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2 years ago

If the bearing of p from q is 120° , what is the bearing of q from p

Mathematics

2 answers:

ollegr [7]2 years ago

6 0

Answer:

300°

Step-by-step explanation:

The reverse bearing is different by 180°. It will be ...

Q from P = (120° +180°) = 300°

_____

Additional comment

Bearings are always in the range 0 to 360° (not including 360°). That means the reverse bearing will be the original less 180° when the original is 180° or more. It will be the original plus 180° when the original is less than 180° (as here).

Ad libitum [116K]2 years ago

4 0

Answer:

300°

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin

Ratling [72]

Answer:

The standard deviation of weight for this species of cockroaches is 4.62.

Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

To find : What is the approximate standard deviation of weight for this species of cockroaches?

Solution :

We have given,

Mean $\mu=50$

The sample mean x=55

A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

i.e. P(X>55)=14%=0.14

The total probability needs to sum up to 1,

$P(X\leq 55)=1-P(X>55)$

$P(X\leq 55)=1-0.14$

$P(X\leq 55)=0.86$

The z-score value of 0.86 using z-score table is z=1.08.

Applying z-score formula,

$z=\frac{x-\mu}{\sigma}$

Where, $\sigma$ is standard deviation

Substitute the values,

$z=\frac{x-\mu}{\sigma}$

$1.08=\frac{55-50}{\sigma}$

$1.08=\frac{5}{\sigma}$

$\sigma=\frac{5}{1.08}$

$\sigma=4.62$

The standard deviation of weight for this species of cockroaches is 4.62.

4 0

3 years ago

Solve the right triangle.

Tom [10]

Solve using trigonometry
tan(39)=24/b
b=24/tan(39)
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2 years ago

2.1 & 2.2 Assessment: Vertex & Standard Form of Quadratic Functions

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6 0

1 year ago

Triangle A is reflected in the x-axis to give B.

nikitadnepr [17]

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y). If a point B(x, y) is reflected over the y axis, the new point is at A'(-x, y).

Triangle A has vertex at (-4, -2), (-4, -5) and (-2, -5). If triangle A is reflected in the x axis to give triangle B, the vertex of triangle B is (-4, 2), (-4, 5) and (-2, 5).

If triangle B is reflected in the y axis to give triangle C, the vertex of triangle C is at (4, 2), (4, 5) and (2, 5). Hence the transformation is:

(x, y) ⇒ (-x, -y)

8 0

3 years ago

If the bearing of p from q is 120° , what is the bearing of q from p​

If the bearing of p from q is 120° , what is the bearing of q from p