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Ronch [10]
3 years ago
5

Select the correct answer from each drop-down menu. Complete the statement. The solutions of sin2x= √3/2

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

henc X = 30°

Step-by-step explanation:

here is the proof

when X=30° then

sin2x = sin2×30

=sin 60°

= √3/2

or else,

putting value of X = 30° then

sin2x= 2sinxcosx

= 2×sin30°×cos30°

=2×1/2×√3/2

= 2√3/4

= √3/2

hence proved sin2x= √3/2.

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A tree casts a shadow of 20 meters when the angle of elevation of the sun is 24°
melamori03 [73]

The height of the tree is 9 meters

<h3>What is angle of elevation?</h3>

This is the angle the line of sight makes with the horizontal.

Analysis:

The line of sight , the shadow length and height of tree form right angled triangle.

Let the height of tree be h

so that, tan 24 = h/20

h = 20 tan 24

h = 20(0.445) = 8.9m = 9m

In conclusion, the height of the tree is 9m.

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5 0
2 years ago
Reina and Sam are multiplying (84)5 (73)9 Is either of them correct? Explain your reasoning.
sattari [20]
They are both wrong because 84*5 equals 420 times 657 equals 275940 and84 plus 573 plus 9 is 666
6 0
3 years ago
You have combined different polygons to create a polyhedron to approximate a sphere. The sum of all the faces of the polyhedron
aalyn [17]

Since the polyhedron is about 78.5 m², the radius of the sphere is 2.5 m

Since the sum of the faces of the polyhefron equals the surface area of the sphere, we find its surface area.

<h3>What is the surface area of sphere?</h3>

The surface area of sphere is given by A = 4πr² where r = radius of sphere

<h3>Radius of the sphere</h3>

Making r subject of the formula, we have

r = √(A/4π)

Given that he sum of all the faces of the polyhedron is about 78.5 square meters, this is equal to the surface area of the sphere.

So, A = 78.5 m²

Substituting this into the equation for r, we have

r = √(A/4π)

r = √(78.5 m²/4π)

r = √(19.625 m²/π)

= √(6.246 m²)

= 2.499 m

≅ 2.5 m

So, the radius of the sphere is 2.5 m

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brainly.com/question/13458041

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4 0
3 years ago
Find three consecutive positive even integers such that 4 times the first decreased by the second is 12 more than twice the thir
Savatey [412]

Answer:

Step-by-step explanation:

n-2, n, n+2

4(n-2) - n = 12 + 2(n+2)

4 n - 8 - n - 12 - 2n - 4 = 0

n - 24 = 0

n = 24

22 , 24, 26

3 0
3 years ago
Rectangle QRST has coordinates Q(-3, 7), R(-3, 11), S(4, 11), and T(4,7)
kipiarov [429]
Q’= (-6,21) R’=(-6,33) S’=(12,33) T’=(12,21) the scale factor is 3 so you multiply the coordinates by 3. It is an enlargement
3 0
3 years ago
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