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Veronika [31]
3 years ago
14

Tan2(θ) − 3 = 0 Find all solutions for the given equation.

Mathematics
1 answer:
kondaur [170]3 years ago
4 0
Hello :
tan²(θ) = 3.. equi : tan(θ) = √3  or tan(θ) = -√3
1 ) tan(θ) = √3
tan(θ) = tan(<span>π/3)
</span>θ = π/3 +kπ  k in Z
2)tan(θ) = -√3
tan(θ) = tan(-π/3)
θ = -π/3 +kπ  k in Z


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3 years ago
△HFM∼△PST
loris [4]

Answer:

The perimeter of △HFM is 50.75 units

Step-by-step explanation:

<u><em>The correct picture of the question in the attached figure</em></u>

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

we have

△HFM∼△PST ----> given problem

step 1

Find the scale factor

Let

z ----> the scale factor

z=\frac{HF}{PS}

substitute the given values

z=\frac{14}{8}=1.75

step 2

Find the perimeter of triangle PST

Remember that the perimeter of a triangle is the sum of its three length sides

P=8+9+12=29\ units

step 3

Find the perimeter of triangle HFM

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

so

The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor

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29(1.75)=50.75\ units

6 0
3 years ago
The area of rectangle ABCD is 28 cm^2
Sonbull [250]

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

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Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

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x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

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Find out more at: brainly.com/question/15019502

8 0
2 years ago
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1

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5 0
3 years ago
how to find the area of each circle. use a calculator value of pi. round the answer to the nearest tenth
tankabanditka [31]

Answer:

A = 201.0 mi^2

Step-by-step explanation:

The area of a circle is given by

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A = 201.0 mi^2

8 0
3 years ago
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