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olga nikolaevna [1]
3 years ago
8

Solve for theta

olve \: for \: \alpha ." alt="solve \: for \: \alpha ." align="absmiddle" class="latex-formula">
, if Cos30 = 0.45​
Mathematics
1 answer:
nordsb [41]3 years ago
6 0
I don’t know i’m sorry
You might be interested in
EXPAND:
Sladkaya [172]

Answer:

\displaystyle  A) 5\log( {x}^{}   )  +   2 \log( {y}^{} )

Step-by-step explanation:

we would like to expand the following logarithmic expression:

\displaystyle   \log( {x}^{5}  {y}^{2} )

remember the multiplication logarithmic indentity given by:

\displaystyle \rm  \log( \alpha  \times  \beta ) \iff  \log( \alpha ) +  \log( \beta )

so our given expression should be

\displaystyle   \log( {x}^{5}   )  +    \log( {y}^{2} )

by exponent logarithmic property we acquire:

\displaystyle   5\log( {x}^{}   )  +   2 \log( {y}^{} )

hence, our answer is A

5 0
3 years ago
F(1) = 1<br><br> f(2) = 2<br><br> f(n) = f(n − 2) + f(n − 1)<br><br> f(3)
sweet [91]

Answer:

f(3) = 3

Step-by-step explanation:

f(1) = 1

   

f(2) = 2

f(n) = f(n − 2) + f(n − 1)

f(3) = f(3 - 2) + f(3 - 1)

     = f(1) + f(2) = 1 + 2 = 3

Special Note:  Have you heard of the Fibonacci sequence?  

The formula f(n) = f(n − 2) + f(n − 1) is used to find the terms of the of the  Fibonacci sequence

8 0
3 years ago
Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e
bekas [8.4K]

Answer:

The water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be \frac{9}{4} x.

And let the water be \frac{3}{4} x.

According to question:

\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}.

<em>On adding the fractions:</em>

⇒\frac{9x+3x}{4} =\frac{63}{4}

⇒\frac{12x}{4} =\frac{63}{4}

<em>Multiplying both sides by 4 we get:</em>

⇒12x=63

<em>Dividing both sides by 12 we get:</em>

⇒x=\frac{63}{12}

<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>

⇒x=\frac{21}{4}

Now, putting the value of x on ratios:

Strawberry syrup =  \frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}

                             =  \frac{189}{16}

                             =  11\frac{13}{16}\ cups  

Water = \frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}

          = \frac{63}{8}

          = 7\frac{7}{8} \ cups.

Therefore, the water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

4 0
3 years ago
I need help ASAP middle school work.
Arturiano [62]

Answer:

B

Step-by-step explanation:

For 11  1/2 gallons, he paid $36.80.

We need to find the cost per gallon.

First, converting 11  1/2 gallons to decimal, it is:

1/2 = 0.5

So, 11  1/2  is  11.5 gallons

So, Cost Per Gallon (last week) = \frac{36.80}{11.5}=3.2

There is 5% increase on this $3.20 per gallon. We find 5% of 3.2 and add it to 3.2 to find this week's cost per gallon.

<em>5% = 5/100 = 0.05</em>

<em>0.05 * 3.20 = 0.16</em>

<em>So,</em>

<em>3.20 + 0.16  = $3.36 per gallon</em>

<em />

Cost Per Gallon (this week) = $3.36

To buy 9  1/4 gallons it would take:

3.36*9.25=31.08

<u>Note:</u>  1/4 = 0.25, so 9  1/4 = 9.25

It would cost $31.08  to buy  9.25 gallons this week

Correct answer is B

5 0
3 years ago
If y = -4 when x = 10, find y when x = 5
vesna_86 [32]
To find Y you must divide two by each side, making y=-2
- I hope this helps :)
3 0
3 years ago
Read 2 more answers
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