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3 years ago

12

Andrew bought a bottle of water for $1.75, two books for $10.50 each, and a slice of pizza for $3.75. At the end of the day, he

had $51.50 left. How much did Andrew start the day with?

1 answer:

Talja [164]3 years ago

7 0

Answer:

He had 78$ at the end of the day

Step-by-step explanation:

Adding up all the expenses he made then adding them to 51.50,

51.50 + 10.50 + 10.50 + 1.75 + 3.75

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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.

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3 years ago

15 + r as a verbal expression

kodGreya [7K]

Hey there!

<h2>ANSWER: $r+15$ </h2><h2>EXPLANATION:</h2><h2> $15+r$ </h2>

Simplify by flipping.

$r+15$

Hope this helps!

- TestedHyperr

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umka21 [38]

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Furkat [3]

Graphs of y = x+- 1 and of y = x - 1 are shown in the figure below.
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Answer:
There is no solution.

Explanation:
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Note that the equation for a straight line is of the form
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y = x - 1 has slope of m=1.
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