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Fittoniya [83]
3 years ago
5

I need the answer fast please

Mathematics
2 answers:
kykrilka [37]3 years ago
7 0

Answer:

D) 27

Step-by-step explanation:

3²(2³ + 4)/2² = 9(8 + 4)/4 = 108/4 = 27

Nuetrik [128]3 years ago
3 0

Answer:

27

Step-by-step explanation:

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How do you solve this? cosθ-tanθcosθ=0
laila [671]
First, lets note that tan(\theta)\cdot cos(\theta)=sin(\theta). This leads us with the following problem:

cos(\theta)-sin(\theta)=0

Lets add sin on both sides, and we get:

cos(\theta)=sin(\theta)

Now if we divide with sin on both sides we get:

\frac{cos(\theta)}{sin(\theta)}=1

Now we can remember how cot is defined, it is (cos/sin). So we have:

cot(\theta)=1

Now take the inverse of cot and we get:
\theta=cot^{-1}(1)=\pi\cdot n+ \frac{\pi}{4} , \quad n\in \mathbb{Z}

In general we have cot^{-1}(1)=\frac{\pi}{4}, the reason we have to add pi times n, is because it is a function that has multiple answers, see the picture:

4 0
3 years ago
In a standard deck of playing cards, one-fourth of the cards are hearts.
makkiz [27]

Answer:

\sf D) \quad \dfrac{1}{64}

Step-by-step explanation:

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Probability of drawing a heart from one deck:

\sf \implies P(heart)=\dfrac{1}{4}

Therefore, probability of drawing a heart from each of 3 decks:

\sf \implies P(heart)\:and\:P(heart)\:and\:P(heart)=\dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{64}

7 0
2 years ago
Which of the following points lie in the solution set to the following system of inequalities?
Lorico [155]
All you have to do is try both of the equations by filling in the variables with the choices. 

-5 > -3 (2) + 3
-5 > -5 + 3
-5 > -2

-5 > (2) + 2
-5 > 4
So, this does not work.
--------------------------------------------
5 > -3 (-2) + 3
5 > 5 + 3
5 > 8

5 > (-2) + 2 
5 > 0
So, this does not work.
-------------------------------------------
5 > -3 (2) + 3
5 > -5 + 3
5 > -2

5 > 2 + 2
5 > 4
So, this works.
-----------------------------
-5 > -3 (-2) + 3
-5 > 5 + 3
-5 > 8

-5 > (-2) + 2
-5 > 0
So, this does not work.

The answer would be C.

I hope this helps!
3 0
3 years ago
How do you convert a fraction into a percentage?
dmitriy555 [2]
Divide the denominator from the numerator.

For example:

1/8 is the same as 1÷8

Then do long division:     
   _____
 8) 1

You will get 0.125
8 0
3 years ago
Read 2 more answers
A muffin factory made 8,250 blueberry muffins. After arranging the muffins into packages the factory did not have any leftover m
Monica [59]
They could be putting 2,3,5,6,or 10 .
5 0
3 years ago
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