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2 years ago

11

If θ is an angle in standard position and its terminal side passes through the point (5,-12), find the exact value of sinθ in th

e simplest radical form. need answer, please

1 answer:

katovenus [111]2 years ago

8 0

9514 1404 393

Answer:

sin(θ) = -12/13

Step-by-step explanation:

The distance from the origin to the given point is ...

r = √(5² +(-12)²) = √169 = 13

For point (x, y) ⇔ (r; θ), recognize that (x, y) = (r·cos(θ), r·sin(θ)). This translates to ...

sin(θ) = y/r

sin(θ) = -12/13

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I need help with this math question

Butoxors [25]

Answer:

The base would be the same since it's the same number. (Base is 7).

You would then subtract 10 by 3 and you would get 7. Answer is 7 to the power of 2.

Hope this helps (:

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3 years ago

1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):

Aleksandr [31]

1) $y=-0.5x-2$

The graph of the above equation is attached in the attachment below.

For all the values from negative infinity to -4, the function is positive.

X ∈ (-∞,-4]

2) $y=-1.5x+3$

To find the x- intercept, plug y =0

$0=-1.5x+3$

$1.5x=3$

$x=2$

x intercept = (2,0)

To find the y- intercept, plug x=0

$y=-1.5(0)+3$

$y=3$

Y- intercept = ( 0,3)

3) $y=13-x$

Y- intercept = (0,13)

x- intercept = (13,0)

Area of triangle = $\frac{bh}{2}$

Area of triangle = $\frac{13\times13}{2}$

Area = $\frac{169}{2}$ sq unit.

4) The graphs of $y=-2x+7$ and $y=0.5x-5.5$ is attached in the attachment below.

The intersection point is ( 5,-3)

5) A = (-3,0)

B = (4,5)

C = (0,-4)

Slope of AB = $\frac{5-0)}{4-(-3)} =\frac{5}{7}$

Slope intercept of line $y=mx+b$

Where, m is the slope and b is the y- intercept.

Plugging point A and the slope in the y- intercept to find the value of b.

$0=\frac{5(-3)}{7} +b$

$b=\frac{15}{7}$

Equation of line AB: $y=\frac{5x}{7} +\frac{15}{7}$

Slope of BC = $\frac{-4-5}{0-4} =\frac{9}{4}$

Plug C = (0,-4)

$-4=0+b$

b=-4

equation of line BC= $y=\frac{9x}{4} -4$

Slope of line AC = $\frac{-4-0}{0--3} =\frac{-4}{3}$

Equation of line AC = $y=\frac{-4x}{3} -4$

Y intercept of AB = $(0,\frac{15}{7} )$

5 0

3 years ago

Read 2 more answers

What is 0.5 as a fraction in simplest form

Aloiza [94]

Answer:

1/2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A tortoise is walking in the desert. It walks for 2 minutes at a speed of 5.12 meters per minute. For how many meters does it wa

Gnesinka [82]

What you have to do is multiply 5.12*2
10.24 meters

5 0

3 years ago

Find the missing side length. Leave your answer as a radical in the simplest form

seraphim [82]

9514 1404 393

Answer:

x = y = 12

Step-by-step explanation:

A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...

1 : 1 : √2

Multiplying these ratios by 12 gives ...

12 : 12 : 12√2 = x : y : 12√2

The side lengths x and y are both 12 units.

4 0

2 years ago