Select the correct answer.
A cruise ship leaves its port at a heading of 135°. It travels for 400 miles, then turns to a heading of 180°. After another 250 miles, it reaches an
Island
What is the approximate distance between the port and the island?
A. 284.7 miles
B. 471.7 miles
C. 603.3 miles
D. 541.5 miles

Select The Correct Answer.A Cruise Ship Leaves Its Port At A Heading Of 135. It Travels For 400 Miles,

Answers

Answer 1

Answer:

[tex]{\text{C. }603.3\:\mathrm{miles}[/tex]

Step-by-step explanation:

The Law of Cosines works for any triangle and can be used to solve a triangle when we are given two sides and the angle between them.

Letting the missing side be [tex]c[/tex]:

[tex]c^2=a^2+b^2-2ab\cos C,\\c^2=400^2+250^2-2\cdot 400\cdot 250\cdot \cos135^{\circ},\\c^2=363921.356237,\\c=603.258946256\approx \boxed{\text{C. }603.3\:\mathrm{miles}}[/tex]


Related Questions

The surface area of a cude can be found'
with the formula A = 6s?. Ifs
= 9 cm,
what is the surface area of the cube?

Answers

Given : Surface area of a cube can be found with the formula :

⊕   A = 6s²

Given : s = 9 cm

⇒  Surface area of the cube = 6(9 cm)²

⇒  Surface area of the cube = (6 × 81) cm²

⇒  Surface area of the cube = 486 cm²

Answer : 486 cm squared

Every Friday is feeding day in our school. For our feeding, my teacher asks me to bring 1.5

kilograms of sugar and 500 milliliter of cooking oil, but the sari-sari store’s package of sugar is

by grams and cooking oil is by liter. What should I do?
with solution pleaseee​

Answers

Answer:

First, you should convert 1.5kg of sugar to grams.

Second, convert 500 millimeter of cooking oil into liter.

And then you will know the measure of that ingredients that you will buy in a sari-sari store.

3. Which expression has a value of 6

Answers

Answer:

A

Step-by-step explanation:

18/[tex]\left[(12*2)-(7*3)][/tex]

18/(24-21)

18/3

6

it would very much be a

Given that the function graphed is f(x), what is f(-2)?

Answers

Answer:

-4

Step-by-step explanation:

f(-2) Means the y value when x is -2. Just find x=-2 and trace it until it intersects with the blue line. Then get the y-value of the point

It’s about solving systems of equations...

Answers

Answer:

(-1,-1)

Step-by-step explanation:

help plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

I think I just posted that last time. Check my timeline

Write the tangent ratios for Y and Z.

help asap​

Answers

Answer:

Step-by-step explanation:

Answer d) is the correct one.

                                opposite side

tan Z is defined as ----------------------- and this is 5/3.

                                 adjacent side

What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?​

Answers

Answer:

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

Step-by-step explanation:

Use the point-slope form:  [tex]y - y_{1} = m(x - x_{1})[/tex]

[tex](x_{1}, y_{1})[/tex] = (-4, 2)

y - 2 = -5/4(x + 4)       Multiply by 4 to remove the fraction

4y - 8 = -5(x + 4)

4y - 8 = -5x - 20

4y = -5x - 12

y = -5/4 x - 3   is the slope-intercept form

5x + 4y = -12    is the standard form

THIS IS AREA OF CIRCLES PLS HELPP​

Answers

Answer:

3 ft

Step-by-step explanation:

You are given the area, and the area formula, and you can set them equal to each other:

pi r^2 = 9 pi

Divide by pi on both sides:

r^2 = 9

Find the square root of both sides to get:

r = 3 feet

Answer:

r = 3 ft.

Step-by-step explanation:

In order to solve this problem, you need to substitute the information given into the equation and solve for r. The problem tells us that the area of the circle is 9π ft². We can use this value and substitute it into the equation.

9π = πr²

⇒ 9 = r²

⇒ 3 = r

Therefore, the radius of the circle is 3 ft.

The price of an item yesterday was $130. Today, the price rose to $351. Find the percentage increase.​

please help and I will mark you braniest!

Answers

Answer: The percentage increase is 170%

Step-by-step explanation:

Increase= $351 - $130

Increase= 221

Percent increase = 221/ 130

Percent increase= 170%

I'm not sure if I'm right, but I hope that this helped:)

Answer:

170%

Step-by-step explanation:

130 = 100%

65 = 50%

13 = 10%

351 - 130 = 221 (doesnt count)

221 - 130 = 91

91 - 65 = 26

26 - (13 + 13) = 0

100 +  50 + 20 = 170%

PLS HELP ASAP!!

50 POINTS!

Answers

Answer:

135

Step-by-step explanation:

3³· (12 - 2) ÷ 2 = 3³ · 10 ÷ 2 = 27 · 10 ÷ 2 = 270 ÷ 2 = 135

MARKING BRAINLIEST ..Please

Answers

Answer:

B

Step-by-step explanation:

Have a good day :)

Answer: I think D.

Step-by-step explanation:


1) Bruce L. Sprouts had to take a loan worth $5,000.
The loan has a 3.5% interest rate.
He has to pay the loan off in 6 years.
A) How much will he have to pay for the interest?
B) How much will he have to pay total? Please answer fast show your work you will be marked as brain

Answers

Answer:

A) $1,050

B) $6,050

Step-by-step explanation:

We solve using the Simple Interest formula

Simple Interest (I) = Principal × Rate × Time

From that above question, we have the parameters

Principal = $5000

Rate = 3.5 % = 0.035

Time = 6 years

A) How much will he have to pay for the interest?

Hence,

Interest = $5,000 × 0.035 × 6

= $1,050

Therefore, the amount of interest he will have to pay is $1,050

B) How much will he have to pay total?

The amount he will have to pay in contact =

Principal + Interest paid on loan

= $5,000 + $1,050

= $6,050

The perimeter of a square tabletop is 20 feet. What size tablecloth is needed to make sure to cover all of the table?A. 16 ft2B. 25 ft2C. 80 ft2D. 400 ft2

Answers

The answer is: B. 25 the perimeter is 20ft meaning that every side of the square is 5ft, we’re solving for the area. The formula for finding area in squares would be Area=Side1xSide2 (A=5x5) which would give you 25.

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

the bowling ball!

b-brainliest..........?????

What is the solution to the system of equations below? y = 1/4x + 2 and 3y = - 3/4x -6
no solution
infinitely many solutions
(–16, 6)
(–16, –2)

Answers

Answer:

{y = x/4 + 2, 3 y = -(3 x)/4 - 6}

Step-by-step explanation:

llyssa and Mark conducted an experiment with two identical spinners that each contain 4 colors. They spun both spinners and recorded the outcomes. They repeated the experlment 50 times. The results are shown in the table. Colors Frequency 5 both red 1 red and 1 green 6 1 red and 1 blue 4 1 red and I yellow 5 both green 6 5 I green and 1 blue 1 green and I yellow 5 both blue 5 4 1 blue and 1 yellow both yellow 5 Based on the data, what is the probability that the next outcome will be 1 red and 1 blue? OA. 25 O c. 1 10 OB. 23 OD.​

Answers

Answer:

Step-by-step explanation:

Answer is a 2/25

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches .

1. Without calculating, predict which frame has a shorter width

(A.) Frame A

(B.) Frame B

Answers

Ima say B B B B B
That is what I think.

Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.

Answers

Answer:

2.74feet

Step-by-step explanation:

Since we are not told what to find, we can find the height of the plywood

Given the following

length of ramp = 8feet

angle of elevation = 20degrees

Required

Height of the plywood

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 20 = H/8

H = 8sin20

H = 8(0.3420)

H = 2.74 feet

Hence the height of the plywood is 2.74feet

The length of a rectangle is 8feet less than the width. The perimeter is 64 feet. Find the length and the width

Answers

Answer:

Length = 4 feet

Width = 4 feet

Step-by-step explanation:

The perimeter of a rectangle formula = 2L + 2W

Where L = Length

W = Width

The length of a rectangle is 8feet less than the width.

Hence,

L = 8 - W

The perimeter is 64 feet.

Hence,

64 = 2(8 - W) × 2W

64 =( 16 - 2W )2W

64 = -4W² + 32W

4W² - 32W + 64 = 0

Factorise

4W² - 16W - 16W + 64 = 0

4W (W - 4) - 16(W - 4) = 0

W - 4 = 0

W = 4

Width = 4

Solving for L

L = 8 - W

L = 8 - 4

L = 4

Therefore,

Length = 4 feet

Width = 4 feet

which choice is equivalent to the quotient shown here when x>=0 square root of 35x^5 divided by the square root of 7x^3


A. 5x

B. 5x^2

C. x^2 square root 5

D. x square root 5

Answers

Answer:

x√5 = x square root 5

Step-by-step explanation:

√35x^5 ÷ √7x^3 = √(35x^5 / 7x^3)

√(35x^5 / 7x^3) = √(5x^5 / x^3)

√(5x^5 / x^3) = √5x^(5-3) = √5x²

√5x² = x√5

The surface area of a cylinder is 520 ft.² The area of one of the bases is 254.34 ft.² find the height of the cylinder

Answers

Answer:

The height is 0.2003ft

Step-by-step explanation:

Given

[tex]Surface\ Area = 520[/tex]

[tex]Base\ Area = 254.34[/tex]

Required

The height of the cylinder

The base area of the cylinder is:

[tex]Base\ Area = \pi r^2[/tex]

This gives

[tex]254.34 = 3.14 * r^2[/tex]

Divide by 3.14

[tex]81 = r^2[/tex]

Take square root of both sides

[tex]r = \sqrt{81[/tex]

[tex]r = 9[/tex]

The surface area of a cylinder is:

[tex]Surface\ Area = 2\pi rh + 2\pi r^2[/tex]

This gives

[tex]520 = 2*3.14* 9h + 2*3.14* 9^2[/tex]

[tex]520 = 56.52h + 508.68[/tex]

Collect like terms

[tex]56.52h = 520 -508.68[/tex]

[tex]56.52h = 11.32[/tex]

Solve for h

[tex]h = 11.32/56.52[/tex]

[tex]h = 0.2003ft[/tex]

Match the cube roots and square roots with their values.
V4
327
64
364
49
31,000
2
10
3
4
8
7

Answers

2= sqrt 4
10= cube root of 1000
3= cube root of 27
4= cube root of 64
8= sqrt 64
7= sqrt 49

Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53

Answers

Given:

The data set is:

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

To find:

The median of the given data set.

Solution:

We have,

40, 76, 40, 63, 47, 57, 49, 55, 50, 53

Arrange the data values in ascending order.

40, 40, 47, 49, 50, 53, 55, 57, 63, 76

Here, the number of observations is 10 which is an even number. So, the median is:

[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]

Putting n=10, we get

[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]

[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]

From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.

[tex]Median=\dfrac{50+53}{2}[/tex]

[tex]Median=\dfrac{103}{2}[/tex]

[tex]Median=51.5[/tex]

Therefore, the median of the given data set is 51.5.

The lengths of the sides of a triangle are 12, 16, and 20. Classify the triangle as acute, right, or obtuse.

Answers

Answer:

Obtuse

Step-by-step explanation:

Believe it's a right triangle (12,16,20) 4 from everything

Step-by-step explanation:


Is this question a statistical question or a non statistical question: If I
asked you, is pizza your favorite food. *
A.Statistical
B.Non statistical

Answers

Answer: Non- Statistical

Step-by-step explanation:

It just isn't

Answer:

Step-by-step explanation:

No it’s not because it’s supposed to be like how much do you weigh or sumthin like that but the answer is no

~tye!

If you were trying to prove that a shape had all four sides congruent, which formula
would you be using?
A. Slope Formula
B. Distance Formula
C. Quadratic Formula
D. Midpoint Formula

Answers

I believe A. Hope this helps!
Slope maybe not sure

which set of parametric equations represents the graph of the function shown?

Answers

The answer is the second one or fourth, but imma go with the second one!! Hope this helps

The parametric set of equations for the graph function will be x = 4cos t and y = 7sin t. Then the correct option is A.

What is a parametric equation?

The number of the equations which depend on some parametric variable is known as parametric equation.

The graph is given below.

We know that cartesian coordinate to polar coordinate is given as

x = p cos t and y = q sin t

We have p and q will be 4 and 7 respectively. Then we have

x = 4 cos t and y = 7 sin t

Thus, the correct option is A.

More about the parametric equation link is given below.

https://brainly.com/question/9056657

#SPJ2

The diameter of a circle is 19 ft. Find the circumference to the nearest tenth.

Answers

Answer:

Half of 19 = 9.5(new radius)

2 x 3.4 x 9.5 = 64.6 ft is your answer.

Formula of circumference:

2 x 3.14(pi or 22/7 depending on what they tell you to use for pi) x radius(half of diameter or given radius)

Answer:

C = 59.7

Step-by-step explanation:

The formula for the circumference of a circle is C = 2πr

R = radius

The radius is the half of a diameter, so 19/2 is 9.5.

C = 2π(9.5)

C = 59.69026041

Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?

Answers

First you add all marbles so you know how many there are:

6+3+8= 17

Then, to find the probability you put the number of marbles which you want to find the probability of being pulled out on top of the fraction and make it out of 17

6/17

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