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3 years ago

11

The larger of two numbers is 11 more than twice the smaller. The sum of the is 1 less than seven times the smaller. Find the num

bers.

1 answer:

algol [13]3 years ago

3 0

I think L=17 and S=3

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An art teacher has a roll of mural paper that is 5 meters long.

Ivenika [448]

<h3>Answer: 50</h3>

"deci" means tenth, so "decimeter" means "tenth of a meter"

0.10 meter = 1 decimeter

1 meter = 10 decimeters (multiply both sides by 10)

5 meters = 50 decimeters (multiply both sides by 5)

The teacher can get 50 pieces out of the roll of paper

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

Please answer this question now

Sloan [31]

Answer:

<h2> 39°</h2>

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent:

m∠XWY = 90°

So:

90° + 58° + x - 7° = 180°

141° + x = 180°

x = 39°

4 0

3 years ago

Which combination of shapes can be used to create the 3-D figure?

Leto [7]

Answer: Two regular octagons and eight congruent rectangles

Step-by-step explanation:

An octagon has 8 sides and the shapes on the bottom of the shape are 8 rectangles.

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3 years ago

Read 2 more answers

What is the variable in the expression: 25 + 5z - 3?

Alekssandra [29.7K]

Answer:

The variable is z

Step-by-step explanation:

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3 years ago