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brilliants [131]
3 years ago
15

Which of the following is equivalent to [sin (2θ) − tan (θ)] / tan (θ) ?

Mathematics
1 answer:
ella [17]3 years ago
8 0
Hope this helps you!

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I need help on 5 and 6
Blizzard [7]

5. 4 rows of circles with 4 columns of circles


6. A Hexagon with 4 circles

8 0
3 years ago
Find the LCM of 24,36
Marta_Voda [28]

Answer:

LCM of 24, 36  = 72

Step-by-step explanation:

24 = 24, 48, 72, 96

36 = 36, 72, 109

6 0
3 years ago
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
Hatshy [7]

Answer:56.8 inches

Step-by-step explanation:

For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.

the triangle is cut directly in half so both halves of the base are 17/2

17/2 = 8.5

solve through pythagoren theorum

altitude^2 + (half of base)^2 = (diagonal length)^2

18^2 + (8.5)^2 = (diagonal length)^2

324 + 72.25 = (diagonal length)^2

396.3 = (diagonal length)^2

\sqrt{396.3} = diagonal length

diagonal length = 19.9

diagonal length + diagonal length + base = perimeter

19.9 + 19.9 + 17 = perimeter

56.8 inches = perimeter

6 0
3 years ago
A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing
Marizza181 [45]
Set up a proportion.

pounds / milligrams of medicine

195/279 = 130/x

195x = 279 times 130
195x =36,270
x = 36,270/195
x = 186

A patient weighing 130 pounds needs 186 milligrams of medicine.
6 0
3 years ago
4. The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed
elixir [45]
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30)  The x-intercepts or zeros are at (-30,0) and (30,0)

The equation of such parabola would be:
y = a(x+30)(x-30)
Plug in vertex to find value of 'a'
-30 = a(0+30)(0-30) \\  \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}

Now find the focus given that p = \frac{1}{4a}
p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5

Answer: the microphone should be placed 7.5 inches from vertex.
8 0
3 years ago
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