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Daniel [21]
3 years ago
7

A,B,C,D are 4 towns. B is 40 kilometeres due east of A. C is 30 kilometeres due north of A. D is 45 kilometeres due south of A.

Worko out the bearing B from C

Mathematics
1 answer:
Vesna [10]3 years ago
4 0

Answer:

Step-by-step explanation:

The diagram illustrating the scenario is shown in the attached photo.

We would determine angle ACB by applying the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Taking angle ACB as the reference angle,

Tan C = 40/30 = 1.33

Angle ACB = tan^-1(1.33) = 53.1°

The bearing is calculated with respect to the northern direction. Therefore, the bearing of B from C is

180 - 53.1 = 126.9°

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What is x if x+2x+(x÷2)-2=180
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the diameter of a piston for an automobile is 3 11/16in with tolerence of 1/64in. find the upper and lower limits of the pistons
padilas [110]

Upper Tolerance

Remark

The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.

Solution

<u>Upper Limit</u>

\dfrac{11}{16} +  \dfrac{1}{64}

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

\dfrac{11*4}{16*4} +  \dfrac{1}{64}

\dfrac{11*4}{16*4} +  \dfrac{1}{64} Which results in

\dfrac{44}{64} +  \dfrac{1}{64}

With a final result for the fractions of 45/64

So the upper tolerance = 3 45/64

<u>Lower Tolerance</u>

Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

\dfrac{11}{16} - \dfrac{1}{64}

Your answer should be 3 and 43/64


4 0
3 years ago
1. 37.8 x 14 = ______ x 14 - 2.9 x 14
algol [13]

Answer:

2

Step by step explanation:

Given: <u>The average mass of all the students in the class was 35.1 kg. After 1 student left the class, whose mass is 32.3kg, the average mass of the remaining students became 36.3kg, how many students were there in the class room now?</u>

Find out: <u>how many students were there in the class room after one student </u><u>left</u>

Solution: <u>Let the total number of remaining student be= n</u>

<u>Let the total number of remaining student be= nAnd the sum of mass of all the students be = x </u><u>kg</u>

So,

\frac{x}{n + 1}  = 35.1

Make x the subject of formula

--› \: x = 35.1(n + 1)

And

--› \:  \frac{x - 32.3}{n}  = 36.3

--›x - 32.3= 36.3n

--› \: 35.1(n + 1) - 32.3 = 36.3n

--› \: 35.1n + 35.1 - 32.3 = 36.3n

--› \: 2.8 = 1.2n

divide both side by n

n =  \frac{2.8}{1.2}

N = 2.333

so total number of students remaining is 2

8 0
3 years ago
I am really struggling with this question. please help.
lakkis [162]

Answer:

<h2><em>f</em><em>(</em><em>5</em><em>)</em><em>=</em><em>2</em><em>3</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em>Here</em><em>,</em><em> </em><em>n</em><em>=</em><em>5</em><em> </em><em>which</em><em> </em><em>is</em><em> </em><em>x</em><em>></em><em>0</em>

<em>f</em><em>(</em><em>x</em><em>)</em><em>=</em><em>4</em><em>x</em><em>+</em><em>3</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>4</em><em>*</em><em>5</em><em>+</em><em>3</em>

<em> </em><em> </em><em> </em><em>=</em><em>2</em><em>0</em><em>+</em><em>3</em>

<em> </em><em> </em><em> </em><em>=</em><em>2</em><em>3</em>

<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

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