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dalvyx [7]
3 years ago
6

Factorize 27x^3-16y^3

Mathematics
1 answer:
guapka [62]3 years ago
4 0

It cannot be factorized further

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Give triangle ABC is a right triangle, and angle A is the right angle. If sin(B)=3/5, find the cos(B).
hichkok12 [17]

Answer:

Cos B = 4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine B = 3/5

Cos B =?

Recall:

Sine B = Opposite / Hypothenus

Sine B = 3/5

Therefore,

Opposite = 3

Hypothenus = 5

Next, we shall determine the Adjacent. This can be obtained as follow:

Opposite = 3

Hypothenus = 5

Adjacent =?

Hypo² = Adj² + Opp²

5² = Adj² + 3²

25 = Adj² + 9

Collect like terms

Adj² = 25 – 9

Adj² = 16

Take the square root of both side

Adj = √16

Adjacent = 4

Finally, we shall determine Cos B. This can be obtained as follow:

Hypothenus = 5

Adjacent = 4

Cos B =?

Cos B = Adjacent / Hypothenus

Cos B = 4/5

4 0
3 years ago
A right triangle has a hypotenuse length of 60, and one side length of 24. Do the side lengths form a Pythagorean triple? Explai
Alexeev081 [22]
You can test this using the equation: a^2 + b^2 = c^2.

24^2 + b^2 = 60^2

576 + b^2 = 3,600

b^2 = 3,024

b = 54.999

Since b is not a whole number, the side lengths do not form a Pythagorean triple.

Brainliest answer please!!!
4 0
3 years ago
The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 or
lara31 [8.8K]

Answer:

If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

Step-by-step explanation:

We have,

The number of oranges purchased varies directly as the price of the oranges.

If the cost of 11 oranges is $2.35.

It is required to find the cost of 18 oranges.

As their is direct relation between number and oranges and price.

So,

The cost of 1 orange is $\dfrac{2.35}{11}.

For finding the cost of 18 oranges, multiply 18 by $\dfrac{2.35}{11} such that,

C=18\times \dfrac{2.35}{11}\\\\C=3.84

So, If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

4 0
3 years ago
Helpppppp is required
seraphim [82]

Answer:

im pretty sure its C. X=4 but im not positive.

7 0
3 years ago
A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting t
Yuliya22 [10]

The slope in this scenario is 12 and , starting at $30 the cost will increase by $12 per month .

In the question ,

it is given that

the average bowling league has  one time registration fees

and

a monthly fees .

let the number of months the training continues be "x" .

the equation is given as y = 12x + 30

since the one time registration fees is fixed so , it will be 30 .

and the monthly fees varies with the number of months of training , so monthly fees will be 12x  .

On comparing the given equation y = 12x + 30 with slope intercept form of the line y = mx + c  ,
we get ,

slope (m) = 12 .

and starting cost = $30 and the increase in cost by $12 per month .

Therefore , The slope in this scenario is 12 and , starting at $30 the cost will increase by $12 per month , the correct option is (c) .

The given question is incomplete , the complete question is

A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting the data, it was determined that the average bowling league consists of a one-time registration fee and a monthly fee modeled by the equation y = 12x + 30.

Identify and interpret the slope in this scenario.

(a) The slope is 30. Starting at $12, the cost will increase by $30 per month.

(b) The slope is 30. Starting at $12, the cost will decrease by $30 per month.

(c) The slope is 12. Starting at $30, the cost will increase by $12 per month.

(d) The slope is 12. Starting at $30, the cost will decrease by $12 per month.

Learn more about Slope here

brainly.com/question/24436844

#SPJ1

4 0
1 year ago
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