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Korvikt [17]
3 years ago
12

Express secΦ in terms of tanΦ​

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

\sec\theta=\sqrt{1+\tan^2\theta}

Step-by-step explanation:

The trigonometric identity is :

\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta

We need to express secθ in terms of tanθ.

The above equation becomes,

\sec\theta=\sqrt{1+\tan^2\theta}

Hence, this is the required solution.

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Last year Baron Enterprises had $800 million of sales, and it had $270 million of fixed assets that were used at 65% of capacity
Svetllana [295]

Answer: B. $430.80

Step-by-step explanation:

Given : Last year Baron Enterprises had $800 million of sales.

It had $270 million of fixed assets that were used at 65% (=0.65) of capacity last year.

Now, the used asset = 0.65\times270=\$175.5million

Now, Baron Enterprises had $800 million of sales in $175.5 million of assets , if we use all of $270 million of fixed assets , then the sales will be :-

\dfrac{800}{175.5}\times270=1230.76923077\approx1230.80\text{ million}

Now, the increase in Baron's sales before it is required to increase its fixed assets = \$1230.80-$800=\$430.80\text{ millions}

Hence, the increase in Baron's ( in million ) sales before it is required to increase its fixed assets = $430.80

8 0
3 years ago
Speed, Time, and Dis
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Answer:

3 hours

Step-by-step explanation:

Recall:

Distance = speed x time

we are given that speed = 18 km/h and distance = 54 km.

hence,

54 = 18 x time   (divide both sides by 18 and rearrange)

time = 54/18 = 3 hours

7 0
3 years ago
So I have to compute the following but i don't know what they mean any help?
Gelneren [198K]

Answer:

Step-by-step explanation:

This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr

i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.

I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.

Recall that

nCr=\frac{n!}{(r!)(n-r)!}

Consider question a) we are given (5 1) or ₅C₁

we can see that n = 5 and r = 1

If we substitute this into the formula:

₅C₁ = (5!) / [ (1!)(5- 1)!]

= (5!) / [ (5- 1)!]

= (5!) / (4!)

= (5·4·3·2·1) / (4·3·2·1)

= 5

hence ₅C₁ = 5

7 0
3 years ago
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Romashka-Z-Leto [24]

To simplify combine like terms:

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3 years ago
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