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3 years ago

What is the volume of the composite figure below?

Mathematics

2 answers:

horsena [70]3 years ago

6 0

You would multiply or cross multiply

Inga [223]3 years ago

3 0

First we can find the volume of the smaller rectangle with l•w•h. So we'd multiply 12•9•6. That equals 648. Now, the bigger rectangle is the same formula with multiplying length, width, and height. So, 6•27•12, that is equal to 1,994. We add both volumes from each rectangle and that is the final product of the composite figure 1994+648. V=2,592

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5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the directio

kicyunya [14]

Answer:

Direction of the boat is 43.05° and the speed is 21.66 knot

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85° below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy = -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = $\sqrt{Vx^{2} + Vy^{2} }$

==> $\sqrt{15.83^{2} + 14.79^{2} }$ = 21.66 knot

direction of boat = $tan^{-1} \frac{Vy}{Vx}$

==> $tan^{-1} \frac{14.79}{15.83}$ = 43.05°

3 0

3 years ago

Line m has the equation y = 1/2x - 4

Mandarinka [93]

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is

$y=mx+b$

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

$x-2y=4$

solving for y to writing the equation in the slope-intercept form and determining the slope

$x-2y=4$

Add -x to both sides.

$x - 2y + (-x) = 4+(-x)$

$-2y = 4 - x$

Divide both sides by -2

$\frac{-2y}{-2}=\frac{-x+4}{-2}$

$y=\frac{1}{2}x-2$

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

3 0

2 years ago

The table shows the distances and times that four rowboats traveled. Which rowboat was the fastest?

g100num [7]

Answer: the answer is C

Step-by-step explanation:

8 0

3 years ago

Pls help i need help with this question

Lapatulllka [165]

Answer:

slope = 1

Step-by-step explanation:

$\frac{y_{2} -y_{1} }{x_{2}- x_{1} }$

(2,4) (0,2)

$\frac{2-4}{0-2} = \frac{-2}{-2} = 1$

3 0

2 years ago

Read 2 more answers

If a triangle has a 50° angle, what is the sum of the other two angles?

12345 [234]

Answer:

130

All of the angles on a triangle add up to 180 degrees.

8 0

3 years ago