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Mariana [72]
2 years ago
6

Evaluate the function f(x) = sec(x - pi/2) for x = 0.

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
5 0
\sec\left(0-\dfrac{\pi}{2}\right)=\sec\left(-\dfrac{\pi}{2}\right)=\dfrac{1}{\cos \left(-\dfrac{\pi}{2}\right)}=\dfrac{1}{0}

So, the function f(x) for x=0 is undefined.
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nordsb [41]

Answer:

1. 15/25 or 3/5

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3. 8/25

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6 0
3 years ago
On a map, the distance between Greenville and Fairview is 7 1/4 inches. If the map uses a scale of 1/2 inch = 40 miles, what is
lubasha [3.4K]

The actual distance between cities is 580 miles.

Step-by-step explanation:

Map distance = 7\frac{1}{4} inches = \frac{29}{4}\ inches

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Keywords: fraction, multiplication

Learn more about fractions at:

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4 0
3 years ago
Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogeth
Airida [17]

Answer:

£480

Step-by-step explanation:

we can multiply both terms of ratio with same number without changing the ratio.

Example

a:b = ax: bx (here we have multiplied both terms with x)\

Given

Stevie and Michael share their profit in a ratio 3:5

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

3x = 120 + 5x

3x-5x = 120

=> -2x = 120

=> x= -120/2 = -60

As we see profit is negative , hence it cannot be solution.

It can be solved if Stevie and Michael share their profit in a ratio 5:3

(note: in ratio , bigger number should have bigger term in ratio)

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

5x = 120 + 3x

5x-xx = 120

=> 2x = 120

=> x= x120/2 = 60

Profit for stevei = 5x =5*60 = 300

Profit for Michael = 3x = 3*60 = 180

Total profit for them together = 300 + 180 = 480 Answer.

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