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snow_tiger [21]
2 years ago
8

Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.

Mathematics
1 answer:
natita [175]2 years ago
7 0

Answer:

sin (theta) = \frac{\sqrt{15} }{8}

cos (theta) = \frac{7}{8}

tan (theta) = \frac{\sqrt{15} }{7}

cot (theta) = 7 square root 15/15

sec (theta) = \frac{8}{7}

csc (theta) = 8 square root 15/15

Step-by-step explanation:

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Write the equation of a line in slope-intercept form that passes through the given points.
ruslelena [56]

Answer:

<h2>         y = 0.25x + 2</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, 2)    ⇒     x₁ = 0,  y₁ = 2

(-4, 1)     ⇒     x₂ = -4,  y₂ = 1

So the slope:

\bold{m=\dfrac{1-2}{-4-0}=\dfrac{-1}{-4}=0.25}

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is:  y - y₀ = m(x - x₀)

m = 0.25

(0, 2)    ⇒     x₀ = 0,  y₀ = 2

Therefore:

               y - 2 = 0.25(x - 0)

               y - 2 = 0.25x                  {add 2 to both sides}

               y = 0.5x + 2          ←  the slope-intercept form of the equation

5 0
3 years ago
A theme park had 1099 visitors in 3 days.There were twice as many visitors on saturday than on Friday.There were 234 more visito
Blababa [14]

Answer: there were 692 visitors on Saturday.

Step-by-step explanation:

Let x represent the number of visitors that were there on Friday.

Let y represent the number of visitors that were there on Saturday.

Let z represent the number of visitors that were there on Sunday.

The theme park had 1099 visitors in 3 days. It means that

x + y + z = 1099- - - - - - - - - - - - - -1

There were twice as many visitors on saturday than on Friday. This means that

y = 2x

x = y/2

There were 234 more visitors on Sunday than on Saturday. This means that

z = y + 234

Substituting x = y/2 and z = y + 234 into equation 1, it becomes

y/2 + y + y + 234 = 1099

Cross multiplying by 2, it becomes

y + 2y + 2y + 468 = 2198

5y = 2198 - 468

5y = 1730

x = 1730/5

x = 346

y = 2x = 2 × 346

y = 692

z = y + 234 = 692 + 234

z = 926

3 0
2 years ago
Need help please thank you
marshall27 [118]
which one, and um this catagory is english
5 0
3 years ago
Read 2 more answers
Please help, thanks if you do. (WILL MARK)
Likurg_2 [28]

Answer: n-6p^2 + 2np  

Hope this helps!

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Explain why (4, 1) is not a solution to the equation y=3x+1
nexus9112 [7]

In (4, 1) 4 represents x, and 1 represents y

y = 3x + 1

1 = 3(4)+1

1 = 12 + 1

1 ≠ 13   ← sides are not equal so (4, 1) is not a solution to y=3x+1

6 0
3 years ago
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