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4 years ago

Does the information help you prove that ABCD is a parallelogram? Explain

Mathematics

1 answer:

kipiarov [429]4 years ago

4 0

it is 10 I did it before been there done that

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Tony has $10 to buy apples and bananas for a fruit salad. Apples cost $2 per pound and bananas cost $1 per pound. Write and grap

irinina [24]

The equation of inequality would be = 2 x + y ≤ 10 for the process of purchase.

Explanation:

Total amount of money tony have , T = $10

Thus the cost of apple, (We can represent as Ca) = $2

Also the cost of banana,(We can represent as Cb) = $1

Let x be the number of apples bought

Let y be the number of bananas bought

Total expenditure to buy fruits, E = $2 x + $1 y

So,The equation of inequality would be = 2 x + y ≤ 10 for the process of purchase.

5 0

4 years ago

Simplify this equation please.

Sauron [17]

$\dfrac{\csc^2\theta-3\csc\theta+2}{\csc^2\theta-1}$

Identity:

$\sin^2\theta+\cos^2\theta=1\implies1+\cot^2\theta=\csc^2\theta$

So we can rewrite the denominator to get

$\dfrac{\csc^2\theta-3\csc\theta+2}{\cot^2\theta}$

Multiply numerator and denominator by $\sin^2\theta$ . Several terms will cancel since $\sin\theta\csc\theta=1$ . Also, $\cot\theta=\dfrac{\cos\theta}{\sin\theta}$ . We get

$\dfrac{1-3\sin\theta+2\sin^2\theta}{\cos^2\theta}$

Factorize the numerator, and write $\cos$ in terms of $\sin$ in the denominator to factorize it further to get

$\dfrac{(1-\sin\theta)(1-2\sin\theta)}{\cos^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{1-\sin^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}$

The $1-\sin\theta$ factors cancel, leaving you with

$\dfrac{1-2\sin\theta}{1+\sin\theta}$

which you could simplify a bit further by writing

$\dfrac{1+\sin\theta-3\sin\theta}{1+\sin\theta}=1-\dfrac{3\sin\theta}{1+\sin\theta}$

3 0

3 years ago

The number of polynomials having zeros as -2 and 5 is a)1 b)2 c)3 d)more than 3

WINSTONCH [101]

Answer:

d) More than 3.

Step-by-step explanation:

The polynomial (x - 5)(x + 2) ( = x^2 - 3x + 10) has zeros of -2 and 5 but so have the polynomials formed by multiplying this by any integer:

- for example 2(x - 5)(x + 2) , 4(x - 5)(x + 2) and so on.

3 0

3 years ago

On a city map, 2 inches represents 10 miles. The library and the bank are 5 inches apart on the map. What is the actual distance

Furkat [3]

Direct proportionality
2 inches/ 10 miles = 5 inches / x miles
cross multiply
2x = 50
divide both sides by 2
x = 25
The actual distance between the library and the bank is 25 miles

Hope this helps :)

8 0

3 years ago

PLEASE HELP (I'll give you stars) SEE PHOTO for information on question

lions [1.4K]

Answer:

11638 I think cause maximum is 310

5 0

3 years ago