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Allisa [31]
3 years ago
13

What is cotangent of A divided by Tangent of A?

Mathematics
1 answer:
grin007 [14]3 years ago
4 0
tan A =  \frac{1}{cot A} cot A =  \frac{1}{tan A} 

\frac{1}{cot A} / \frac{1}{tanA} =1

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a gas company in massachusetts charges $1.30 for 16.7 ft3 of natural gas. convert this rate to dollars per liter of gas
Katyanochek1 [597]

By using a change of units, we can see that the rate in dollars per liter is:

R = $0.0027 per liter.

<h3>How to convert the rate?</h3>

Here we have a rate in dollars per cubic foot, and we want to rewrite this in dollars per liter. So we just need to apply a change of units.

The original rate is in dollars per square foot, and it is given by:

R = $1.30 for 16.7ft^3

We know that the relation between cubic feet and liters is:

1ft^3 = 28.32 L

Then, if we apply a change of units, we can rewrite the volume as:

16.7ft^3 = 16.7*(28.32) L = 472.9 L

Then the rate is $1.30 per 472.9 L, taking the quotient we get:

R = ($1.30/472.9 L) = $0.0027 per liter.

If you want to learn more about changes of units:

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5 0
2 years ago
NEED HELP ASAP MAKE IT NEAT AND NOT TOO LONG!!!!
Mariulka [41]

Answer:

Step-by-step explanation:

A

(2x - 5)(x + 1)

B)

The x intrcepts occur when the factors equal zero.

2x - 5 = 0

2x = 5

x = 5/2

x = 2 1/2

C

I will give the the minimum from completing the square

y = 2(x - 0.75)^2 - 6.125

as x approaches + infinity, y approaches + infinity.

as x approaches - infinity, y approaches + infinity.

It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.

D

Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.

6 0
3 years ago
Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle
mel-nik [20]

Vic and Dan are 2, 897m apart.

<h3>How to determine the distance</h3>

It is important to note that the distance between Vic and Dan is the base of CN

Let's say the distance to Dan is x

The distance to Vic is y

Using cosine ratio, we have

cos α = opposite / adjacent

α = 72°

opposite = 553. 3cm

Adjacent = x

cos  72° = \frac{553. 3}{x}

Cross multiply

cos 72 × x = 553. 3

0. 3090x= 553. 3

x = \frac{553. 3}{0. 3090}

x = 1, 790. 61 m

The distance to Vic is y

Using the cosine ratio, we have

cos 60 = \frac{553. 3}{y}

Cross multiply

0. 5y = 553. 3

y = \frac{553. 3}{0. 5}

y = 1,106. 6m

To determine how far apart Vic and Dan, we use = x + y

= 1790. 61 + 1106. 6

= 2, 897. 21m

= 2, 897m

Thus, Vic and Dan are 2, 897m apart.

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7 0
2 years ago
If A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs $8. Each additional inch c
nydimaria [60]
8 + 1.5(10-d) + .75t = Total
6 0
3 years ago
I am a 2-digit number. I am a am an even number. The sum of all my digits together is 3. The order of my digits goes smallest to
julia-pushkina [17]

Answer:

12

Step-by-step explanation:

12 = 2 digits

1 + 2 = 3

1 < 2

8 0
3 years ago
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