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Damm [24]
2 years ago
8

The bearing of point Y from point X is 070°.

Mathematics
1 answer:
Shkiper50 [21]2 years ago
6 0

The bearing of point X <u>from</u> point Z is 285°

<h3>Calculating bearings </h3>

From the question, we are to determine the bearing of point X from point Z.

Consider the diagram attached

The bearing of point X <u>from</u> point Z is the measure of the angle from the North of Z in the <u>clockwise direction</u> to the line that goes to X.

That is,

The bearing of point X from point Z = 270° + 15°

The bearing of point X from point Z = 285°

Hence, the bearing of point X from point Z is 285°

Learn more on Calculating bearings here: brainly.com/question/22719608

#SPJ1

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A teacher is buying pencils for her classroom. If a dozen pencils cost $0.97, how many pencils can she purchase with $5?
mixas84 [53]

Answer:

The teacher can purchase 61 pencils with $5

Step-by-step explanation:

This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas

It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083

With $5 she will be able to purchase 5/0.08083=61.85 pencils

We must round to the nearest lower integer

The teacher can purchase 61 pencils with $5

6 0
3 years ago
Evaluate the indefinite integral. (Use C for the constant of integration.) sin(10x) 1 cos2(10x) dx
Schach [20]

Answer:

The result of the integral is -\frac{\cos^3{10x}}{30} + C

Step-by-step explanation:

We are given the following integral:

\int \sin{(10x)}\cos^{2}{(10x)} dx

I am going to solve by substitution, using u = \cos{10x}, so du = -10\sin{10x}dx, dx = -\frac{du}{10\sin{10x}}. So, we have

-\frac{1}{10} \int u^2 du

Which has the following result:

-\frac{u^3}{30} + C

Going back to x, the result of the integral is

-\frac{\cos^3{10x}}{30} + C

5 0
3 years ago
The height of a roller coaster's lift hill is 4 feet more than 3 times the height of its next tallest hill.
jeka94

Answer:

Next highest hill is 118 feet tal

Step-by-step explanation:

Lift hill = L

Next tallest = N

L = 3N + 4

L = 358

358 = 3N + 4

-4              -4

354 = 3N

/3        /3

118 = N

5 0
3 years ago
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