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3 years ago

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Danielle's basic cell phone rate each month is $29.95. Add to that $5.95 for voice mail and $2.95 for text messaging. This past

month Danielle spent an additional C dollars on long distance. Her total bill was $77.70. How much did Danielle spend on long distance?

1 answer:

UkoKoshka [18]3 years ago

8 0

29.95+5.95+2.95= 38.85. 77.70 - 38.85 = 38.85

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Please help me out :P

Veseljchak [2.6K]

cos θ = $\frac{-4\sqrt{65} }{65}$ , sin θ = $\frac{-7\sqrt{65} }{65}$ , cot θ = 4/7, sec θ = $\frac{-\sqrt{65} }{4}$ , cosec θ = $\frac{-\sqrt{65} }{7}$

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = $\sqrt{7^{2} + 4^{2} }$ = $\sqrt{49+16}$ = $\sqrt{65}$

sin θ = opposite/ hyp = $\frac{7}{\sqrt{65} }$

Rationalize, $\frac{7}{\sqrt{65} }$ x $\frac{\sqrt{65} }{\sqrt{65} }$ = $\frac{7\sqrt{65} }{65}$

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

cos θ = adj/hyp = $\frac{4}{\sqrt{65} }$

By rationalizing and knowing that cos θ is negative, cos θ = - $\frac{-4\sqrt{65} }{65}$

cot θ = 1/tan θ = 1/7/4 = 4/7

sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

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2 years ago

Find the ratio of triangles to circles in the diagram below

Sedaia [141]

Answer:

Ratio should be equal so ratio is 3:3

<h3 /><h3>PLEASE MARK ME BRAINLIEST.</h3>

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3 years ago

Somebody please help me on this.

LiRa [457]

No of outcomes =8
P(odd)=1/2
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6 0

2 years ago

What is the slope of the line given by the equation y= -3x

galben [10]

Answer:

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Step-by-step explanation:

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This is where "m" is the slope, and "b" is the y intercept.

So in this equation, m=-3.

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3 years ago

Chester, the dog, loves to eat treats. He has eaten twice as many today as yesterday. He has eaten a total of 15 dog treats in b

stich3 [128]

Answer:

The equations are:

$T = 2Y$ and $T + 2Y = 15$

Step-by-step explanation:

Given

Represent bones eaten Today with T and yesterday with Y

Required

Write the equation

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$T = 2Y$

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3 years ago