4. A ship traveled a distance of 50 km from port O at a bearing of 120°, then another 100 km to port B at a bearing of 200 °. What is the distance between ports O and B?



Answers

Answer 1

Step-by-step explanation:

Jesu


Related Questions

Help please 2 over 5D - 77 = 55.

Answers

Answer:

Step-by-step explanation:

2/(5d-77)=55

2=55(5d-77)

2/55=5d-77

5d=2/55 + 77

d = (2/55 + 77)/5

Hope you can calc that yourself

solve this asap plsss Giving 20 points ty <3

Answers

Answer:

24

Step-by-step explanation:

first 2×2=4

then 16÷4

4×6

24

Complete the table of values for the following function.

Answers

Answer/Step-by-step explanation:

To complete the table, given the function,   [tex] f(x) = \frac{1}{3}x^2 [/tex], plug in each value of x to find f(x).

Thus:

x = -6

[tex] f(-6) = \frac{1}{3}(-6)^2 = \frac{1}{3}(36) [/tex]

[tex] f(-6) = 12 [/tex]

[tex] f(-3) = \frac{1}{3}(-3)^2 = \frac{1}{3}(9) [/tex]

[tex] f(-3) = 3 [/tex]

[tex] f(0) = \frac{1}{3}(0)^2 = \frac{1}{3}(0)  [/tex]

[tex] f(0) = 0 [/tex]

[tex] f(3) = \frac{1}{3}(3)^2 = \frac{1}{3}(9) [/tex]

[tex] f(3) = 3 [/tex]

[tex] f(6) = \frac{1}{3}(6)^2 = \frac{1}{3}(36) [/tex]

[tex] f(6) = 12 [/tex]

If y = x + 5 and x = 3 then y =

Answers

Answer:

y=8

Step-by-step explanation:

if you subsitute 3 into x then it will be y=3+5 which equals 8, so y= 8

The number to which a base is raised to is called the ___. This tells you how many times to multiply the base together

Answers

Answer:

Exponent

Step-by-step explanation:

The base tells what number is being repeatedly multiplied, and the exponent tells how many times the base is used in the multiplication. Exponents and have special names. Raising a base to a power of is called “squaring” a number. Raising a base to a power of is called “cubing” a number.

its called an exponent

write an expression of the sequence of operations described below

subtract f from g then subtract 10 from the result ​

Answers

Answer:

the answer is: (g-f)-10

four times the difference of a number and 7 is 12

Answers

answer

20

Step-by-step explanation:

I think you mean for times the difference of seven and 12 or (12-7)×4 if not sorry

Answer: 10

Step-by-step explanation:

4(x - 7) = 12

x - 7 = 3

x = 10

The volume of a cube is 1,000 cubic meters. What is the length (in meters) of one edge of the cube

Answers

Answer:

10

Step-by-step explanation:

Cube root of 1000

That's 10

Answer:

Calculator to find all the properties of a cube given any one property. ... Definition: The number of cubic units that will exactly fill a cube. Try this ... The volume of a cube is found by multiplying the length of any edge by itself twice.

The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students’ answers. If there are 18,500 students at the college, how many chose Drama , Other, or Comedy ?

Answers

Answer:

12950

Step-by-step explanation:

comedy : 20% => 20 × 18500 ÷ 100 = 3700

drama : 23% => 23 × 18500 ÷ 100 = 4255

other : 27% => 27 × 18500 ÷ 100 = 4995

all together: (20 + 23 + 27) × 18500 ÷ 100 = 3700+4255+4995 = 12950

The solution is 12950.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

from the given graph, we get,

comedy : 20%

=> 20 × 18500 ÷ 100

= 3700

drama : 23%

=> 23 × 18500 ÷ 100

= 4255

other : 27%

=> 27 × 18500 ÷ 100

= 4995

so, we get,

all together: (20 + 23 + 27) × 18500 ÷ 100

                   = 3700+4255+4995

                   = 12950.

To learn more on percentage click:

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using addition formula solve tan 15​

Answers

Answer:

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

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = [tex]\frac{tanA-tanB}{1+tanAtanB}[/tex] and the exact values

tan45° = 1 , tan60° = [tex]\sqrt{3}[/tex] , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= [tex]\frac{tan60-tan45}{1+tan60tan45}[/tex]

= [tex]\frac{\sqrt{3}-1 }{1+\sqrt{3} }[/tex]

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + [tex]\sqrt{3}[/tex] is 1 - [tex]\sqrt{3}[/tex]

= [tex]\frac{(\sqrt{3}-1)(1-\sqrt{3}) }{(1+\sqrt{3})(1-\sqrt{3}) }[/tex] ← expand numerator/denominator using FOIL

= [tex]\frac{\sqrt{3}-3-1+\sqrt{3} }{1-3}[/tex]

= [tex]\frac{-4+2\sqrt{3} }{-2}[/tex]

= [tex]\frac{-4}{-2}[/tex] + [tex]\frac{2\sqrt{3} }{-2}[/tex]

= 2 - [tex]\sqrt{3}[/tex]

What does 3ˣ + 4·3ˣ⁺¹ =
a. 13·3ˣ⁺¹
b. 5·3ˣ⁺¹
c. 5·3²ˣ⁺¹
d. 13·3ˣ

Answers

Answer:

D. 13*3^x

Step-by-step explanation:

[tex]3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x[/tex]

The solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is the correct answer would be an option (D)

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

⇒ 3ˣ + 4·3ˣ⁺¹

⇒ 3ˣ + 4·3ˣ3¹

⇒ 3ˣ( 1 + 4·3)

⇒ 3ˣ( 1 + 12)

⇒ 3ˣ(13)

⇒ 13·3ˣ

Hence, the solution of 3ˣ + 4·3ˣ⁺¹ is 13·3ˣ which is correct answer would be option (D)

Learn more about exponential function here:

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Assume that adults have IQ scores that are normally distributed with a mean 105 of and a standard deviation 20 . Find the probability that a randomly selected adult has an IQ between 88 and 122 .

Answers

Answer:

0.6048

Step-by-step explanation:

Given the following :

Assume a normal distribution :

Mean (m) = 105

Standard deviation (sd) = 20

Find the probability that a randomly selected adult has an IQ between 88 and 122 .

Z = (x - m) / sd

For IQ score of 88:

Z = (88 - 105) / 20

Z = (-17) / 20

Z = - 0.85

For IQ score of 122:

Z = (122 - 105) / 20

Z = (17) / 20

Z = 0.85

P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)

P(-0.85<Z<0.85) = (0.8023 - 0.1977)

P(-0.85<Z<0.85) = 0.6048

Distance between points (-3, 1) and (5, -2) rounded to the nearest tenth. ​

Answers

Answer:

d ≈ 8.5

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in our 2 coordinates into the formula:

d = √[(5 + 3)² + (-2 - 1)²]

d = √[(8)² + (-3)²]

d = √(64 + 9)

d = √73

d = 8.544

d ≈ 8.5

List the next three numbers for the sequence: 7, 7 /2 , 7 /4 , 7/ 8

Answers

Answer:

7/16, 7/32, 7/64

Step-by-step explanation:

PLEASE GIVE BRAINLIEST OR AT LEAST A THANKS!

Answer:

7/16, 7/32, 7/64

Step-by-step explanation:

7, 7 /2 , 7/ 4 , 7/ 8

We multiply by 1/2 each time

7/8 *1/2 = 7/16

7/16*1/2 = 7/32

7/32 *1/2 = 7/64

3 lines intersect to form 5 angles. Clockwise, from top left, the angles are B = question mark, 90 degrees, C = question mark, D = 124 degrees, A = question mark. What is the value of m∠A + m∠B? °

Answers

Answer:

The answer is 90 degrees

Step-by-step explanation:

Both A and B make a right angle, which is 90 degrees.

Hope it helped :)

The value of m∠A + m∠B is 90°

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

Three lines intersect to form 5 angles such that:

From the top left ∠B made and after this 90° made.

∠D = 124°

From the figure, we can clearly see ∠A = ∠C (vertically opposite angles)

We can calculate ∠C = 360°-90°-90°-124° ⇒ 56°

Also ∠A = 56°

and ∠B = 90° - 56° ⇒ 34°

Now we can calculate the sum of the angle ∠A+∠B = 56+34 ⇒ 90°

Thus, the value of m∠A + m∠B is 90°

Learn more about the vertically opposite angles here:

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Rewrite the expression by factoring out (w+6).
2w2(w+6) +7(w+6)

Answers

Answer:

Below

Step-by-step explanation:

● 2w^2 (w+6) + 7(w+6)

● (w+6) (2w^2 + 7)

The boiling point of jet fuel is 329°F. Rounded to the nearest degree, what is the temperature in degrees Celsius? Use the formula C = 59(F – 32), where C represents degrees Celsius and F represents degrees Fahrenheit. A. 165°C B. 183°C C. 201°C D. 535°C

Answers

Answer:

17523° Celsius

Step-by-step explanation:

using the formula c=59(F-32), you have to plug the 329 into F like so-

C=59(329-32)

and then you're free to calculate! first you distribute the 59 like so...

C= (59 times 329)(59 times -32) getting C=19411-1888 which u then solve again to get 17523° Celsius

Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students
on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell's
method for collecting his data?
Rodell only polled fellow athletes, this sample does not represent nonathletes at the school.
* Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports, he should have also included a spring sport like
baseball
(it’s not B on edge, don’t answer if you don’t know thanks)

Answers

Rodell needs a larger sample size than two sports teams to represent a whole school.

Important Information : Study is conducted about favourite gaming app among students at school, 30 & 15 students of football & basketball team are polled.

Finding : Issue in Rodell's method of collecting data

The issue in this sampling : Rodell needs a larger sample size than two sports teams to represent a whole school.

Sample selected from universe should be very carefully chosen, to be a good representative of universe.

Here, Rodell has chosen only two sports' team members as sample for the study of favourite gaming app. Such kind of sample having more uneven concentration of any type of population members doesn't denote sample being a good representative of population.

To learn more Sampling, refer https://brainly.com/question/24842573?referrer=searchResults

- Marsha's Bakery packages cupcakes 24 to a box. She recently received an order from a local university for 2225 cupcakes. If she fill each box with 24 cupcakes, except for the last one, how many full boxes of cupcakes are needed and how many cupcakes will be in the last box?​

Answers

Answer:

17.

Step-by-step explanation:

Divide 2225 by 24 and round down. (92) Multiply 92 by 24 and subtract that (2208) from the total number (2225). you get 17

9x + 8y when x = 4 and and y = -5

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

-4

▹ Step-by-Step Explanation

9x + 8y = ?

Substitute the value for x in:

9(4) + 8y

Substitute the value for y in:

9(4) + 8(-5)

Multiply:

9 * 4 = 36

8 * -5 = -40

9x + 8y = 36 - 40 = -4

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

9x + 8y
=9(4) + 8(-5)
=36 + (-40)
=36 - 40
= -4

Find the area of the parallelogram with vertices:________.
P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4).

Answers

Answer:

97.98

Step-by-step explanation:

The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;

Area of the parallelogram = |PQ×PS|

PQ = Q-P and PS = S-P

Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)

PQ = (4,-5,3) - (0,0,0)

PQ = (4,-5,3)

Also, PS = S-P

PS = (8,-12,4)-(0,0,0)

PS = (8,-12,4)

Taking the cross product of both vectors i.e PQ×PS

(4,5,-3)×(8,-12,4)

PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k

PQ×PS = -16i - 40j -88k

|PQ×PS| = √(-16)²+(-40)²+(-88)²

|PQ×PS| = √256+1600+7744

|PQ×PS| = √9600

|PQ×PS| ≈ 97.98

Hence the area of the parallelogram is 97.98

Dan paid $498.09 (including sales tax) for a laptop computer. The sales tax in his state is 7%. What was the price of the laptop before the sales tax was added?

Answers

Answer:

$465.50

Step-by-step explanation:

Let the price be x, then:

x + 0.07x = 498.091.07x = 498.09x = 498.09/1.07x = 465.50

Round 9.62 to the nearest whole number

Answers

Answer:

10

Step-by-step explanation:

Anything greater than 9.49 would be rounded to 10, if it were 9.49, it would be rounded to 9. But only look at the numbers after the decimal.

i.e. ;

7.23 = 7

3.33 = 3

8.89 = 9

14.56 = 15

26.91 = 27

please help me with this question.​

Answers

Answer:

[tex] \purple{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{ {x}^{11} } \\ y = {x}^{ - 11} \\ \frac{dy}{dx} = \frac{d}{dx} {x}^{ - 11} \\ \frac{dy}{dx} = - 11{x}^{ - 11 - 1} \\ \frac{dy}{dx} = - 11{x}^{ - 12} \\ \\ \frac{d}{dx} \bigg(\frac{dy}{dx} \bigg) = \frac{d}{dx} ( - 11 {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11\frac{d}{dx} ( {x}^{ - 12} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = - 11( - 12{x}^{ - 13} ) \\ \\ \frac{d^{2} y}{dx ^{2} } = 132{x}^{ - 13} \\ \\ \huge \red{ \boxed{\frac{d^{2} y}{dx ^{2} } = \frac{132}{ {x}^{13} } }}[/tex]

on a scale of map, 5cm represent 60km. if the distance between two points on the map is 8cm, find the actual distance between these points?​

Answers

[tex]60 \div 5 = 12[/tex]

[tex]8 \times 12 = 96km[/tex]

Answer:

96 kilometers

Step-by-step explanation:

Let's set up a proportion using the following setup.

scale / actual = scale / actual

The scale is 5 cm to 60 km.

5cm / 60 km= scale/ actual

The distance on the map is 8 cm, but the actual distance is unknown. Therefore, we can say the actual distance is x km.

5 cm/ 60 km= 8 cm/ x km

5/60=8/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.

(5*x)=(8*60)

5x=8*60

5x=480

5 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 5.

5x/5=480/5

x=480/5

x=96

x= 96 km

The actual distance between the two points is 96 kilometers.

Find the limit of the function algebraically. alt='limit as x approaches zero of quantity negative seven plus x divided by x squared.'

Answers

Answer:

lim x->0 (-8+x)/x^2

just plug in x = 0

(-8+0)/0

now this fraction is a negative number divided by 0.

So, it equals -infinity.

The limit value is infact -infinity,

so the given option, "Does Not Exit" is the best choice.

Use the stem and leaf plot above to answer the following question.

Lower quartile :

Medial:

Upper quartile:

Answers

Answer:

Lower quartile - (20+32) divided by 2 = 26

Median - (43+46) divided by 2 = 44.5

Upper quartile - 51

Step-by-step explanation:

64

Find the
(i) Radius of the smaller sector.
(ii) Perimeter of the shape.
(iii) The angle ​

Answers

Answer:

Radius of the smaller sector = 12 cmPerimeter of the shape = 68 cmAngel = 47.72° (Approx)

Step-by-step explanation:

Computation:

Length of arc = Θ/360[2πr]

20 = Θ/360(2)(22/7)(24)

Θ = 47.72°

Angel = 47.72° (Approx)

Length of arc = Θ/360[2πR]

10 = [47.72 / 360][2][22/7][R]

R = 12 cm

Radius of the smaller sector = 12 cm

Perimeter of the shape = 20 + 24 + 24

Perimeter of the shape = 68 cm

simplify 2⁰+5¹+4³/7​

Answers

Answer:

10

Step-by-step explanation:

2^0 = 1

5^1  = 5

4^3 = 4 x 4 x 4

=> 16 x 4

=> 64

=> 1 + 5 + 64 / 7

=> 6 + 64 / 7

=> 70 / 7

=> 10

So, the answer is 10

Shirley wants to find the distance her unicycle moves on the sidewalk when the tire makes one complete revolution. If the diameter of her unicycle tire is 14 inches, find the distance the unicycle moves in one complete revolution. Use as an approximation for pi.

Answers

Answer:

44 in

Step-by-step explanation:

The circumference of the tire will be the same as the distance the unicycle moves in one complete revolution.

Find the circumference with the formula C = [tex]\pi[/tex]d, where d is the diameter

Plug in the values:

C = [tex]\pi[/tex](14)

C = approx. 44 in

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