An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there?

The approximate time between two high tides or two low tides is?

NeX [460]

Answer:

It's (very roughly) 12 hours from one high tide to the next, and of course the same for low tides. That's because the tides produced when the Moon is directly overhead or in the opposite direction are the same. Same with two low tides, since there are two tides a day (both low and high).

5 0

3 years ago

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Angie mixes 7 2/3 pints fruit juice and 3 1/4 pint sprite to make punch far a party. she has 6 pints left at the end of the part

lana66690 [7]

Answer:

16 11/12

Step-by-step explanation:

7 2/3 + 3 1/4 =

7 8/12 + 3 3/12 =

10 11/12 + 6

16 11/12

5 0

2 years ago

Can you divide fractions using models which one is your favorite and why?

MakcuM [25]

Yes you can divide fractions using models here is an example

6 0

3 years ago

Which expression is equivalent to the one below? 6 ÷ 5 A 6:1/5 B 5:1/6 C 5/6 D 30

vlada-n [284]

Answer:

option A

Step-by-step explanation:

6:1/5 can also be written as 6/1÷5 which equals to 6÷5

7 0

2 years ago

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If sinA+cosecA=3 find the value of sin2A+cosec2A

Irina18 [472]

Answer:

$\sin 2A + \csc 2A = 2.122$

Step-by-step explanation:

Let $f(A) = \sin A + \csc A$ , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

$\csc A = \frac{1}{\sin A}$ (1)

$\sin^{2}A +\cos^{2}A = 1$ (2)

Now we perform the operations: $f(A) = 3$

$\sin A + \csc A = 3$

$\sin A + \frac{1}{\sin A} = 3$

$\sin ^{2}A + 1 = 3\cdot \sin A$

$\sin^{2}A -3\cdot \sin A +1 = 0$ (3)

By the quadratic formula, we find the following solutions:

$\sin A_{1} \approx 2.618$ and $\sin A_{2} \approx 0.382$

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

$\sin A \approx 0.382$

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

$A \approx 22.457^{\circ}$

Then, the values of the cosine associated with that angle is:

$\cos A \approx 0.924$

Now, we have that $f(A) = \sin 2A +\csc2A$ , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used: