A lake is 200 feet wide. Two boats start to move towards one another from opposite shores. In one minute, the first boat goes 40 feet, and the second boat goes 30 feet (they are very slow!).

Answers

Answer 1

Answer:

I use faction

Step-by-step explanation:

The first boat.

[tex]\frac{40 feet}{60 seconds}[/tex] ÷ 10 = [tex]\frac{4 feet}{6 seconds}[/tex]

[tex]\frac{4 feet}{6 seconds}[/tex] ÷ 2 = [tex]\frac{2 feet}{3 seconds}[/tex]

The first boat move [tex]\frac{2 feet}{3 seconds}[/tex]

The second one do the same

[tex]\frac{30 feet}{60 seconds}[/tex] ÷ 10 = [tex]\frac{3 feet}{6 seconds}[/tex]

[tex]\frac{3 feet}{6 seconds}[/tex] ÷ 2 = [tex]\frac{1.5 feet}{3 seconds}[/tex]

That is the speed of each boat.

The first boat need 50 minutes to get to the other side

2000 ÷ 2 =1000

1000 x 3 = 3000

3000 ÷ 60 = 50

The second boat need 66.6666666667 minutes to get to the other side

200 ÷1.5 = 1333.33333333

1333.33333333 x 3 = 4000

4000 ÷ 60 = 66.6666666667


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Find the measure of 48.
48
97/83
97
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it’s 83°

step by step :

Find the value of x. Round to the nearest whole number.

Answers

Use trigonometry.

sin x = opposite ÷ hypotenuse

sin x = 7/9

Take the arcsin on both sides.

arcsin(sin x) = arcsin(7/9)

x = 51.057558731

Rounding to the nearest whole number means to round to the ones place.

Answer: x = 51 degrees

Are the triangles similar?
Yes or no please let me know

Answers

Answer:

I think they are.

Answer:no

Step-by-step explanation:

The 30 was subtracted by 10 to make 20. Only thing is that 37 - 10 doesn’t equal 24. Also 2 angles inside both triangles are not the same so your answer is no.

Please
Help me on question 1 :))

Answers

9514 1404 393

Answer:

  -2

Step-by-step explanation:

The solution to the system is where the lines cross. The x-coordinate of that point is its horizontal distance from the y-axis.

The solution is (x, y) = (-2, 2). The x-coordinate is -2.

Use 22/7 for Pi.

What's the area of this circle? It's radius is 70cm.

Answers

Answer:

1500 cm²

Step-by-step explanation:

→ State area of circle formula

π × r²

→ Substitute in values

22/7 × 70² = 1500

→ Include units

1500 cm²

You park your car, and start walking west on Robinson Street at a speed of 2.1 m/s. After 16 minutes, you turn left. It really is a beautiful day out, and so you slow your speed to 1.1 m/s and continue walking to the south on Rosalind Avenue for another 12 minutes. At this point, you realize that you have a library book on hold at the downtown branch, and decide to make a quick detour to pick it up. You turn right and jog west at a speed of 3.4 m/s for 28 seconds to cross the street before the light changes. At this point, how far (in meters) are you from your car?

Answers

Answer:

The distance is 2077.77m

Step-by-step explanation:

Given

Represent speed with s and time with t

[tex](s_1, t_1) = (2.1m/s,16min)[/tex] ---- Left

[tex](s_2, t_2) = (1.1m/s,12min)[/tex] --- South

[tex](s_3, t_3) = (3.4m/s,28sec)[/tex] ---- Right

Required

How far are you from your car?

[tex]distance=speed * time[/tex]

To solve this question, I will use the attached image to illustrate the movement.

First, we calculate distance AB

Using: [tex](s_1, t_1) = (2.1m/s,16min)[/tex] ---- Left

[tex]d_1 = s_1 * t_1[/tex]

[tex]d_1 = 2.1m/s * 16min[/tex]

Convert min to secs

[tex]d_1 = 2.1m/s * 16*60s[/tex]

[tex]d_1 = 2016m[/tex]

[tex]AB = 2016m[/tex]

Next, we calculate the distance BC

Using: [tex](s_2, t_2) = (1.1m/s,12min)[/tex] --- South

[tex]d_2 = 1.1m/s * 12min[/tex]

[tex]d_2 = 1.1m/s * 12*60s[/tex]

[tex]d_2 = 792m[/tex]

[tex]BC = 792m[/tex]

Next, we calculate distance CD

Using: [tex](s_3, t_3) = (3.4m/s,28sec)[/tex] ---- Right

[tex]d_3 = 3.4m/s * 28s[/tex]

[tex]d_3 = 95.2m[/tex]

[tex]CD = 95.2m[/tex]

The distance between you and the car is represented as AD.

Considering triangle AOD, we have:

[tex]AD^2 = AO^2 + OD^2[/tex]

Where:

[tex]AO = AB - BO[/tex]

and

[tex]BO = CD[/tex]

So:

[tex]AO = AB - CD = 2016m - 95.2m[/tex]

[tex]AO = 1920.8m[/tex]

[tex]OD = BC[/tex]

[tex]OD = 792m[/tex]

The equation becomes:

[tex]AD^2 = AO^2 + OD^2[/tex]

[tex]AD^2 = 1920.9^2 + 792^2[/tex]

[tex]AD^2 = 4317120.81m^2[/tex]

[tex]AD= \sqrt{4317120.81m^2[/tex]

[tex]AD= 2077.76822817 m[/tex]

[tex]AD= 2077.77 m[/tex] --- approximated

mrs.Brown uses 1/4 package of graph paper for each class. She needs 1 1/2 packages to serve sll of her classes. how many classes does mrs. browm teach?​

Answers

6 classes! I hope this helped

Please help! I really need help.

Answers

Answer:

i believe it is a polynomial, but I need to see the options available to give you a better answer.

Step-by-step explanation:

trust lol

Help i need the answer asap

Answers

Answer:

B

Step-by-step explanation:

if you graph this you go down 1 and to the right 3, so it would be a negative slope.

if people are going the movies and the the tickets cost n the cost would be the anwser ____in the box
| 8n+6 |
-------
if they buy 6 tickets how much would it cost

Answers

Answer/Step-by-step explanation:

Epression to solve with: 8n+6

Number of tickets : 6

n - number of tickets

So you equation would be :

8(6) + 6

First multiply:

8*6 = 48

48 + 6

Next add:

48 + 6 = 54

Answer : $54

Round the number 52.810 to the nearest hundredth.

Answers

Answer:

rounded to the nearest hundredth it would be 52.81

Answer:

52.81

Step-by-step explanation:

Rounded to nearest hundreth

x/6 - 10 = 2


Show your work.

Answers

Answer:

72

Step-by-step explanation:

collect like terms and crossmultiply

car A and car B starts their journey from mumbai to reach surat. the speed of car A is 3/4 of car b. if car b takes 12 hrs to reach surat how long will car a take?

Answers

Answer:

131,000 (0.99)

Step-by-step explanation:

well i just added it up and it takes that much that is at the top

could you help me thanks​

Answers

Answer:

The answer would be -4. hope this helped!

The answer should be -4

m is a negative number.
Which statement is correct?
Choose only one answer.
A. m + 9 is always positive
B. m + 9 is always negative
C. m + 9 cannot be zero
D.m + 9 could be positive or negative or zero

Answers

Answer:

D

Step-by-step explanation:

Cards are chosen at random from a deck. What is the probability of getting clubs?

Answers

Answer:

1/4

Step-by-step explanation:

becayse there are 4 different kinds of suits in a deck

What is equivalent to 4x-2=38

Answers

2x4 is the answer to 4x-2=38

Evalute the expression ​

Answers

Answer:

what do we evaluate the picture is all blurry and won't show up

please help ! I need help with math because I am failing and I might have to repeat the grade.. I have a quiz right now I don’t understand this question I will provide a photo above thank you <3! question “10“ btw

Answers

2560 fluid ounces in pints is 160 which is A.

If this is incorrect, please don't refrain to tell me and I'll correct my answer. Thank you.

Solve this......(r+2)(2r-4)

Answers

Answer:

2r^2-8

Step-by-step explanation:

(r+2)(2r-4)

2r^2-4r+4r-8

Combine like terms.

2r^2-8

gasoline was $3.759 per gallon 1 week and 3.879 per gallon by next week how much did the price change ​

Answers

Answer:

.12 cent

Step-by-step explanation:

Answer:

0.120

Step-by-step explanation:

3.879-3.759

0.120

Alvin is 12 years older than Elga. The sum of their ages is 82. What is Elga's age?

Answers

Answer:

Alvin is 47 and Elga is 35

I promise

In a​ circle, a 315 sector has area 504piin2. What is the radius of the​ circle?

Answers

Answer:

Step-by-step explanation:

θ = 315°×π/180° = 1.75π radians

area of circle = (area of sector)2π/θ

= (504π)2π/θ

= 576π in²

576π = πr²

r = √576 = 24 in

1/3 and 2/6 how is each pair equivalent?

Answers

Answer:

By multiple by 2

Step-by-step explanation:

1 multiplied by 2 = 2

3 multiplied by 2 = 6

In that case they equivalent due to the number 2.

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.)
{1, 7, 13, 19, 25, . . . }

Answers

Answer:

the formula is a_n = 6n - 5

Step-by-step explanation:

The formula is

Given that

{1, 7, 13, 19, 25, . . . }

The difference between the numbers is

7 -  1 = 6

13 -7 = 6

19 - 13 = 6

a = 1

d = 6

Now the formula is

a_n = a + (n - 1)d

= 1 + (n - 1)6

= 1 + 6n - 6

= 6n - 5

So, the formula is a_n = 6n - 5

Can someone help please

Answers

Answer:I got the pic over here

Step-by-step explanation:

Charlies has a steering wheel that is 2 feet in diameter, What is the radius of the steering wheel?​

Answers

Answer:

The radius is 1 ft

Step-by-step explanation:

r = d/2

r = 2/2

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solve for X


please answer will give brainliest!!!!!!!!

Answers

Answer:

7.9

Step-by-step explanation:

5.8+2.1=7.9

Every five years in August, the population of a certain city is recorded. In 2010, the city had a population
of 7500 people. From 2010 to 2015, the population decreased by 20%. From 2015 to 2020, the
population increased by 55%. What was the city's population in 2020? (3 points)

Answers

Answer:

10,000

Step-by-step explanation:

yes

Hey guys this is one of the due work for my math class and i kinda need help with this.
I dont want to ask for help from my teacher. she makes it more stressful on me

Answers

Here is the process so you can just search up the rest. 5/6 divided by 2/3, what you wanna do is leave 5/6 the same and change 2/3 to 3/2 but this time multiply so, 5/6 x 3/2 then just multiply normal 5 x 3= 15 and 6x2=12 so you get 15/12 also equal to 1 3/12! Hope it helps!
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