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3 years ago

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How to add and subtract mixed number

1 answer:

sp2606 [1]3 years ago

4 0

Answer: Find the Least Common Denominator (LCD)

Find the equivalent fractions.

Add or subtract the fractions and add or subtract the whole numbers.

Write your answer in lowest terms.

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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

3 years ago

A pass to a water park is $58. A discount of 10% is given to customers at the end of the season.

Helga [31]

Answer: $52.20

Steps:
First way:
10% = 0.1
$58 x 0.1 = $5.80
$58 - $5.8 = $52.20

Second way:
100% = 1
10% = 0.1
1 - 0.1 = .9
That means that when the 10% is taken off, 90% still has to be paid.
$58 x 0.9 = $52.20

5 0

3 years ago

Find the terminal point on the unit circle determined by 11pi/6 radiants

irga5000 [103]

Answer:

$(\frac{\sqrt{3}}{2},-\frac{1}{2})$

Step-by-step explanation:

The unit circle has the parametric equation:

$x=\cos \theta$

$y=\sin \theta$

where $\theta=\frac{11\pi }{6}$ in our case is the terminal side of the angle in standard position.

We substitute to get:

$x=\cos \frac{11\pi }{6}=\frac{\sqrt{3}}{2}$

$y=\sin \frac{11\pi }{6}=-\frac{1}{2}$

$\therefore (\frac{\sqrt{3}}{2},-\frac{1}{2})$ is the required point.

6 0

3 years ago

X+4/5 is less than or equal to -2

insens350 [35]

Answer:

Step-by-step explanation:

less than I think

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3 years ago

The following federal tax table is for biweekly earnings of a single person.

labwork [276]

Answer:

Step-by-step explanation:

c

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3 years ago

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