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Sidana [21]
2 years ago
11

Here is the proof of sinx+cos^2x/cosx=tanx+cosx. What is the missing line?

Mathematics
1 answer:
Eva8 [605]2 years ago
3 0

See Explanation Below

Step-by-step explanation:

Given

Required

Prove

To start with; we open the bracket on the left hand side

Reorder

From trigonometry;

So;

becomes

Also from trigonometry;

So,  

becomes

Proved

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Find the equation of a line that is perpendicular to 4x+6y=1 that has a greater y intercept compared to 2x+3y=18
Marina86 [1]

Answer:

4y = 6x + 40

Step-by-step explanation:

The general equation of a straight line is y = mx + b

m is the slope and b is the y-intercept

let us write both equations in this form;

we have this as;

6y = -4x + 1

y = -4x/6 + 1/6

and;

2x + 3y = 18

3y = -2x + 18

y = -2x/3 + 6

So firstly we want to find an equation that is perpendicular to the first

When two lines are perpendicular, their slopes has a product of -1

The slope of the first line is -4/6

let the slope of the line we want be m

As per they are perpendicular;

-4/6 * m = -1

-4m/6 = -1

-4m = -6

m = 6/4

So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6

we can choose 10

and we have the equation as:

y = 6x/4 + 10

multiply through by 4

4y = 6x + 40

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3 years ago
BRAINLIEST IF CORRECT
stellarik [79]
The answer is C. f(x) = 0.05 
4 0
3 years ago
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The right cylinder in the diagram has a volume of 450 cm3. The other cylinder has a slant length of 10 cm, but the same base are
mezya [45]
A tilted or slanted cylinder has the same volume as its equivalent right cylinder, provided that
(a) the two bases of the tilted cylinder are parallel,
(b)  the base areas of the tilted and right cylinders are equal,
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This fact can be verified by slicing the tilted cylinder into thin, flat washers, as in integral calculus.

Because all 3 conditions are satisfied, the volume of the tilted cylinder is 450 cm³.

Answer: 430 cm³
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3 years ago
salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what i
cestrela7 [59]

Step-by-step explanation:

z-score of X = 6150

\frac{6150 - 6250}{250}   =  - 0.4 \\

z-score of X = 6350

\frac{6350 - 6250}{250}  =  - 0.4

P(X<6150) + P(X>6350)

=P(z<-0.4) + P(z>-0.4)

=0.3446+0.3446

=0.6892

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2 years ago
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Ber [7]

Step-by-step explanation:

6 {x}^{2}  - 5x + 2 - 2 {x}^{4}   + 3 {x}^{2}   - 2=  \\  =  - 2 {x}^{4}  + 9 {x}^{2}  - 5x

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