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2 years ago

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of

Mathematics

1 answer:

-Dominant- [34]2 years ago

6 0

Answer:

63.6 feet

Step-by-step explanation:

$sin (45)=\frac{x}{90}$
$x=90 sin (45)$
$x=45\sqrt{2}$
x = 63.6 feet

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Which equation of the line that is parallel to the line 5x + 2y =12 and passes through point -2,4

Gnesinka [82]

Answer:

The equation of the line would be y = -5/2x - 1

Step-by-step explanation:

In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.

5x + 2y = 12

2y = -5x + 12

y = -5/2x + 6

Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 4 = -5/2(x + 2)

y - 4 = -5/2x - 5

y = -5/2x - 1

3 0

3 years ago

If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are diamonds

diamong [38]

Probability=13/52*12/51*11/50*10/49=11/4165

4 0

2 years ago

Which of the following equations is equivalent to log(y)= 3.994 ?

Kisachek [45]

Answer:

The correct answer is option D: $y = 10^{3.994}$

Step-by-step explanation:

Given:

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

$y =log_b(x) => b^y =x$

For $x > 0, b >0, b \neq 1$

Also if no base b is indicated, the base of the logarithm is assumed to be 10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

$log_{10}(y)= 3.994$

Then

$y = 10^{3.994}$

4 0

2 years ago

How do u answer this I'm fratiomshow do you how do you do the San Francisco

Furkat [3]

No I do not know how to do this

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2 years ago

Which problem situation matches the equation? -2 + 5 – 6 = X

mezya [45]

The answer is -9 for sure

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2 years ago