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GuDViN [60]
2 years ago
14

If cos a= 0.93. Sin 0 =0.26, and tan ß = 0.84, find a + B + 0.

Mathematics
1 answer:
julsineya [31]2 years ago
6 0

Answer:

77°

Step-by-step explanation:

From the question given above, the following data were obtained:

Cos α = 0.93

Sine θ = 0.26

Tan β = 0.84

α + β + θ =?

Next, we shall determine the value of α. This can be obtained as follow:

Cos α = 0.93

Take the inverse of Cos

α = Cos¯¹ 0.93

α = 22°

Next, we shall determine the value of θ. This can be obtained as follow:

Sine θ = 0.26

Take the inverse of Sine

θ = Sine¯¹ 0.26

θ = 15°

Next, we shall determine the value of β. This can be obtained as follow:

Tan β = 0.84

Take the inverse of Tan.

β = Tan¯¹ 0.84

β = 40°

Finally, we shall determine the value of α + β + θ . This can be obtained as follow:

α = 22°

θ = 15°

β = 40°

α + β + θ = 22 + 40 + 15

α + β + θ = 77°

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JulijaS [17]

Answer:

? = 4

4 is the number missing on the right.

Step-by-step explanation:

Check out the 8 on left. It has become a 2 on the right. How did that happen?

What do you have to multiply the 2 by to get 8?

Before I answer, check out the 9 on the right. What did you have to multiply it by to get 36? The answer to that is 4 isn't it?

What about the 2. Don't you have to multiply it by 4 to get 8?

36 + 8 = 4(9 + 2) The distributive property on the right will produce the numbers on the left.

So ? = 4

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If f(x) = 2x³ = x² + 3x + 10 and g(x) = x³ + 3x² + 2x + 4, determine when f(x) > g(x).
lesya [120]

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2 years ago
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melomori [17]

Answer:

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Step-by-step explanation:

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What is the area of a triangle whose side is 17 meters long​
Lunna [17]

Answer:

125.141

Step-by-step explanation:

Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.

17 is our hypotenuse

17/2 = 8.5, this is one of our legs

The other leg is our height, which we will find.

We use Pythagoras Theorem to find the height/leg: a^{2} +b^{2} =c^{2}

17^{2} -8.5^{2} = 216.75

\sqrt{216.75} = 14.72243186

Now, we use another formula to find the area of the triangle: \frac{Base*Height}{2}

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3 years ago
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Answer:

A. 8 gallons

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Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required =  Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

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Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

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