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Natasha_Volkova [10]
2 years ago
15

Name the quadrant in which cotθ and cosθ are negative.

Mathematics
2 answers:
diamong [38]2 years ago
8 0
Recall "All Silver Tea Cups"
or All Sin Tan Cos

Quadrant 1 : All trigonometric ratios are positive.
Q2: only sin (and cosec)
Q3 : only Tan (and cot)
Q4 : only Cos (and cosec)

So, cot theta will be negative in Quadrant 2,4
and cos theta will be negative in Quadrant 2,3

In Quadrant 2, both will be negative!
AleksandrR [38]2 years ago
8 0

Answer:2

Step-by-step explanation:

32(2)-16(2)^2

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PLS HELP I WILL GIVE BRAINIEST If triangle BCD were rotated over the y-axis from point (0, 0), what would be the coordinates of
Sphinxa [80]
The answer would be B
7 0
2 years ago
13.
Artist 52 [7]

Answer:

5 units

Step-by-step explanation:

An isosceles triangle is a triangle with two legs that have the same length. The perimeter of a triangle is the sum of the lengths of all sides of the triangle. Now taking this into account, we know that:

2L + B = 14 units

Where:

L is the measure of one leg

B is the measure of the base

Since two legs are the same and the base is 1 less, this means the measure of each leg would be:

B = L -1

Now we have two equations:

2L + B = 14 units

B = L- 1

We plug one equation into the other and make 1 equation:

2L + (L-1) = 14 units

Get rid of the parentheses:

2L + L - 1 = 14

Combine like terms:

3L - 1 = 14

Add 1 to both sides of the equation:

3L - 1 + 1 = 14 + 1

3L = 15

Divide both sides by 3:

3L/3 = 15/3

L = 5

So the length of a leg is 5 units

Let's check!

B = L - 1

B = 5 - 1

B = 4

Then we use that to solve for the perimeter:

2L + B

2(5) + 4

10 + 4 = 14

7 0
3 years ago
Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c
Paha777 [63]

Answer:

* AD is congruent to DC and BD <em>true</em>

* m∠B = 90° <em>true</em>

<u>* The measure of arc AC is equal to the measure of arc AB </u><u><em>not be true</em></u><em> ( The right answer  )</em>

* The measure of arc AB is equal to measure of arc BC <em>true</em>

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and  ∠ADC  is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

∴ m∠B = 90°

∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

3 0
3 years ago
Find the value of x. Geomotary triangles
Aleonysh [2.5K]
X/15=4/16 def of similar triangle by AAA
x = 60/16=5/2
8 0
2 years ago
PLZ HELP ASAP WILL MARK YOU BRAINLYEST
katen-ka-za [31]

Answer:

1.) : You should buy the second one (16cm x 45cm)

2.) : Between the smallest and the biggest vases, the cone face holds 396 more water than the smallest one.

Step-by-step explanation:

10 x 40 = 400

16 x 45 = 720

18 x 18 = 324

———————

720 - 324 = 396

6 0
2 years ago
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