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3 years ago

If Sin0=3/5, then cos0=? Apex

Mathematics

1 answer:

alexandr1967 [171]3 years ago

3 0

Answer:

4/5

Step-by-step explanation:

I believe you meant sin Ф = 3/5, since sin 0 = 0 (zero).

sin Ф = 3/5 = (opposite side) / (hypotenuse).

cos Ф = (adjacent side) / (hypotenuse)

Use the Pythagorean Theorem to find the length of the adjacent side:

(adj)² + (opp)² = (hyp)² becomes (adj)² = 5² - 3² = 25 - 9 = 16.

Then (adj) = +√16 = +4

and so cos Ф = (adj) / (hyp) = 4/5

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Camilias as backyard is in the shape of a rectangle and has a length of 16.5 feet. It costs her $976 to fence in the yard. If fe

Bumek [7]

Answer:

14 feet

Step-by-step explanation:

To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:

p = 2 * l + 2 * w

Now we know that the total fencing value is $ 976 and that per foot is $ 16

that is, we can calculate the value of the perimeter, like this:

976/16 = 61

We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:

61 = 16.5 * 2 + 2 * w

solving for w:

w = (61 - 33) / 2

w = 14

which means that the width of the patio is 14 feet.

8 0

3 years ago

Complete the sentence below. A function f is _____ on an open interval I if, for any choice of x1 and x2 in I, with x1less th

mojhsa [17]

Answer:

Increasing if f' >0 and decreasing if f'<0

Step-by-step explanation:

Difference quotient got by getting

$\frac{f(x+h)-f(x)}{h}$ will be greater than 0 if function is increasing otherwise negative

Here h is a small positive value.

In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.

Here given that for x1, x2 where x1<x2, we have

if f(x1) <f(x2) then the function is decreasing.

Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.

5 0

3 years ago

If g(x) = 2x - 5 and h(x) = 3x + 7, then g(h(x)) = ?

Orlov [11]

G(h(x)) = 2(3x+7) - 5
= 6x + 14 - 5
= 6x + 9

8 0

3 years ago

Convert 59°F to Celsius, using the formula C = (F - 32). 1°C 15°C 49°C 51°C

olasank [31]

Answer: second option

Step-by-step explanation:

The formula to convert the temperature from degrees Fahrenheit to degrees Celsius is:

$C=\frac{5}{9}(F-32)$

Where C is the temperature in degrees Celsius and F is the temperature in degrees Fahrenheit.

Having the temperature 59 °F (degrees Fahrenheit), you need to substitute it into the formula $C=\frac{5}{9}(F-32)$ to make the conversion from degrees Fahrenheit to degrees Celsius (C).

Then, you get:

$C=\frac{5}{9}(59-32)\\C=15\°$

4 0

3 years ago

Consider the ordered pairs (1, 4), (–1, 2), and (0, 3). Which of the four equations below could have been used to generate these

ollegr [7]

The equation of the ordered pairs (1, 4), (–1, 2), and (0, 3) is y = x + 3

<h3>How to determine the equation?</h3>

The ordered pairs are given as:

(1, 4), (–1, 2), and (0, 3)

From the above ordered pairs, we can see that the difference between the x and y values is 3.

This means that:

y - x = 3

Add 3 to both sides

y = x + 3

Hence, the equation of the ordered pairs (1, 4), (–1, 2), and (0, 3) is y = x + 3