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3 years ago

What is the trigonometric ratio for sin C ? Enter your answer, as a simplified fraction.

Mathematics

1 answer:

Contact [7]3 years ago

5 0

By definition we have to:
Sin (x) = C.O / h
Where,
x = angle
C.O = opposite leg
h: hypotenuse.
Substituting values we have:
Sin (C) = AB / 82
We should look for AB. For this, we use the following relationship:
AB ^ 2 + 80 ^ 2 = 82 ^ 2
Clearing AB:
AB = root ((82 ^ 2) - (80 ^ 2))
AB = 18
Substituting we have:
Sin (C) = 18/82
Simplifying:
Sin (C) = 9/41

Answer:
the trigonometric ratio for sin C is:
Sin (C) = 9/41

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sp2606 [1]

Answer:

Simplify the expression: $(16y^{\frac{5}{4}}y^3)^{\frac{1}{2}}$

Use the exponent power:

$a^n \cdot a^m = a^{n+m}$

$\sqrt[n]{a^n} =a$
$(a^n)^m = a^{nm}$

$(16y^{\frac{5}{4}}y^3)^{\frac{1}{2}}$

Apply the given rules;

$(16y^{\frac{5}{4} +3} )^{\frac{1}{2}}$

Simplify:

$(16y^{\frac{17}{4}} )^{\frac{1}{2}}$

then;

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2 years ago

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet. After 7 minutes it is at a height of 590

Jet001 [13]

Let's assume

height of plane in feet =h

time in minutes =t

we are given

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet

so, we get one point as (5,6500)

After 7 minutes it is at a height of 5900 feet

so, we get another point as (7,5900)

we can use point slope form of line

$y-y_1=m(x-x_1)$

points as

(5,6500)

x1=5, y1=6500

(7,5900)

x2=7 , y2=5900

Calculation of slope(m):

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{5900-6500}{7-5}$

$m=-300$

Equation of line:

we can use formula

$y-y_1=m(x-x_1)$

we can plug values

$h-6500=-300(t-5)$

$h=-300t+8000$

Time of landing:

we can set h=0

and then we can solve for t

$h=-300t+8000=0$

$t=\frac{80}{3}min$ ..............Answer

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3 years ago

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So,

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