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djverab [1.8K]
3 years ago
9

Given the triangle below. find the angle 0.

Mathematics
1 answer:
grandymaker [24]3 years ago
4 0

Answer:

Measure of angle θ = 38.7°

Step-by-step explanation:

In the figure attached,

Given triangle has the measure of two legs = 5 units and 4 units

Measure of one angle = θ

By applying tangent rule in the given triangle,

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

        = \frac{4}{5}

        = 0.8

     θ = \text{tan}^{-1}(0.8)

     θ = 38.66

        ≈ 38.7°

Therefore, measure of angle θ is 38.7°.

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Answer:

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Step-by-step explanation:

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3 years ago
The sum of two numbers is 90. the larger number is 6 less than twice the smaller. find the numbers.
lana [24]

Answer:

32 and 58

Step-by-step explanation:

Let's set up equations.

The sum of two numbers (x and y) is 90: x + y = 90

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We have our system of equations:

x + y = 90

y = 2x - 6

Let's use substitution.

Substitute y = 2x - 6 into the first equation.

x + y = 90

x + (2x - 6) = 90

Combine like terms.

x + 2x - 6 = 90

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Add 6 to both sides to isolate x.

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Divide both sides by 3 to further isolate x.

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Now that we know x, let's find y.

Plug in x = 32 into one of our original equations.

y = 2x - 6

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Multiply.

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Now we have x = 32, y = 58.

Check your answer by plugging these values into one of our original equations.

x + y = 90

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Add.

90 = 90

Your solution is correct.

Hope this helps!

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3 years ago
I need help 2t<-4 or 7t>49
grin007 [14]
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t<-2

...

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t=(-oo,-2)U(7,+oo)
8 0
3 years ago
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