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Kruka [31]
2 years ago
7

On a Saturday, a library checked out 52 books. Of the 52 books checked out, 24 of the books were fiction. What type of ratio doe

s the statement describes?
Mathematics
1 answer:
Ket [755]2 years ago
4 0

Answer: 24/28

Step-by-step explanation:

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HELP ME PLSSS ITS DUE TODAY
Gnom [1K]

Answer:

<u>S': (2, 1)</u>

<u>T': (5, 3)</u>

<u>U': (1, -4)</u>

<u>S'': (1, 3)</u>

<u>T'': (4, 5)</u>

<u>U'': (0, -2)</u>

Step-by-step explanation:

Hi!

For Reflection Across the X-Axis use this :

(x, y) -> (x, - y)

So :

S': (2, 1)

T': (5, 3)

U': (1, -4)

and then the question also asks for a translation so we follow what it gave us:

S'': (1, 3)

T'': (4, 5)

U'': (0, -2)

Please ask me any questions that you still may have!

and Have a great day! :)

5 0
1 year ago
Read 2 more answers
Find , , and if and terminates in quadrant .
ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

,

• cos2x

,

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})=\frac{12}{13}

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\  \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

\tan 2x=\frac{2\tan x}{1-\tan ^2x}=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}=\frac{\frac{4}{3}}{1-\frac{4}{9}}=\frac{\frac{4}{3}}{\frac{9-4}{9}}=\frac{\frac{4}{3}}{\frac{5}{9}}=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}

OR

\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0
1 year ago
Yosef purchased a new sweater. The total price of the sweater, including the 8% sales tax, was $16.74. What was the retail cost
Yanka [14]

Answer:

15.40, lol yeet, this one's EZ

3 0
3 years ago
What is the simplified form of (1/x)-(2/x^2+x)
julsineya [31]
The answer would be C)3-x/x(x-1)
8 0
3 years ago
Read 2 more answers
If jim gets 100 dollars per month and martha gets 150 how much more would they get in 15 years??
Allushta [10]

Answer:

Jim would get 1500, Martha gets 2250

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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