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irakobra [83]
2 years ago
9

Calculate the bearing of Y from X. N. Z Y X 102° Not drawn accurately

Mathematics
2 answers:
adell [148]2 years ago
6 0

Answer:

078°

Step-by-step explanation:

the bearing of Y from X is the angle from the north line N through X , measured in a clockwise direction to Y, that is ∠ NXY

∠ NXY and 102° are adjacent angles on a straight line and sum to 180°

∠ NXY + 102° = 180° ( subtract 102° from both sides )

∠ NXY = 78°

the 3- figure bearing of Y from X is therefore 078°

KATRIN_1 [288]2 years ago
5 0
<h2>Answer:</h2>

78°

<h2>explanation:</h2>

from the diagram, the bearing of Y from X is the angle formed between X and line coming from Y while moving in clockwise direction

= 180°- 102°= 78°

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Write the equation of the line that passes through (2,3) and (4, 1) in point-slope form. Use (2,3) for (x1, y1).
earnstyle [38]

Answer:

y-2 = -(x-2)

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)  where (x1,y1) and (x2,y2) are two points on the line

    = (1-3)/(4-2)

   =-2/2

   =-1

The point slope form is

y-y1 = m(x-x1)  wher m is the slope and (x1,y1) is a point on the line

y-3 = -1(x-2)

y-2 = -(x-2)

5 0
3 years ago
If C= (-10, -9, -8, -7 ,-6 , -5) and D= ( -6, -5, -4, -3, -2, -1, ) , what is C n D ?
andrey2020 [161]

Answer:

C ∩ D = -5, -6

Step-by-step explanation:

Commons ones in both C and D are -5 and -6

7 0
2 years ago
Consider the following.3x + 3y = 8(a) Find y' by implicit differentiation.(b) Solve the equation explicitly for y and differenti
ludmilkaskok [199]

Answer:

a.y'=-1

b.y'=-1

c.Yes

Step-by-step explanation:

We are given that consider a function

3x+3y=8

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable

Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.

a.3x+3y=8

Differentiate w.r.t x then we get

3+3\frac{dy}{dx}=0

3\frac{dy}{dx}=-3

\frac{dy}[dx}=\frac{-3}{3}=-1

\frac{dy}{dx}=y'=-1

b.3x+3y=8

3y=8-3x

y=\frac{8-3x}{3}

Differentiate w.r.t x then we get

\frac{dy}{dx}=\frac{-3}{3}=-1

\frac{dy}{dx}=y'=-1

When we substituting the value of y obtained from part b into a solution of part a then we get

y'=-1

Hence, solutions are consistent.

8 0
2 years ago
The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c
Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem

Of the 20 copies, 2 are defective, so p = \frac{2}{20} = 0.1.

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when n = 10.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

8 0
3 years ago
Two adults and 9 students cost $50 to attend
rjkz [21]

Answer:

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

Step-by-step explanation:

x + y = 350                    (equation 1)

3x + 2y = 950                 (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

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3y – 2y = 1050 – 950

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Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

5 0
3 years ago
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