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2 years ago

In which quadrant does θ lie if the following statements are true: cos⁡θ>0 and sin⁡θ>0

Mathematics

1 answer:

Papessa [141]2 years ago

6 0

Answer:

First quadrant

Step-by-step explanation:

cosθ > 0 in first/ fourth quadrants

sinθ > 0 in the first/ second quadrants

sinθ and cosθ are both > 0 in the first quadrant

Then θ lies in the first quadrant

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Select the expression that is equal to (-2x +9) – (3x – 4).

Anna [14]

Answer:

Step-by-step explanation:

(-2x+9-3x-4)

-2x-3x+9-4

-5x+5

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2 years ago

Use the quadratic formula to find the solutions to the quadratic equation

wlad13 [49]

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2 years ago

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(question 31) if arc mBC =120 and arc mAD =50 whatis the measure of angle DYC

g100num [7]

<h3>Answer: D) 95</h3>

===============================================================

Explanation:

First, let's calculate angle BYC. This is the angle formed by the chords that subtend the arcs mentioned. This angle faces or is aimed toward the direction of the arcs. To find this angle, we'll average the arc measures like so:

angle BYC = (arcAD + arcBC)/2

angle BYC = (50+120)/2

angle BYC = 170/2

angle BYC = 85 degrees

Then we'll use the idea that angles BYC and DYC are supplementary (aka they form a straight 180 degree angle)

angleBYC + angleDYC = 180

angleDYC = 180 - angleBYC

angleDYC = 180 - 85

angleDYC = 95 degrees

which is why the answer is choice D.

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2 years ago

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2 years ago

What is the distance between the points (2, 5) and (5,7)?

Svetlanka [38]

Answer:

$\sqrt{13}$

Step-by-step explanation:

The distance formula that gives the distance between two points is given as:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Plugging in our given points, we get:

$d=\sqrt{(5-2)^2+(7-5)^2},\\d=\sqrt{3^2+2^2},\\d=\sqrt{9+4},\\d=\fbox{$\sqrt{13}$}$ .

6 0

2 years ago