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konstantin123 [22]
3 years ago
5

What is 9 3/12 + 6 2/3

Mathematics
2 answers:
Degger [83]3 years ago
4 0
The answer is 191/12
Mixed number form: 15 11/12
BartSMP [9]3 years ago
3 0

Answer:

191/12

Step-by-step explanation:

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Find the area of the shaded region.<br>pls do this with explanation.<br>​
vladimir1956 [14]

Answer:

first find the area of the big rectangle = 12×14=168

area of the small unshaded rectangle =2×5×6=60

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The angle of depression from the top of a cruise ship to the top of a sailboat is 22. Sitting above water, the cruise ship is 23
dusya [7]

Answer:

The distance between the cruise ship and the sail boat is 517 feet.

Step-by-step explanation:

The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is

236 feet - 27 feet = 209 feet.

We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.

Now from trigonometry we get:

tan \: \theta = \dfrac{209}{d}

d= \dfrac{209}{tan\:\theta }

\boxed{d=517ft}

The distance between the cruise ship and the sailboat is 517 feet.

3 0
3 years ago
Given that (8,-1) is on the graph of f(x), find
Nikolay [14]

Answer:

(-12, -1)

Step-by-step explanation:

(8, -1) => (-2/3x, f(-2/3x))

therefore

-2/3x = 8

x = 8 *-3/2

x = -12

f(-2/3x) = -1

therefore, the corresponding point is:

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5 0
2 years ago
A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the nearest tenths place?
jenyasd209 [6]

Answer:

4022.9

Step-by-step explanation:

Volume of a cylinder is given by cross sectional area multiplied by height hence

V=Ah

Since the cross sectional area of

A=\pi r^{2}

Substituting the formula for A into formula for volume then

V=Ah=\pi r^{2}h

Substituting 8ft for r and 20 ft for h then

V=Ah=\pi 8^{2}\times 20=4022.8571428571\ ft^{3}\approx 4022.9\ ft^{3}

Rounded off to the nearest tenths, the volume is equivalent to

4022.9

5 0
4 years ago
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