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allsm [11]
3 years ago
6

Find box given volume?

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0
Is There Any More Info For Me To Help You?
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Find out the answers to this
meriva

Answer:

\tan \theta = - \frac{1}{5} = - 0.2

\cos \theta = 0.98

\sin \theta = - 0.196

Step-by-step explanation:

It is given that \cot \theta = - 5 and \theta is in the fourth quadrant.

So, only \cos \theta will have positive value and \sin \theta, \tan \theta will have negative value.

Now, \cot \theta = - 5

⇒ \tan \theta = \frac{1}{\cot \theta} = -\frac{1}{5} (Answer)

We know, that \sec^{2} \theta - \tan^{2} \theta = 1

⇒ \sec \theta = \sqrt{1 + \tan^{2} \theta } = \sqrt{1 + (- \frac{1}{5} )^{2} } = 1.019

{Since, \cos \theta is positive then \sec \theta will also be positive}

⇒ \cos \theta = \frac{1}{\sec \theta} = \frac{1}{1.0198} = 0.98 (Answer)

We know, that \csc^{2} \theta - \cot^{2} \theta = 1

⇒ \csc \theta = - \sqrt{1 + \cot^{2} \theta } = - \sqrt{1 + (- 5 )^{2} } = - 5.099

{Since, \sin \theta is negative then \csc \theta will also be negative}

⇒ \sin \theta = \frac{1}{\csc \theta} = \frac{1}{- 5.099} = - 0.196 (Answer)

4 0
3 years ago
A square rug has an area 36 ft squared. Write the side length as a square root. Then decide if the side length is a rational num
Masja [62]

Answer:

Side length = 6 ft

Step-by-step explanation:

Each side is 6 ft

6 x6 = 36 square feet

6 0
2 years ago
Read 2 more answers
The circumference of the target above is 6,895.4400000000 mm.
Sergio039 [100]

Diameter of the target is 2196 mm

Step-by-step explanation:

We are given Circumference of target = 6,895.4400000000 mm.

We need to find the diameter of target.

The formula used is:

C= 2\pi r

Putting values:

C=2\pi r\\6,895.4400000000=2*3.14*r\\6,895.4400000000=6.28*r\\r=\frac{6,895.4400000000}{6.28} \\r=1098\,\,mm \\

We know that Diameter = 2*radius

So, Finding Diameter:

Diameter = 2*radius\\Diameter = 2*1098\\Diameter = 2196\,\,mm

So, Diameter of the target is 2196 mm

Keywords: Circumference

Learn more about Circumference at:

  • brainly.com/question/12905000
  • brainly.com/question/8929610
  • brainly.com/question/5998244

#learnwithBrainly

4 0
3 years ago
the dimensions of a triangular prism are shown in the diagram.What is the volume of the triangular prism in cubic centimeters
bonufazy [111]

Answer:

Answer:

1632 cm³

Step-by-step explanation:

½(12×8)×34

= 1632

Step-by-step explanation:

7 0
2 years ago
Can you help me with the answer for these questions please
marishachu [46]
23. 90
24. Games 1-5 had an average of 8 and games 6-10 had an average of 11, so games 6-10 had an average greater than games 1-5 by 3 points.
25. 168
3 0
3 years ago
Read 2 more answers
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