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4 years ago

Which is the graph of y = [x] - 2?

Mathematics

1 answer:

padilas [110]4 years ago

3 0

The slope is 1 and the y-intercept is -2

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Let (8,−3) be a point on the terminal side of θ. Find the exact values of cosθ, cscθ, and tanθ.

denis23 [38]

Answer:

$\text{Cos}\theta=\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}$

$\text{Csc}\theta=-\frac{\sqrt{73}}{3}$

$\text{tan}\theta =\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}$

Step-by-step explanation:

From the picture attached,

(8, -3) is a point on the terminal side of angle θ.

Therefore, distance 'R' from the origin will be,

R = $\sqrt{x^{2}+y^{2}}$

R = $\sqrt{8^{2}+(-3)^2}$

= $\sqrt{64+9}$

= $\sqrt{73}$

Therefore, Cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}$

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{y}{R}=\frac{-3}{\sqrt{73} }$

tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}$

Cscθ = $\frac{1}{\text{Sin}\theta}=\frac{R}{y}=-\frac{\sqrt{73}}{3}$

6 0

4 years ago

State the commutative property of addition using the variables a and b.

Verdich [7]

Answer:

a+b=b+a

Step-by-step explanation:

so 7+4=12 and 4+7=12 so addition is commutative

7 0

4 years ago

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Find the sum of the series: .25+.125+.0625+....

alexgriva [62]

Hope it will help you!

4 0

4 years ago

Is 2/5 closer to 0, 1/2 or 1

Elza [17]

Answer:

1/2

Step-by-step explanation:

1/2 of 2/5 is 0.2 or as a fraction is 1/5

2/5 is closer to 1/5 because it is only 1/5 off, but for 0 2/5 is 2/5 off and for 1 2/5 is off by 3/5

Either way if this didn't explain right as it is merely a example.

2/5 overall is just closer to 1/2 than it is to 0.

5 0

3 years ago

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Write a related subtraction fact 7+6=13

Klio2033 [76]

7 + 6 = 13

13 - 6 = 7 or 13 - 7 = 6

7 0

3 years ago