to show us that he was the boss here, but we refused to run away in fear. Then the gorilla's behavior changed. He seemed to realize, "These guys are with me now." He led us deep into the forest, pausing from time to time so we could catch up. The jungle growth was thick with thorns and brush. Fay wasn't wearing shoes, and I barely had any film, but we followed Ebobo until dark. How could we turn back We were running with a wild gorilla. He led us into his world.What did Nick Nichols and Mike Fay do when Ebobo finally visited the camp?A.they followed him into the forest.B.they studied him in the research camp.C.they ran away from him in fear. Which two details are most important to include in a summary of the excerpt? Complete the sentence.The horizontal asymptote of f(x) = 0.8x is y = 0.The horizontal asymptote of h(x) = 0.8x 10 is y = A general (non specific) way to describe something such as color, shape, and hight Please help its just one simple question Which level of government do you think is responsible for that servicePLEASE HELP I HAVE ATTACHED A PICTURE OF THE QUESTION! Write the sum using summation notation, assuming the suggested pattern continues. -3+6+15+24+...+132 How does your family perceive you? And how does your friends view you? Explain why vigorous exercise causes the heart rate to increase and you to also breathe faster. list four examples of natural resources What is the volume of this rectangular prism? please help asap.... What is the area of the trapezoid shown below?The area of the trapezoid is square units.