What is 1/10 plus 8/100

Angle θ lies in the second quadrant, and sin θ = .

nata0808 [166]

Answer:

The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth as shown. Angles in the third quadrant, for example, lie between 180∘ and 270∘ &By considering the x- and y-coordinates of the point P as it lies in each of the four quadrants, we can identify the sign of each of the trigonometric ratios in a given quadrant. These are summarised in the following diagrams. &In the module Further trigonometry (Year 10), we saw that we could relate the sine and cosine of an angle in the second, third or fourth quadrant to that of a related angle in the first quadrant. The method is very similar to that outlined in the previous section for angles in the second quadrant.

We will find the trigonometric ratios for the angle 210∘, which lies in the third quadrant. In this quadrant, the sine and cosine ratios are negative and the tangent ratio is positive.

To find the sine and cosine of 210∘, we locate the corresponding point P in the third quadrant. The coordinates of P are (cos210∘,sin210∘). The angle POQ is 30∘ and is called the related angle for 210∘.

Step-by-step explanation:

6 0

3 years ago

Suppose there is a 1.8°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on

makkiz [27]

Answer: 32.8°F

Step-by-step explanation:

1.8°F times 7 = 12.6°F

45.4°F - 12.6°F = 32.8°F

5 0

3 years ago

Read 2 more answers

A sofa originally selling $795 is being discounted by 25%. How much is the discount?

professor190 [17]

Answer:

198.75

Step-by-step explanation:

Multiply 795 by .25

$795 - $198.75= new price

7 0

3 years ago

Read 2 more answers

PLEASE HELP! WILL MARK BRAINLIEST

omeli [17]

1)

v - 6 ≥ 4

+6 +6

v ≥ 10

Graph: 10 -----------------→ the dot at 10 is filled in because of the "equal to" symbol

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2)

-5x < 15

$\frac{-5x}{-5} > \frac{15}{-5}$ divided by a negative so the symbol flipped

x > -3

Graph: -3 o------------------→ the dot at -3 is NOT filled in because it's NOT "equal to"

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3)

3k > 5k + 12

-5k -5k

-2k > 12

$\frac{-2k}{-2} < \frac{12}{-2}$ divided by a negative so the symbol flipped

k < -6

Graph: ←------------o -6 the dot at -6 is NOT filled in because it's NOT "equal to"

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5)

2t ≤ 4 or 7t ≥ 49

$\frac{2t}{2} \leq\frac{4}{2}$ or $\frac{7t}{7} \geq \frac{49}{7}$

t ≤ 2 or t ≥ 7

Graph: ←------- 2 7 ---------→ the dots at 2 and 7 are filled in

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6)

| n + 2 | = 4

n + 2 = 4 or n + 2 = -4

-2 -2 -2 -2

n = 2 or n = -6

Answer: n = {2, -6}

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7)

| 2x - 7 | > 1

2x - 7 > 1 or 2x - 7 < -1

+7 +7 +7 +7

2x > 8 or 2x < 6

$\frac{2x}{2} > \frac{8}{2}$ or $\frac{2x}{2} < \frac{6}{2}$

x > 4 or x < 3

Graph: ←----------o 3 4 o------------→

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8)

A = {1, 2, 3, 4, 5, 6, 7, 8, 9} B = {2, 4, 6, 8}

A U B = {1, 2, 3, 4, 5, 6, 7, 8, 9} union combines both sets

A ∩ B = {2, 4, 6, 8} intersection includes only those that are in BOTH sets

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9)

P = {1, 5, 7, 9, 13} R = { 1, 2, 3, 4, 5, 6, 7} Q = {1, 3, 5}

P ∩ R ∩ Q = {1, 5}

P ∩ R = {7} disregard 1 & 5 since they are already in P∩Q∩R

R ∩ Q = {3} disregard 1 & 5 since they are already in P∩Q∩R

P ∩ Q = { } disregard 1 & 5 since they are already in P∩Q∩R

P no intersection = {9, 13)

R no intersection = {2, 4, 6}

Q no intersection = { }

If you can't figure out how to draw it based on the information I provided, please see the attached diagram. Note: Usially, you would only identify P, Q, R. I identified the intersections so you would understand why those specific numbers are placed in the designated sections.

4 0

3 years ago

All pies at the baked goods booth were cut into eighths. When Justina Hartley’s sift in the boot began, there were eight and one

fomenos

Answer: 3 1/4

Step-by-step explanation: you started with 8 1/4 subtract the 1/4 now ur left with 8-3 which equals 5

7 0

2 years ago