Answer:
c = 13.52 units.
Step-by-step explanation:
So for this, lets use the Law of Sines, which says that:
Sin A / a = Sin B / b = Sin C / c
We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.
180 - 80 - 33 = 67 degrees
With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines
Sin A / a = Sin C / c
sin 33/8 = sin 67/c
c = 8*sin67 / sin 33
c = 13.52 units.
bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes.
now, they both intersect at 0,0, namely they both pass through it, we know the slope of the first one, so
so, we're really looking for the equation of a line whose slope is 2, and runs through (0,0).
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▹ Answer
<em>(-1, 3)</em>
▹ Step-by-Step Explanation
y - 4x = 7
2y + 4x = 2
<u>Substitute</u>
y - (2 - 2y) = 7
<u>Solve</u>
y = 3
<u>Substitute</u>
4x = 2 - 2 * 3
<u>Solve</u>
x = -1
<u>Final Answer</u>
(x, y) = (-1, 3)
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
9.9 years
Step-by-step explanation:
A = P e ^(rt)
Where A is the amount in the account
P is the amount invested
R is the interest rate
t is the time
P = 8500
r =7% = .07
A = 17000
Substituting into the equation
17000=8500 e^(.07t)
Divide each side by 8500
17000/8500=8500/8500 e^(.07t)
2 = e^(.07t)
Take the natural log of each side
ln (2) = ln e^(.07t)
ln(2) = .07t
Divide each side by .07
ln(2)/.07 = .07t/.07
ln(2)/.07 = t
9.902102579=t
Rounding to one decimal place
9.9 years
Answer:
The length of the flagpole be 41.2 ft .
Option (A) is correct .
Step-by-step explanation:
As given
The angle looking up at the sun is 70°.
A flagpole casts a shadow of 15 ft .
Now by using the trignometric identity .
BC = 15 ft
tan 70° = 2.75 (Approx)
AB = 2.75 × 15
= 41.2 ft
Therefore the length of the flagpole be 41.2 ft .
Option (A) is correct .
