The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.
<h3>How to calculate the length?</h3>
From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.
The length will be calculated thus:
Cos 35° = 153/AC.
AC = 153/cos 35°
AC = 153/0.819
AC = 186.78 feet.
Therefore, the length is 186.78 feet.
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Start by writing the system down, I will use
to represent 

Substitute the fact that
into the first equation to get,

Simplify into a quadratic form (
),

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

which then must factor into

And the solutions will be
.
Clearly for small coefficients like ours
, this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as
and
.
So as mentioned, solutions will equal to
but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are
and
.
Hope this helps :)
Un decimal que es 1/10 de 3,0 es 0,3
Hi There!
Dori leaves her house at 12pm.
50 steps per minute until 12:20pm.
Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,
12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps
Malory leaves her house at 12:20pm.
Walks 90 steps per minute.
12:20 - 12:30 pm. = 10 minutes = 10 x 90 = 900
Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500
500 + 1000 = 1500
Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900
900 + 900 = 1800
Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500
1750 + 500 = 2250
Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900
450 + 1800 = 2250
Answer: they have the same number steps at 12:45 p.m.
Hope This Helps :)
The two-way table is attached.
We know that 63 people took the survey, and 22 of them were left-handed. This means that 63-22=41 of them are right handed.
Out of the 63 total, 37 are left brain dominant; this means that 63-37=26 are right brain dominant.
Of the 26 that are right brain dominant, 21 are right handed; this means 26-21=5 are left handed.
Of the 22 left-handed people, 5 are right brain dominant; this means 22-5 = 17 are left brain dominant.
Of the 37 left brain dominant people, 17 are left handed; this means 37-17=20 are right handed.