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3 years ago

9

Identify the conclusion of the following conditional: A number is divisible by 3 if the sum of the digits of the number is divis

ible by 3.

1 answer:

sveta [45]3 years ago

6 0

The number is divisible by 3.

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Each output value is equal to the square of the input value minus<br> five

Ivenika [448]

i think that A pair of an input value and its corresponding output value is called an ordered pair and can be written as (a, b). In an ordered pair the first number, the input a, corresponds to the horizontal axis and the second number, the output b, corresponds to the vertical axis.

We can thus write our values as ordered pairs

(0, 0) - This ordered pair is also referred to as the origin

(1, 2.5)

(2, 5)

(3, 7.5)

These ordered pairs can then be plotted into a graph.

6 0

3 years ago

There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of

Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

$AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta$ (1)

Where:

$AC$ - The distance from A to C, measured in miles.

$AB$ - The distance from A to B, measured in miles.

$BC$ - The distance from B to C, measured in miles.

$\theta$ - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

$AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta$

$\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}$

$\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right)$ (2)

If we know that $BC = 7\,mi$ , $AB = 8\,mi$ , $AC = 5\,mi$ , then the bearing from island B to island C:

$\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]$

$\theta \approx 38.213^{\circ}$

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0

3 years ago

In how many ways can a teacher arrange 5 students in the front row of a classroom with a total of 20 students?

aksik [14]

Slot method
5 slots

1st slot: 20
2nd slot: 19 (1 went to first slot)
3rd slot: 18
4th slot: 17
5th slot: 16

20*19*18*17*16=186,040 ways

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3 years ago

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Shade 0.25 of the design,. Write a fraction in simplest form to represent the shaded part of the design

wlad13 [49]

There are 16 smaller triangles within the main large one. .25=1/4, so your fraction is 1/4. 1/4 of 16 is 4, because 4+4+4+4=16. So colour in 4 triangles. Hope this helps!

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3 years ago

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Reagan jars 6 liters of jam every day. How much jam did Reagan jar if she spent 3 days making jam?

Andrei [34K]

She spent 18 liters of jam!

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3 years ago