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dedylja [7]
3 years ago
14

Which shapes can the composite figure be divided into to find the area?

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0
A rectangle and two triangles
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Determine the exact values of the six trigonometric functions of the real number t
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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}
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Answer: the microphone should be placed 7.5 inches from vertex.
8 0
3 years ago
What is the value of x? <br> (x + 40)° (3x)°<br><br> A. 20<br> B.35 <br> C. 60<br> D. 70
Olenka [21]
Hello!

We are given the equation below.

x+40=3x

We want to get all of the variables on side. First of all let's subtract 40 from both sides.

x=3x-40

Now we rearrange our equation so the commutative property will work.

x=3x+(-40)
x=-40+3x

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-2x=-40

We divide both sides by -2.

x=20

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4 0
3 years ago
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JL = 28,<br> KL= 5x + 6, and<br> JK = 3x + 6,
Alexeev081 [22]

Answer:

KL = 16

Step-by-step explanation:

For this problem, JL is the sum of KL and JK.  So we can say this:

JK + KL = JL

( 3x + 6 ) + ( 5x + 6 ) = 28

8x + 12 = 28

8x = 16

x = 2

So, now we can find KL:

5x + 6 = ?

5(2) + 6 = ?

10 + 6 = ?

16 = ?

So the length of KL is 16.

Cheers.

7 0
3 years ago
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aivan3 [116]

7.

a. This is an equation because it has to parts, separated by an equal sign

b. 5 because 5 is the number b is multiplied by in the first part

c. idk

d. a, b, and c are the variables

e. idk

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8 0
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