A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance, x, from the starting location?

Answers

Answer 1

Answer:

183.6 miles

Step-by-step explanation:

Kindly check the picture attached for the solution diagram

Using the cosine formula (Diagram has two sides and an included angle)

x² = y² + z² - 2zy * cosX

x² = 150² + 60² - 2(150*60) * cos115

x² = 22500 + 3600 - 18000 * −0.422618

x² = 22500 + 3600 + 7607.1287

x² = 33707.128 miles

x = √33707.128

x = 183.59501

x = 183.6 miles

A Ship Travels 60 Miles In The Direction S 45 E, Then Travels 150 Miles In The Direction S 20 W. What
Answer 2

Answer:

D

Step-by-step explanation:

183.60


Related Questions

My last math question! I need help. I'm not good at math so I'm relying on who ever do this to do so correctly!!!!

Answers

Answer:

c

Step-by-step explanation:

Two apps on your phone take away points for using your phone at school. You have 140 points on the first app and 80 points on the second app when a school day begins. Each time you check your phone, you lose 10 points on your first app and $p$ points on your second app. After you check your phone ten times, you have the same number of points on each app. Find the value of $p$

Answers

Answer: p = 4

Step-by-step explanation:

For app one, you start with 140 points, and you lose 10 each time you check your phone.

Then, if you check your phone x times, you will have:

140 - x*10 points in total.

For app two, you start with 80 points, and you lose p points each time you check your phone.

Then, if you check your phone x times, you will have:

80 - x*p points left

We know that when x = 10, you have the same number of points in both apps, then we have the equation:

140 - (10)*10 = 80 - (10)*p

We can solve this for p

140 - 10*10 = 80 - 10*p

140 - 100 = 80 - 10*p

40 = 80 - 10*p

10*p = 80 - 40

10*p = 40

p = 40/10 = 4

WILL mark brainliest

Answers

Answer:

do u have to find the pattern?

Step-by-step explanation:

If the diagonal of a television screen is 24 inches and the width is 16 inches,
what is the height of the screen? Leave the answer in simplified radical form
Please show you're work

Answers

Step-by-step explanation:

Let x be the height of the screen.

Using Pythagoras' Theorem,

we have x² + 16² = 24².

Therefore x² = 24² - 16² = 320,

x = √320 = 8√5 in.

The height of the screen is 8√5 inches.

250% of a number is the same as increasing the number by what percent?

Answers

Answer:

Since I am not given an increase number i will solve for numbers 1-5

1 - 25000%

2 - 12500%

3 - 8333.333333333332%     (I recommend you don't use this one)

4 - 6250%

5 - 5000 %

Each number, it will increase by 250% no matter what

Its the same as increasing by 250%

Hope this helps <3

John jogged 4.5 miles on Thursday, 7 2/5 miles on Friday, and 10.4 miles on Saturday. How many miles does John have to run in order to run 25 miles for the week


im giving 20 points

Answers

Answer:

2.7 miles

Step-by-step explanation:

25 - 10.4 - 4.5 - 7 2/5 will give you 2.7

Answer:

8 miles

Step-by-step explanation:

If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.

70÷50=1.4

So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:

1.4 minutes mile × 5 miles = 7 minutes

Thus it will take her 7 minutes to run 5 miles at this pace.

If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.

If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

A cabinet holds 16 plates and
12 bowls. What is the ratio of plates
to bowls written in simplest form?

Answers

Answer:

4:3

Step-by-step explanation:

What is the exact value of tan(67.5°) ?

Answers

Answer:

[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]

Step-by-step explanation:

correct on edge2020

The required exact value of tan(67.5°) is -2 + √(2).

What are trig ratios?

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:

tan(x/2) = (1 - cos(x)) / sin(x)

We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:

tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)

We can then use the following exact values:

cos(135°) = -√(2)/2

sin(135°) = -√(2)/2

Substituting these values, we get:

tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)

Rationalizing the denominator, we get:

tan(67.5°) = -2 + √(2)

Therefore, the exact value of tan(67.5°) is -2 + √(2).

Learn more about trig ratios here:

https://brainly.com/question/14977354

#SPJ6


A store pays $100 for a barbecue grill and marks the price up by 7%. What is the amount
of the mark-up?

Answers

Answer:

$7

multiply .07 times 100

I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST

Answers

Answer: Yes, it is in the blue shaded area

Step-by-step explanation:

Yes it is the blue shaded area

need help on this asap pleaase

Answers

I think it’s 2, -2 but I am not completely sure. Sorry if it’s wrong if it right pls mark branliest

Timothy purchased a computer for $1000. The value of the computer depreciates by 20% every year.

Answers

Answer:

We can apply the straight-line method to solve for the value of the computer every year.

Step-by-step explanation:

Step one:

What is depreciation?

It can be defined as the loss of value of a commodity.

In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.

We are told that the computer cost is $1000

let the number of years taken for the computer to depreciate be x

Step two:

Say we want to find the value of the computer after 1 year, the value of the computer will be

Value of computer= 1000-20/100*1000

Value of computer= 1000-0.2*1000

Value of computer= 1000-200

Value of computer= $800

Step three:

For the second year, the value will be

Value of computer= 800-20/100*800

Value of computer= 800-0.2*800

Value of computer= 800-160

Value of computer= $640

Answer:

This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.

Step-by-step explanation:

PLATOOOOOO

In March, you have $220 in your savings account. By the end of April, your savings have increased by 30%. How much money do you have in your savings account at the end of April?

Answers

Answer:

286

Step-by-step explanation:

I dit 220+30%=286

Answer:

$286

Step-by-step explanation:

220 • 0.3 = 66

220 + 66 = 286

7th grade help me please:)

Answers

Answer:

4^9

262144

Step-by-step explanation:

Solve the equation.
x2 + 13x + 30 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There is no solution.

Answers

Given that,

An equation : [tex]x^2 + 13x + 30 = 0[/tex]

To find,

The value of x.

Solution,

We have, [tex]x^2 + 13x + 30 = 0[/tex]

We can solve it as follows :

[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]

So, the solution of the given equations are -3 and -10.

Solve for x: x — 10 = 3х – 12

Answers

Answer:

x=1

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x−10−3x=3x−12−3x

−2x−10=−12

Step 2: Add 10 to both sides.

−2x−10+10=−12+10

−2x=−2

Step 3: Divide both sides by -2.

−2x/−2 = −2/−2

x = 1

Select the correct shapes.
Select the shapes that are similar to shape A.

Answers

Answer: Its the pink one and the green one

hope that was helpful!

Step-by-step explanation:

Answer:

pink, dark blue, and red

Step-by-step explanation:

Alazari rode her bike to school
then the hospital and back home.
If she lives 70 meters from school
and 60 meters to the hospital, how
far did she travel in all?
-

Answers

260meters because 70+70=140 and 60+60=120 which is 140+120=260
This answer applies to the question only if the 3 locations are collinear, if they are not I don’t believe that there is a possible solution for the problem

the two angles measuring (30 + 2 a)degree and (125 -a) degree supplementary to each other, then find the value of a.​

Answers

Answer:

The value of a is 25

Step-by-step explanation:

When two angles are supplementary, they add up to 180 degrees

Mathematically,

(30 + 2a) + (125-a) = 180

30 + 2a + 125 - a = 180

a + 155 = 180

a = 180-155

a = 25 degrees

Can someone please help me with this if I’m right or wrong:)

Answers

The correct answer is y=4/3x

A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?

Answers

Answer:

A. 0.0058

Step-by-step explanation:

Round or fraction form round all the WAY!

Answers

Answer:

The answer to the question provided is

[tex] - \frac{3}{2} [/tex]

Divide 2x^4+3x^3-5x+6 by x^2+3x-2 .

Answers

2x^4 + 3x^3 - 5x + 6  ÷ x^2 + 3x - 2

= 2x^6 + 3x^5 − 2x^3 − 2x^2 + 6/ x^2

Joe has eaten 2/5 of a pizza.Jane has eaten 1/6 of a pizza how many more pizza has joe eaten than Jane?

Answers

Joe ate 7/30 more of pizza than Jane. You can just subtract 2 uneven denominators. So you would turn them into 30 because that’s the closest highest number that can go with 5 and 6. Then multiply 2 with 6 which is 12 and then multiply 1 with 5 which is 5 now you can subtract it. 12/30-5/30=7/30.

Final Result: 7/30


Round the number 2.72603 to 2 decimal places.

Answers

Answer:

2.73

Step-by-step explanation:

You round 6 up to get 2.73

Please give brainliest and thank me if it helped

2.70
rounded seven back coz 2 is less than 5

15 = 5/ 3(x + 12) solve for x in simplest form

Answers

Answer:

x= -10 1/5 or -10.2

Step-by-step explanation:

Writer the ratio in 3 ways 4 books for every 25 shelves

Answers

Answer:

400:2500 , 40:250 ,and 4:25

Maria and laurie are making orange juice.Maria use 2 cups of concentrate and 5 cups of water. Laurie uses 3 cups of concentrate and 7 cups of water . Whose mix would be the strongest? Why?

Answers

Answer:

Step-by-step explanation:

To obtain the strongest mix :

Maria:

2 cups of concentrate ; 5 cups of water

Ratio = 2/5 = 0.4 concentrate per 1 cup of water

Laurie:

3 cups of concentrate ; 7 cups of water

Ratio = 3/7 = 0.4285714 concentrate per 1 cup of water

0.4285714 > 0.4

Hence, Laurie's mix is the strongest as it has higher concentrate per cup of water.

Jayden's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.

Answers

Answer:

D= distance covered by amount (g) gallons

D=23g

Step-by-step explanation:

Solve for p. p/8 + 12 = 36

Answers

9514 1404 393

Answer:

  p = 192

Step-by-step explanation:

p/8 +12 = 36 . . . . . given

p/8 = 24 . . . . . . . . .subtract 12

p = 8·24 . . . . . . . . .multiply by 8

p = 192

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