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Jlenok [28]
3 years ago
15

Help me with this please!

Mathematics
1 answer:
jasenka [17]3 years ago
4 0

Answer:

witch one

Step-by-step explanation:

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A, B, C and D are four towns.
djverab [1.8K]

Three of the four towns are on the vertices of the triangle ΔCBD, through

which the bearing can calculated.

<h3>Response:</h3>
  • The bearing of D from B is approximately <u>209.05°</u>

<h3>Method by which the bearing is found;</h3>

From the given information, we have;

AC = AB = 25 km

∠BAC = 90° (definition of angle between north and east)

ΔABC = An isosceles right triangle (definition)

∠ACD = ∠ABC = 45° (base angles of an isosceles right triangle)

tan(\angle ABD) = \dfrac{45}{25}

  • \angle ABD = arctan \left(\dfrac{45}{25} \right)  \approx 60.945^{\circ}

The bearing of <em>D</em> from <em>B</em> is the angle measured from the north of <em>B</em> to the

direction of <em>D.</em>

<em />

Therefore;

  • The bearing of D from B ≈ 90° + (180° - 60.945°) = <u>209.05°</u>

Learn more about bearings in mathematics here:

brainly.com/question/10710413

5 0
2 years ago
In the figure below, what is the value of x
kykrilka [37]

Answer:

<em>x = 49°</em>

Step-by-step explanation:

<u>Angles in a Triangle</u>

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°

3 0
2 years ago
What is the solution to x- 9&gt; -15?
Elanso [62]

Answer:

x < -6

Step-by-step explanation:

quick explanation: when you transfer (-9) to the other side it becomes +9.

Therefore, -15+9= -6

4 0
3 years ago
Simplify using exponent rules.<br><br> (3x^4) (-6x)<br><br><br> (SHOW YOUR WORK)
ehidna [41]

Answer:

Step-by-step explanation:

3x^4(−6x)

=3*x^4*(−6)*x

=−18*x^5

=−18x^5

Hope this helps if I doesn’t helps I will b happy to help u again

4 0
3 years ago
If you earn $48,000 per year, how much will you receive on a biweekly basis?
Harrizon [31]

$48,000 a year is $1,846.15 biweekly before taxes and approximately $1,384.62 after taxes. Paying a tax rate of around 25% and working full-time at 40 hours a week, you would earn $1,384.62 after taxes. To calculate how much you make biweekly before taxes, you would multiply $23.08 by 40 hours and 2 weeks

5 0
2 years ago
Read 2 more answers
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