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miss Akunina [59]
3 years ago
12

If tan∅ = √15÷10, find cot∅

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Answer:

cot(∅) = \frac{10\sqrt{15} }{15}

Step-by-step explanation:

tan ∅ and cot ∅ are inverse functions

therefore the inverse of

tan ∅ = √15 / 10

is equal to

cot ∅ = 10 / √15

Rationalizing the denominator

\frac{10}{\sqrt{15} } * \frac{\sqrt{15} }{\sqrt{15} }

cot ∅ = \frac{10\sqrt{15} }{15}

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What time what equals 315
hammer [34]
I divided 315 by any random number and chose the one that gave me a whole number
So I got 5x63 = 315
4 0
2 years ago
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Jacob had a cube. When Jacob made a cross section parallel to the base, what shape did the cross section form? trapezoid square
vivado [14]

Answer: Square

Step-by-step explanation:

A cross section cut parallel to a base will be the same shape as the base itself, and the base of a cube is a square. :)

4 0
1 year ago
HELP HELP HELP HELP HELLPP
Veronika [31]
The rectangular prism has the greatest volume

Rectangular Prism Volume= 72
Triangular Prism Volume = 70

Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h

Work:
(R.Prism)

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(T.Prism)

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Hope this helps
4 0
2 years ago
A manufacturer has 5,634 pens to divide into packs of 4 pens. The manufacturer makes as many packs as possible.
Pachacha [2.7K]

Answer:

1,408 packs can be made, and 2 pens will be left out.

Step-by-step explanation:

Given that a manufacturer has 5,634 pens to divide into packs of 4 pens, and the manufacturer makes as many packs as possible, to determine how many packs of pens does the manufacturer make, and how many pens are left over, the following must be done calculation:

5.634 / 4 = X

1,408.5 = X

5,634 - (1,408 x 4) = X

5.634 - 5.632 = X

2 = X

Therefore, 1,408 packs can be made, and 2 pens will be left out.

4 0
3 years ago
Evan is on holidays in Beijing, China. He took a taxi from the airport to his hotel. It cost him 375 Chinese yuan. He went $15 A
Alekssandra [29.7K]

This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.

-----------------------------------------

  • Evan budgeted $60 for the taxi ride.
  • He went $15 over, thus, the taxi ride cost $75.
  • In Chinese yuans, the cost was 375.

-----------------------------------------

75 dollars are worth 375 yuans. How much yuans is a dollar worth?

1 dollar - x yuans

75 dollars - 375 yuans

Applying cross multiplication:

75x = 375

x = \frac{375}{75}

x = 5

Evan gets 5 Chinese yuans for every Australian dollar.

A similar question is given at brainly.com/question/23352001

4 0
2 years ago
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