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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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Answer:

The volume of water bottle Francisco takes to school = 1.0048 liters

Step-by-step explanation:

The dimensions of the water bottle are given :

The Height of the water bottle is 20 cm  

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The Radius of the water bottle is 4 cm

⇒ r = 4 cm

⇒ Volume of the water bottle = π·r²·h

⇒ Volume = 3.14 × 4² × 20

⇒ Volume = 1004.8 cm³

Now, 1000 cm³ = 1 liter

⇒ 1004.8 cm³ = 1.0048 liter

Hence, The volume of water bottle Francisco takes to school = 1.0048 liters

3 0
3 years ago
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7nadin3 [17]

ax - b = c

add b to each side

ax-b +b = c+b

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divide by a

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x = (c+b)/a


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3 years ago
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If you multiply a number by 3 and divide by 4 the result is 24. what is the number?
solong [7]
To solve this problem, we are going to set up an equation.  Let the number that we are trying to find be represented by the variable x.  If we plug in the numbers that we know, we get the following equation:

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To simplify this equation, we need to multiply both sides by 4, to begin getting the x alone on the left side of the equation.

3x = 96

Finally, we need to divide both sides by 3, to get rid of the coefficient that is being multiplied to x.

x = 32

Therefore, the number that you are trying to find is 32.
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3 years ago
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You did not provide us with equations to select.

Find the slope m.

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y - 1 = (-1/4)(x - 3)

Isolate y.

y - 1 = (-1/4)x + (3/4)

y = (-1/4)x + (3/4) + 1

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Did you follow?

5 0
3 years ago
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What is 5/6 of 3/4 ?
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Answer:

Exact Form: 5/8

Decimal form: 0.625

Hope this helps

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