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The diagram shows the position
of three towns represented by
letters A, B and C.
B is 7 km from A on a bearing of 037°
C is 8 km from B on a bearing of 140°
Find the bearing of C from A.
Give your answer correct to 1 decimal place.

Answers

Answer 1

Answer:

56.29

Step-by-step explanation:

56.29^° is the answer

The Diagram Shows The Positionof Three Towns Represented Byletters A, B And C.B Is 7 Km From A On A Bearing
Answer 2

The bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.

Distance of C from  A

The distance of town C from town A is calculated by applying Cosine rule. The distance of town C from town A is represented by small letter "b" as shown in the image.

b² = a² + c² - 2ac[cos B]

b² = (8)² + (7)² - 2(8 x 7 x cos77)

b² = 87.81

b = √87.81

b = 9.37 km

Angle A

The value of angle A is determined by applying Sine rule as shown below;

sin A/a = sin B/b

sin A = (a x sin B)/b

sin A = (8 x sin 77)/9.37

sin A = 0.832

A = sin ⁻¹ (0.832)

A = 56.3⁰

Bearing of town C from town A

The bearing of town C from town A is determined from the sum of 37⁰ and angle A.

θ = A + 37⁰

θ = 56.3⁰ + 37⁰

θ = 93.3⁰

Thus, the bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.

Learn more about bearing here: https://brainly.com/question/23427938

The Diagram Shows The Positionof Three Towns Represented Byletters A, B And C.B Is 7 Km From A On A Bearing

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Y=3/4x+1

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James recently got a credit card. The APR on the card is 19.8%. What is the monthly interest rate?
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B. 7.8%
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D. 19.8%

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The answer is A.

Step-by-step explanation:

ARP means Annual Percentage Rate. Annual means yearly and there are 12 months in a year so divide 19.8 by 12 and you get 1.65.

Find the length of a rectangle with a perimeter of 200 cm and
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Answer:

2,000

Step-by-step explanation:

take 10×200 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

List one way you can multiply polynomials by polynomials.
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b. Vertically
c. Horizontally
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Answer:

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Step-by-step explanation:

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A gas station started the weekend selling gas for $3.79 per gallon. Towards the end of the weekend, gas was $3.49 per gallon. What is the percent decrease in gas price per gallon? Round percentage to the tenths place.

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Answer: 7.9%

Step-by-step explanation:

trust me

If a = -2 and b = -4 -3i, then find the value of a b in fully simplified form.​

Answers

Answer:

I'm not so sure but I think it's 6 or 9i

6....................

find the number that makes the ratio equivalent to 6:15

Answers

Answer:

2:5

Step-by-step explanation:

6 / 3 = 2

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9. A group of 14 friends went to a basketball game and paid a total of $70 for their admission tickets. They received a discount of $2 off the original price (p) of each ticket. What is the value of p?​

Answers

the answer is $7

Step-by-step explanation:

70 divided by 14 is 5.

cost would be $5 per person before discount of $2

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can someone help me with this?

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the argument would be alternate angles theorem. hope this helped!

Which ordered pair is in the solution set of the system of inequalities
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Answers

Answer:

(-4,1)

Step-by-step explanation:

(6,1)- incorrect

(0,4) -incorrect

Try out pairs that will be inside the darker shaded color.

Hope this helps!

3. What are the factors in the expression 4(5 + x)?

Answers

Answer:

Step-by-step explanation:

The factors are the parts that are being multiplied together.

4 and (5+x) are the two that are being multiplied and also the expression you get when you factor the distributed expression.

So the factors of 4(5+x) are:

4 and (5+x)

how can you solve 25% of 44 both mentally and with pencil and paper?

Answers

Answer:

Solving it mentally :-

It says 25% × 44. When we have a percent, change it to decimal and solve which would be easy to do it mentally.

25% = 0.25

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Solving it on paper :-

I have attached a picture of me doing it on paper.

Hope this helps, thank you :) !!

8 cubed as a single power of 2

Answers

Answer:

[tex]2^{9}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ and so

8³ = (2³ )³ = [tex]2^{3(3)}[/tex] = [tex]2^{9}[/tex]

y=2x+1
y=4x-1
SHOW YOUR WORK PLEASE

Answers

Let's solve your system by substitution.

y=2x+1;y=4x−1

Step: Solve y=2x+1for y:

y=2x+1

Step: Substitute2x+1foryiny=4x−1:

y=4x−1

2x+1=4x−1

2x+1+−4x=4x−1+−4x(Add -4x to both sides)

−2x+1=−1

−2x+1+−1=−1+−1(Add -1 to both sides)

−2x=−2

−2x

−2

=

−2

−2

(Divide both sides by -2)

x=1

Step: Substitute1forxiny=2x+1:

y=2x+1

y=(2)(1)+1

y=3(Simplify both sides of the equation)

Answer:

x=1 and y=3

SOLVE THIS
I WILL GIVE BRAINLIEST

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hope it becomes helpful to you ☺️☺️

good luck

4x-5
-------- = 3
5

(5) (3) = 4x-5

15 = 4x-5

15 + 5 = 4x

20 = 4x

x = 5

What is the exact value?

Answers

Answer:

5/13 = 0.384615 (repeating)

Step-by-step explanation:

Hope that helps!

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca

$5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes

and bottles of water.

a. Choose variables for the two unknown quantities in the problem and tell wha

each variable represents.

b. Use the variables you chose in problem 3a to write an equation for the amour

of money Mr. Lincoln spends.

c. Use the variables you chose in problem 3a to write an equation for the numbe

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d. Solve the system of equations. How many packs of juice boxes and how many

packs of water does Mr. Lincoln buy? Show your work.

SOLUTION

my

Answers

Answer:

5x + 3y = 95

8x + 6y = 170

x = 10 ; y = 15

Step-by-step explanation:

Let :

x = pack of juice boxes

y = pack of water bottles

Pack of juice box = $5

Pack of water bottles = $3

Amount of money spent :

5x + 3y = $95

Number of drinks purchased :

8x + 6y = 170

Using both equations ;

5x + 3y = 95 - - - (1)

8x + 6y = 170 - - - (2)

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30x + 18y = 570

24x + 18y = 510

Subtract :

6x = 60

x = 60 / 6

x = 10

Put x = 10 in (1)

5(10) + 3y = 95

50 + 3y = 95

3y = 95 - 50

3y = 45

y = 45 / 3

y = 15

x = 10 ; y = 15

Someone plz help me I will give brainliest!!

Answers

It’s pretty easy it’s 35

Answer:

it's 35

Step-by-step explanation:

3+5 = 8

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calculate 50% of 200

Answers

Answer:

100

Step-by-step explanation:

hopes this helps

Answer:

100

Step-by-step explanation:

At a local restaurant the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 3 minutes what percentage of customers have to wait less than 28 minutes to the nearest tenth

Answers

Answer:http://avconline.avc.edu/jdisbrow/ma115/Practice%20Test%203%20with%20answers.pdf

Step-by-step explanation:

you welcome

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Answers

Answer:

D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

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PLEASE HELP!!! Find the slope of the line that passes through the points (-1,7) and (0,-3).​

Answers

Answer:

-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-7)/(0-(-1))

m=-10/(0+1)

m=-10/1

m=-10

Answer:

The slope is -10.

Step-by-step explanation:

Goal

Find the value of m/Find the slope.

Given

Two coordinate points which are (-1,7) and (0,-3).

Step 1

Use the slope formula which is rise over run also known as changes of y over changes of x.

[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]

From the given coordinate points, substitute the values in the formula.

[tex]m = \frac{7 - ( - 3)}{ - 1 - 0} \\ m = \frac{7 + 3}{ - 1} \longrightarrow \frac{10}{ -1} \\ m = - 10[/tex]

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Answer:

0-o? you got my interest in you :0

Step-by-step explanation:

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Answer:

C. [tex]x=\frac{3}{2} , y=\frac{1}{2}[/tex]

Step-by-step explanation:

Both of the equations would equal to one another since they're both solving for "y".

Steps:                                     Plug in x into one of the equation:

[tex]-x+2=3x-4[/tex]                       [tex]y=3(\frac{3}{2} )-4[/tex]                  

[tex]-3x+4[/tex]  [tex]-3x+4[/tex]                         [tex]=\frac{9}{2} -4[/tex]

------------------------                        [tex]=4.5-4[/tex]    

[tex]-4x+6=0[/tex]                               [tex]y=0.5 or \frac{1}{2}[/tex]

       [tex]-6[/tex]   [tex]-6[/tex]

------------------

[tex]\frac{-4x}{-4} =\frac{-6}{-4}[/tex]

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In ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. Find the measure of ∠R to the nearest degree

Answers

Answer: 57

Step-by-step explanation:

The value of the angle ∠r is equal to 56.63°.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that in ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. The value of angle ∠r will be calculated as,

r² = p² + q² -2pqcos(r)

(7.7)² = (8.5)² + (1.7)² - 2 x 8.5 x 1.7cos(r)

59.29 -75.14 = -28.9cos(r)

cos(r) = 15.85 / 28.9

cos(r) = 0.55

r = cos⁻¹(0.55)

r = 56.63°

To know more about trigonometry follow

https://brainly.com/question/16911370

#SPJ5

Need help due today please

Answers

Answer:

f(x) = -7(x-5)^2 +5

f(-1) = -7(-1-5)^2 +5

f(-1) = -7(-6)^2+5

f(-1) = -7(36)+5

f(-1) = -252+5

f(-1) = -247

Let me know if this helps!

Answer:

-247

Step-by-step explanation:

f(-1) = -7((-1)-5)^2

Could someone possibly help me with this question? Thanks

Answers

Answer:

[tex]12\sqrt{2}[/tex]

good luck, hope this helps :)

About how many inches does a
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turn? (Use 3.14 for it.)

Answers

62.8 inches ----------------------------------

Step-by-step explanation:

diameter = 20 inches

radius = diameter ÷ 2

radius = 20 ÷ 2

= 10 inches

circumference = 2π × radius

= 2 × 3.14 × 10

= 62.8 inches

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Find the domain and range for f(x)=pi cos(x)

Answers

Domain of f(x) = pi cos x is ALL REAL NUMBERS.

The range of f(x) = pi cos x is [-1, 1].

If it takes 2 cups of sugar for 24 cookies, how many cups of sugar will it take for 72 cookies?

Answers

i think it’s 6 cups

Answer:

6

Step-by-step explanation:

72/24=3

3*2=6

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