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WITCHER [35]
3 years ago
10

Solve for n nn. 8 3 = 12 n 3 8 ​ = n 12 ​ start fraction, 8, divided by, 3, end fraction, equals, start fraction, 12, divided by

, n, end fraction n = n=n, equals
Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

n=4.5

Step-by-step explanation:

The given equation is

\dfrac{8}{3}=\dfrac{12}{n}

We need to find he value of n.

On cross multiplication we get

8\times n=12\imes 3

8n=36

Divide both sides by 8.

\dfrac{8n}{8}=\dfrac{36}{8}

n=4.5

Therefore, the value of n is 4.5.

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Please solve the following sum or difference identity.
xxTIMURxx [149]

Answer:

sin(A - B) = \frac{4}{5}

Step-by-step explanation:

Given:

sin(A) = \frac{24}{25}

sin(B) = -\frac{4}{5}

Need:

sin(A - B)

First, let's look at the identities:

sum: sin(A + B) = sinAcosB + cosAsinB

difference: sin(A - B) = sinAcosB - cosAsinB

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = \frac{24}{25}

cos(A) = \frac{7}{25}

sin(B) = -\frac{4}{5}

cos(B) = \frac{3}{5}

Plug these values into the difference identity formula.

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})

Multiply.

sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})

Add.

sin(A - B) = \frac{4}{5}

This is your answer.

Hope this helps!

6 0
3 years ago
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How much water does Andrew save (PLS HURRY 100 POINTS)
BlackZzzverrR [31]

Answer:

standard showerhead in Andrew's house dispenses 8 gallons of water per minute. Andrew changed this shower head to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new shower head.

y = 3x

6 0
2 years ago
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What do you think the answer is
amid [387]
23/69 is about fashion
4 0
2 years ago
A map has a scale of 1 in. : 38 ft use the given map distance to find the actual distance
Dvinal [7]

Answer:

for q 19 its x=209ft and for 21 its 66.5 ft i forgot q 20

Step-by-step explanation:

8 0
2 years ago
Gustavo and yuki were asked to find an explicit formula for the sequence 19, 0, -19, -38...
KiRa [710]

Answer:

<h2>Neither Gustavo nor Yuki</h2>

Step-by-step explanation:

It's an arithmetic sequence.

0-19=-19\\-19-0=-19\\-38-(-19)=-38+19=-19

The difference is constant.

The explicit formula of an arithmetic sequence:

a_n=a_1+(n-1)d

Substitute:

a_1=19,\ d=-19

a_n=19+(n-1)(-19)             <em>use distributive property</em>

a_n=19-19n+19\\\\a_n=(19+19)-19n\\\\a_n=38-19n

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2 years ago
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