A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B

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A, B, C And D Are Four Towns. B Is 30 Kilometres Due East Of A. C Is Due 30 Kilometres North Of A. D

Answers

Answer 1

Answer:

213.7°

Step-by-step explanation:

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

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Part A: 135

Part B: 213.7  

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[RevyBreeze]

Answer 2

MATE!

213.7°

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

Part A: 135

Part B: 213.7  


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Increase 1000 in the ratio 2:5

Answers

Answer:

1400

Step-by-step explanation:

2/5×1000=400

1000+400=1400

Step-by-step explanation:

Let the new quantity be x.

x:1000=2:5

x/1000=2/5

(multiply both side by 1000)

[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]

[tex]x = 400[/tex]

If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of RS and ST

Answers

Answer:

a. RS= 3x + 1 =64

group like teams

3x =64 - 1

3x=63

divide both sides by 3

Ans: RS= 21

b. ST= 2x - 2 =64

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∆ RS= 21 and ST=31

A shipping box is shaped like a rectangular prism. The box is 1 1/5 feet wide, 3 feet long, and 4 1/2 feet tall. What is the volume of the shipping box

Answers

Answer:

4.95

Step-by-step explanation:

The volume of the rectangular prism is 16.2 ft³.

What is volume?

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

[tex]V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3[/tex]

[tex]V = \frac{6}{5} \times \frac{9}{2} \times 3[/tex]

V = 162/10

V = 16.2

Hence, the volume of the rectangular prism is 16.2 ft³.

Learn more about volumes, click;

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3x- 25 = 11x -5 + 2x



Please show working.

Answers

[tex]3x-25 =11x -5 +2x \\\\\implies 3x -25 = 13x-5\\\\\implies 13x -3x = 5-25\\\\\implies 10x = -20\\\\\implies x = -2[/tex]

Answer: x=-2.

Step by step:

3x-25=11x-5+2x

Combine like terms!

3x-25=(11x+2x)+(-5)

3x-25=13x+(-5)

3x-25=13x-5

Subtract 13x on both sides!

-10x-25=-5.


Add 25 to both sides.

-10x=20.

Divide both sides by -10.

x=-2.

Hope this helps!! :)

Represent the following expressions as a power of the number a where a≠0 a^2*(a^4)^3÷a^13
100 POINTS NOW

Answers

Answer:

a

Step-by-step explanation:

[tex]a^2*(a^4)^3:a^{13}=[/tex][tex]a^2*(a^4)^3:a^{13}=\\a^{2 + 4*3-13}=[/tex][tex]a^{14-13}=[/tex][tex]a[/tex]

Answer:

the answer is just a

Step-by-step explanation:

What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).

Answers

Good job just needs a little more work

Answer: C

Step-by-step explanation:

A right triangle is formed using point C and H as two of the vertices. Which point best represents the coordinates for point X, the third vertex of a triangle?

Answers

Answer:

um probably something like CX and HX

Step-by-step explanation:

no graph

а Ava and her children went into a movie theater and she bought $48 worth of drinks and candies. Each drink costs $4 and each candy costs $3. She bought 2 more candies than drinks. Graphically solve a system of equations in order to determine the number of drinks, x, and the number of candies, y, that Ava bought.​

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Answer:

x = 6

y = 8

Explanation and graph is given in picture

I hope it helps.

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Answers

Answer:

5=2x-9

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x=7

Hope This Helps!!!

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Answer:

Your answer is [tex]2c^{2}[/tex]

2c^2

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3-1=2 for the c’s

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If 6 numbers have a mean of 5, and five of the numbers are 3, 2, 1, 7, and 6, what is the sixth number?​

Answers

Answer:

see below

Step-by-step explanation:

the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11

A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.

Answers

Answer:

Step-by-step explanation:

a)

p

(

red marbles

)

=

6

6

+

8

p

(

red marble

)

=

3

7

b)

p

(

o

d

d

n

u

m

b

e

r

s

)

=

3

+

4

6

+

8

p

(

o

d

d

n

u

m

b

e

r

s

)

=

1

2

c)

p

(

red marbles or odd numbers

)

=

p

(

red marbles

)

+

p

(

odd numbers

)

p

(

red marbles and odd numbers

)

p

(

red marbles or odd numbers

)

=

6

14

+

7

14

3

14

p

(

red marbles or odd numbers

)

=

10

14

d)

p

(

Blue marbles or even number

)

=

p

(

Blue marbles

)

+

p

(

even numbers

)

p

(

blue marbles and even numbers

)

p

(

Blue marbles

)

=

8

14

p

(

even numbers

)

=

7

14

p

(

Blue marbles or even number

)

=

8

14

+

7

14

4

14

p

(

Blue marbles or even number

)

=

11

14

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What is Probability in Math? - Definition & Overview

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Chapter 24 / Lesson 7

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The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.

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What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?

Answers

y = -2/3x is the answer

What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?

y=-2/3x

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Answers

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Step-by-step explanation:

The opposite of 42 is negative 42.

The opposite number of 42 is -42

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ASAP

Answers

The answer to this equation will be 359

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Step-by-step explanation:

4(t²-5t) + 3u³   plug in the t and u

= 4[4²-5(4)] + 3(5)³

= 359

i'll mark brainiest if right answer

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Answers

Answer:

reserved tickets = 6 and general admissions tickets = 15

Step-by-step explanation:

[tex]25r + 10g = 150[/tex]

Use two variables to make the equation r for reserved tickets and g for general admission. Reserved cost 25 so put that with r and general cost 10 so out that with g. Since he has 150 to spend the equation will equal 150.

Set r equal to 0 since he isn't buying reserved tickets and only general. Solve for g

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divide both sides by 10

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Answers

Answer:

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Step-by-step explanation:

need helps i will give brainliest

Answers

Answer:

2401

Step-by-step explanation:

two thousand four hundred and one

Step-by-step explanation:

First let's put your equation

[tex]7 {}^{4} [/tex]

This also be phrased as

[tex]7 \times 7 \times 7 \times 7[/tex]

Now let's start solving

[tex]49 \times 7 \times 7 [/tex]

Multiply again and we get

[tex]343 \times 7[/tex]

and finally when we multiply again

[tex]2401[/tex]

Have a good day :) !

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Answers

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Answers

The answer is 3/2
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Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

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Answers

Answer:

c 15.9 m

Step-by-step explanation:

you are welcome

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

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Answer:

d>-7

Step-by-step explanation:

first answer
d = greater than or equal to 7

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Answers

Answer:

x = 90

Step-by-step explanation:

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[tex]\frac{BC}{NE}[/tex] = [tex]\frac{AB}{TN}[/tex] , substitute values

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it takes clay 1/2 hour to mow his lawn how much of the yard will be mowed after 1/3 hour

Answers

Answer:

Step-by-step explanation:

Clays rate is 1/2 hour per lawn.  We can write this as Rate = 3/2 hr/lawn.

If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:

(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.

How do I simplify 12+2c+6d-8c+d

Answers

Hello there! :)

12+2c+6d-8c+d

Combine like terms:

2c-8c+d+6d+12

-6c+7d+12

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature :)[/tex]

The simplified equation will be 12+7d-6c. By adding the same terms the equation can be simplified.

What is simplification?

Simplification is to make something easier to do or understand and to make something less complicated.

The given equation is;

12+2c+6d-8c+d

By adding the same terms the equation can be simplified;

[tex]\rm 12+2c+6d-8c+d \\\\ 12+7d-6c[/tex]

Hence the simplified equation will be 12+7d-6c.

To learn more about the simplification refer to the link;

https://brainly.com/question/23509407

okay, i’ve been given a new question KCNDJXNZNS

Answers

Answer: 40

Step-by-step explanation:

The angles in a triangle are equal to 180

We can use this equation to find x

180 = 20 + 3x + x

Then we solve

160 = 4x

x = 40

Answer:

180 = 20 + 3x + x

X = 40

Step-by-step explanation:

180 = 20 + 3x + x

Combine like terms

180 = 20 + 4x

Subtract 20 on both sides

160 = 4x

Divide both sides by 4

40 = x

2 The salary of 157 employees in an office for a month is 710, 582, what is the annual salary of 1 employee, assuming all are paid equally​

Answers

Answer: $4526

Step-by-step explanation:

Ratio of employees to cash

157:710528

Divide both sides by 157 to find how much 1 employees is paid

1: 4526

Answer:

710 582 - salary of all employees in a month

157 - number of employees

The monthly salary of each employee is 4526.

The 4526 is obtained by dividing the salary of all employees to their number which is 157.

The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"

To get it, just multiply 4526 into 12 (annually). So the answer is 54312

PLEASE HELP What appears to be the range of the part of the exponential function graphed?
A- x ≤ 1
B- h(x) ≤ 1
C- x ≤ 5
D - h(x) ≤ 5

Answers

Answer:

A) Variable "x" is less than it equal to 1 because your domain can’t have [h(x)] because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the variable "x" coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain

Hope this helps!

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