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4 years ago

Graph the function. y=1+0.5x

Mathematics

1 answer:

Contact [7]4 years ago

5 0

Good evening ,

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To graph such function we need only 2 points that their coordinates verify the equation y=1+0.5x then we link them with a line.

Look at the photo below for the graph.

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A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an

mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin C=\frac{AB}{AC}$

Putting values,

$\sin 30^\circ} =\frac{10}{AC}$

We know, $\sin 30^\circ}=\frac{1}{2}$

$\frac{1}{2} =\frac{10}{AC}$

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, <u>option (1)</u> is correct.

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3 years ago

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Answer:

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3 years ago

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FlybynightSavings.com is offering a savings account that pays 33% compounded continuously. How much interest would a deposit of

pychu [463]

The exact calculations:
Principal, P=3000
interest rate = 33% per year
Period, t=10 years

Future value
$F=Pe^(it)$
$=3000e^(0.33*10)$
$=81337.92$

Interest
= future value - principal
= 81337.92-3000
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4 years ago

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IrinaVladis [17]

One movie-related statistical question would be the length of people's favorite movies (in minutes). This would contain variability since people would have different favorite movies, which would have different lengths.
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3 years ago

Given f(x)=10(3−x)+6, what is the value of f(−1)?

Ber [7]

Answer: 46

Step-by-step explanation:

10 (3 +1) + 6

30 + 10 + 6

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3 years ago