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xeze [42]
3 years ago
9

The ratio of country albums to jazz albums in a music collection is 2:3. If the music collection has 45 albums,

Mathematics
1 answer:
DedPeter [7]3 years ago
4 0

Answer:

18 albums

Step-by-step explanation:

2x+3x=45

5x=45

x=9

country=2(9) = 18 album

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More math help pls. :)
Step2247 [10]

By using trigonometric relations, we will see that x = 9.97°.

<h3>How to find the missing angle?</h3>

First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus).

Where:

  • θ = 26°
  • Adjacent cathetus = k
  • Opposite cathetus  = 55ft.

Replacing that we get:

Tan(26°) = 50ft/k

Solving this for k, we get:

k = 55ft/tan(26°) = 112.8 ft

Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:

  • angle = x
  • opposite cathetus = 55ft
  • adjacent cathetus = 112.8ft + 200ft = 312.8ft.

Then we have:

Tan(x) = (55ft/312.8ft)

Using the inverse tangent function in both sides, we get:

x = Atan(55ft/312.8ft) = 9.97°

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

6 0
2 years ago
Please only answer if you know the answer!!!
ExtremeBDS [4]

Answer:

y=3x

Step-by-step explanation:

y=mx+b, m is slope, b is y-intercept

5 0
3 years ago
Read 2 more answers
Which of the following statements is TRUE about the relationship between the numerical values?
Gwar [14]

Answer:

D is the answer

Step-by-step explanation:

-15 Is the same as 15 its just negative but they have the same distance.

7 0
3 years ago
Jennifer, Luis, Robert, Anna, and Tonya are figuring out how to split the check for lunch.
kramer

8 + 15 = 23

23 - 65.45 = 42.46.

The rest of the people in the group split $42 and 46 cents.

Hope this helped!!

6 0
4 years ago
Read 2 more answers
Subject: Mathematics
lina2011 [118]

\\ \sf\longmapsto \dfrac{1}{x-1}>4

  • Multiply x-1 on both sides

\\ \sf\longmapsto \dfrac{1}{x-1}\times (x-1)> 4(x-1)

\\ \sf\longmapsto 1>4(x-1)

\\ \sf\longmapsto 1> 4x-4

  • Add 4 on both sides

\\ \sf\longmapsto 1+4> 4x

\\ \sf\longmapsto 5> 4x

  • Divide both sides by 4

\\ \sf\longmapsto \dfrac{5}{4}>x

\\ \sf\longmapsto x< \dfrac{5}{4}

Now

ATQ to the equation \bf \dfrac{1}{x-1} x should be greater than 1 .Because if it becomes 1 then the denominator will be 0 which is impossible.

Hence x>1

Thus

\\ \sf{:}\!\implies 1

Now

\\ \therefore\boxed{\bf x\epsilon \left(1,\dfrac{5}{4}\right)}

6 0
3 years ago
Read 2 more answers
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