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3 years ago

13

Tom wants to reach a second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70° angle to th

e ground, how long must the ladder be?

1 answer:

vovangra [49]3 years ago

5 0

Let the ladder length be L, then

sin 70 = 20/L, L = 20/sin70 = 21.3 feet
the length of ladder is 21.3 feet

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What is the expression to find the distance between the points A and T

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Answer:

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Step-by-step explanation:

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3 years ago

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Read 2 more answers

Which of the following combined with the equation −9x + 3y = 12 creates a system of linear equations with no solution?

PolarNik [594]

ANSWER

The correct answer is option A

EXPLANATION

A line that will create a system of equation with no solution when combined with
$- 9x + 3y = 12$
,is the line that has the same slope as
$- 9x + 3y = 12$
but different y-intercept.

So, let us write the given equation in slope intercept form to obtain,

$3y = 9x + 12$

$\Rightarrow \: y = 3x + 4$

The slope is
$3$
and y-intercept is
$4.$

Now let us determine the slope and intercept for the given options too.

For option A,

$18x - 6y = 20$

$\Rightarrow \: - 6y = - 18x + 20$

$\Rightarrow \: y = 3x - \frac{10}{3}$

This has the same slope as the given equation but different y-intercept. When combined with the given equation, there will be no solution, since the two lines will never intersect. so it is the correct option.

For option B,

$3x - y = - 4$

$\Rightarrow \: -y = - 3x - 4$

$\Rightarrow \: y = 3x + 4$

This option has the same slope and y-intercept as the given line so when combined with this equation, there will be infinitely many solution.

As for option C and D they do not have the same slope as the given line so there will be a unique solution when each is combined with the given line.

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3 years ago