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2 years ago

12

Under her cell phone plan, Lillian pays a flat cost of $47 per month and $3 per gigabyte. She wants to keep her bill at $57.20 p

er month. How many gigabytes of data can she use while staying within her budget?

1 answer:

LenKa [72]2 years ago

5 0

She can use 2 gigabytes

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Trigonometric Identities

bogdanovich [222]

$\bf \textit{symmetry identities}\\\\
sin(-\theta )\implies -sin(\theta )\qquad \qquad cos(-\theta )\implies cos(\theta )
\\\\\\also~recall\\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
\\\\\\
sin^2(\theta)=1-cos^2(\theta)
\\\\
-------------------------------\\\\\
[1-cos(-t)][1+cos(t)]\implies [1-cos(t)][1+cos(t)]$

$\bf 1^2-cos^2(t)\implies 1-cos^2(t)\implies sin^2(t)\\\\
-------------------------------\\\\\
%Simplify each expression. (1−cos⁡(−t))(1+cos⁡(t)) = (1+sin(t))(1+sin(-t))= csc⁡(t)tan⁡(t)+sec⁡(−t) =
[1+sin(t)][1+sin(-t)]\implies [1+sin(t)][1-sin(t)]
\\\\\\
1^2-sin^2(t)\implies 1-sin^2(t)\implies cos^2(t)\\\\
-------------------------------\\\\$

$\bf csc(t)tan(t)+sec(-t)\implies \cfrac{1}{\underline{sin(t)}}\cdot \cfrac{\underline{sin(t)}}{cos(t)}+\cfrac{1}{cos(-t)}
\\\\\\
\cfrac{1}{cos(t)}+\cfrac{1}{cos(-t)}\implies \cfrac{1}{cos(t)}+\cfrac{1}{cos(t)}\implies \cfrac{2}{cos(t)}
\\\\\\
2\cdot \cfrac{1}{cos(t)}\implies 2sec(t)$

3 0

3 years ago

Last year 40 people adopted a mantee through Fia's foundation. This year 30% more people adopted a manatee . How many people ado

Charra [1.4K]

Number of people adopted a mantee through Fia's foundation = 40

30% more are people adopted a manatee

Number of people adopted = 30% of 40 = (0.30)(40) = 12

People adopted a manatee this year = number of people + 30% of 40

People adopted a manatee this year = 40 + 12

People adopted a manatee this year = 52

3 0

3 years ago

Read 2 more answers

3) What is 4.01 X 10° written in standard form<br> A. 0.401<br> B. 4.001<br> C. 4.01<br> D. 40.1

Leya [2.2K]

The Answer is-
D
Explanation-
The Place Of the 0 In 10 Is 1, So we move 1 digit
To that side.

7 0

2 years ago

Read 2 more answers

5.Solve the system using substitution.

Nikolay [14]

OK first convert one of the equations into Y=MX+b form

Y-2x = 3
Add 2X

Y = 2x +3
Now substitute this equation in the other one.
So it would be

3X - 2Y = 5

3X-2(2x+3) = 5

Now solve for y

3X - 4X - 6 = 5

-1X - 6 = 5

Add 6

-1X = 11

X = -11

Now substitute this into one of the equations

Y - 2X = 3

Y -2(-11) = 3

Y +22 = 3

y = 3-22

y = -19

8 0

3 years ago

Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can

docker41 [41]

Answer:

1. 18.85in

4. 25.13m

Step-by-step explanation:

I got you

So to find the circumference of any circle we use the equation 2pi(r)

2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3

For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m

4 0

2 years ago