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aksik [14]
2 years ago
10

If 2tanx/1-tan^2x=1, then x can equal

Mathematics
2 answers:
NARA [144]2 years ago
5 0
Tan 2x = 2 tan x / (1-tan^2x)

hence, tan 2x = 1
2x = pi
x = pi/2.
Vladimir79 [104]2 years ago
3 0
Hello,

tan 2x=1
==>2x=(π/4+kπ)/2
==>x=π/8+kπ/2  (k integer)


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A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Whic
Rudiy27

Answer:

A. {(1, 6.7), (2, 6.4), (3, 6.1)}

Step-by-step explanation:

The watering can dispenses water at a rate of 0.3 gallon per minute and the original volume of water in the can was 7 gallons.

Let y represent the volume of water in the can in gallons

Let x represent time in minutes

f(x) = y = 7 – 0.3(x)

When x = 1,

y = 7 – 0.3(1)

= 7 – 0.3

= 6.7

The pair will be (1, 6.7)

When x = 2,

y = 7 – 0.3(2)

= 7 – 0.6

= 6.4

The pair will be (2, 6.4)

When x = 3,

y = 7 – 0.3(3)

= 7 – 0.9

= 6.1

The pair will be (3, 6.1)

The set of ordered pairs shows the volume of water in the can in gallons (y) as a function of time in minutes (x) from the first minute after the can starts dispensing water is {(1, 6.7), (2, 6.4), (3, 6.1)}  

4 0
3 years ago
A function is given. g(x) = 6 x ; x = 1, x = a. determine the net change between the given values of the variable.
Pavlova-9 [17]

The net change between the given values of the variable is 6a - 6

<h3>How to determine the net change between the given values of the variable?</h3>

The given parameters are

g(x) = 6x

Where

x = 1 and  x =a

Calculate g(1) and g(a)

So, we have

g(1) = 6 * 1

g(1) = 6

g(a) = 6 * a

g(a) = 6a

The net change between the given values of the variable is

Change = g(a) - g(1)


So, we have

Change = 6a - 6

Hence, the net change between the given values of the variable is 6a - 6

Read more about functions at:

brainly.com/question/1415456

#SPJ4

5 0
1 year ago
Given ​f(x)=20x+11​, find ​f(4​)
kakasveta [241]

Answer:

91

Step-by-step explanation:

Substitute 4 in place of x

f(4)=20*4+11

f(4)=80+11

f(4)=91

3 0
2 years ago
K decreased by the quotient of 2 and 9
dem82 [27]
The answer is k-2/9 because it says that k is decreased which means u substrate and then it's says the quotient of 2 and 9 which means that u divide so then u get 2/9
7 0
3 years ago
A right triangle has legs measuring 4.5 meters and 1.5 meters.
sasho [114]
Well,

If the length of the legs of the second triangle are proportional to the lengths of the legs of the first triangle, we could simply multiply both of the dimensions by whole numbers and get an infinite number of proportional lengths.

Example:
4.5 * 2 = 9
1.5 * 2 = 3

A triangle with legs measuring 9 meters and 3 meters will be proportional to the first triangle with leg lengths of 4.5 and 1.5 meters, respectively.

More proportional lengths:
4.5 * 3 = 13.5
1.5 * 3 = 4.5

4.5 * 4 = 18
1.5 * 4 = 6
5 0
3 years ago
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