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trapecia [35]
4 years ago
5

Is sqrt(1 - sin^2 θ) = cos θ true? if so, in which quadrants does angle θ terminate?​

Mathematics
1 answer:
jonny [76]4 years ago
7 0

Answer:

  I and IV

Step-by-step explanation:

Since 1-sin(θ)² = cos(θ)², the given equation is equivalent to ...

  √(cos(θ)²) = |cos(θ)| = cos(θ)

This will be true where the cosine is non-negative, in the first and fourth quadrants.

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Find the slope intercept equation of the line perpendicular to the line 2X-5y=6 and containing the point (2,2)
Romashka [77]

Answer:

The equation of the perpendicular line would be y = -5/2x + 7

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. We do this by solving for y.

2x - 5y = 6

-5y = -2x + 6

y = 2/5x - 6/5

This shows us a slope of 2/5. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negate 2/5 to get -2/5 and then we flip it to get -5/2. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = -5/2(x - 2)

y - 2 = -5/2x + 5

y = -5/2x + 7


6 0
3 years ago
G(x) = 3x -1. Find x such that g(x)= 2​​0​.
sergiy2304 [10]

Step-by-step explanation:

i. 3x-1=20

or, 3x= 21

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ii. 3x+1= 22

3x= 21

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iii. 2x-5=99

2x= 104

x=52

iv. g(3)= 3+5/2= 11/2

g(0)= 0+ 5/2=5/2

g(-3)= -3+5/2 = -1/2

x+5/2= 0

so, x= -5/2

3 0
3 years ago
The volume of a pyramid with a square base is given by the expression 1/3s^2h, where s is the length of a side of the base and h
Ray Of Light [21]
The volume is 480 ft3}
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6 0
4 years ago
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AVprozaik [17]

Answer:

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3 years ago
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elena55 [62]

Answer:

<em>B) Parallellogram </em>

Step-by-step explanation:

Parallelograms are quadrilaterals where all of the opposite sides are parallel and equal.

Hope this helped, let me know if you need anything else ^-^

5 0
3 years ago
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