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Fiesta28 [93]
3 years ago
5

If cot(theta)=1.5 and theta is in quadrant 3, what is the value of sin theta

Mathematics
1 answer:
____ [38]3 years ago
7 0
The answer:
cot(theta)=1.5, to find theta, cot(theta)=1.5 implies theta= arc cot (1.5)

but we kknow that cot(theta) = 1 /  tan(theta), this implies 

 1 /  tan(theta) =1.5, and  tan(theta) = 1 / 1.5 = 0.6
 
and theta is in quadrant 3,  costheta and sintheta are negatives

so  tan(theta) is positive, 

tan(theta) = 0.6, therefore,  (theta) = arctan ( 0.6)= 30.9°

finally  (theta) =  30.9°


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3 years ago
HELP URGENT. The following sphere has a diameter of 18 cm. What is the volume of the sphere? Use 3.14 for and round your answer
Trava [24]

The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

<h3>What is the volume of the sphere?</h3>

The volume of  the sphere is the amount of space occupied within the sphere.

Volume of sphere is expressed as;

V = (4/3)πr³

Where r is the radius and π is pi ( π = 3.14 )

Given that;

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V = (4/3)πr³

V = (4/3) × 3.14 × 9cm)³

V = (4/3) × 3.14 × 729cm³

V = 3052.1cm³

Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

Learn more about volume of hemisphere here: brainly.com/question/3362286

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6 0
2 years ago
The queen marys 2’d height above water is about the same as a 14 story building, what is the queen mary twos height above water,
Alex_Xolod [135]

Answer: Length 1,132 ft

Step-by-step explanation: Im not sure if this is the one your talking about but here.

3 0
3 years ago
Help help help help |0.75−0.25z |= 3/4
Arada [10]
Z=0 I think it’s the answer
3 0
3 years ago
Read 2 more answers
B.<br> 7) 3z + 8 - 2 = -35
Kamila [148]

Answer:

z=9.7

Step-by-step explanation:

3z + 8 - 2 = -35

Subtract 6 from both sides

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3 years ago
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