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omeli [17]
3 years ago
10

Phillip and Ryan are saving money for college. Phillip started with $500 in his savings account and saves $25 a week. Ryan start

ed with $250 in his savings account and saves $25 a week. If they continue at the same rate, will Phillip and Ryan ever have the same amount of money in their savings accounts?
Mathematics
2 answers:
hoa [83]3 years ago
6 0
No they will never have the same amount of money in their bank accounts because Phillip started with $250 more then Ryan and if they both put $25 in every week then Phillip's money will always be $250 more then Ryan's
Amanda [17]3 years ago
5 0
I don't think so because Phillip has more to begin with and they are saving the same amount at the same rate. So unless Philip stops saving then Ryan will not catch up.

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Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric
mariarad [96]

Answer:

\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan  \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a  branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of  θ  then r=\sqrt{x^2+y^2}

r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17 units

\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan  \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan  \theta}=\frac{-8}{15}

6 0
3 years ago
Carlita saw 5 times as many robins as cardinals while bird watching. She saw a total of 25 birds. How many more robins did she t
andrew-mc [135]
Carlita was either sipping the hot chocolate while she was out, or else
approximating the numbers.  The exact number she reported is not
possible.  To see why, I'll do it strictly by the math:

Robins  =  5 times
Cardinals  =  1 time

Total birds  =  6 times 

6 times  =  25 birds

Divide each side by 6 :   1 time  =  25/6  =  4-1/6 birds

Robins =  5 times  =  20-5/6 of them
Cardinals  =  1 time  =  4-1/6 of them

Total:  (20-5/6) + (4-1/6)  =  25 birds.

How many more robins than cardinals  = (20-5/6) - (4-1/6) = 16-2/3 more. 

The math works out fine.  But if the numbers she reported are true,
then some of what she saw was partial birds ... legs, or feathers,
things like that.  Eeeew.   I don't want to talk about it.
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3 years ago
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Answer:

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