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3 years ago

What is the correct definition for cot θ

Mathematics

1 answer:

bazaltina [42]3 years ago

4 0

Answer with explanation:

Out of six Trigonometric Ratios,that is ,sinθ,cosθ,tanθ,Cosecθ,tanθ, cotθ ,all are used for a right triangle.

For any right triangle

cot θ

$=\frac{\text{Base}}{\text{Perpendicular}}=\frac{1}{tan \Theta}$

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Can someone help me please id really appreciate it , i’ll give you brainliest

ozzi

Answer:

Alternate Exterior Angles Theorem

Step-by-step explanation:

By looking, we can see that they are exterior angles. Because 2 parallel lines are cut by a transversal, the angles are congruent.

4 0

2 years ago

A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs

LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

$h=\frac{400}{\pi r^2}$

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: $h=\frac{400}{\pi r^2}$

Therefore:

$C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})$

$C(r)=0.12\pi r^2+\frac{24}{r}$

$C(r)=\frac{0.12\pi r^3+24}{r}$

The minimum cost occurs when the derivative of the Cost =0.

$C^{'}(r)=\frac{6\pi r^3-600}{25r^2}$

$6\pi r^3-600=0$

$6\pi r^3=600$

$\pi r^3=100$

$r^3=\frac{100}{\pi}$

$r^3=31.83$

r=3.17 cm

Recall that:

$h=\frac{400}{\pi r^2}$

$h=\frac{400}{\pi *3.17^2}$

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0

3 years ago

Can anyone please solve this problem? Please answer, help me out

lesya [120]

I believe the answer is 62

8 0

3 years ago

Read 2 more answers

What is the measure of < DBC

notsponge [240]

Answer:

∠D B C = 41°

Step-by-step explanation:

Step(i):-

Given ∠ABC = 90°

In diagram ∠D B C + ∠A B D = 90°

6 x+5 + 8 x +1 = 90

14 x + 6 = 90

14 x = 90 -6

14 x = 84

x = 6

Step(ii):-

∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41

∠D B C = 41°

∠A B D = 8(6) +1 = 49°

∠D B C + ∠A B D = 41° + 49° = 90°

3 0

2 years ago

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A pitcher of fruit punch holds 2 gallons. If 9 people share the entire pitcher equally, how much punch does each person get in a

EastWind [94]

2/9 of a gallon per person.

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2 years ago