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MissTica
3 years ago
7

Parabolic microphones are used for field audio during sports events. The microphones are manufactured such that the equation of

their cross section is x=1/34y^2, in inches. The feedhorn part of the microphone is located at the focus
a. How far is the feedhorn from the edge of the parabolic surface of the microphone?

b. What is the diameter of the microphone? Explain your reasoning

c. If the diameter is increased by 5 inches, what is the new equation of the cross section of the microphone?​
Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

a. 8.5 in.

b. 34 in

c. x = 1/39 x^2.

Step-by-step explanation:

Part a.

x = 1/34 y^2

y^2 = 34x

Comparing with y^2 = 4px where p is the focus:

4p = 34

p = 8.5 in.

Part b.

The diameter = 4p = 34 in.

Part c.

Diameter = 4p = 34 + 5 = 39 in

The new equation is x = 1/39 x^2.

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If alvin sold 60% of his baseball cards, gave away 30% of those that were left, and still had 40 baseball cards in his possessio
kipiarov [429]

Answer:

The number of baseball card to begin with is 143

Step-by-step explanation:

Let The number of baseball cards = x

The number of sold baseball card = 60% of x

                                                         = 0.6 x

The number of left baseball card = x - 0.6 x = 0.4 x

The number of card gave away = 30 % of left cards

                                                     = 0.3 × 0.4 x = 0.12 x

The number of card left in his possession = 40

So, 0.6 x + 0.12 x + 40 = x

Or,  40 = x - 0.6 x - 0.12 x

Or,  40 = 0.28 x

∴   x = \frac{40}{0.28}  =  142.85 ≈ 143

Hence The number of baseball card to begin with is 143  Answer

3 0
3 years ago
A carpenter goes through 3.4 boxes of nails
jeka57 [31]

4.5 boxes of nails are required for finishing 2 tables

Step-by-step explanation:

Given:

3.4 boxes of nails  are required for finishing 1.5 tables

Required:

How much boxes of nails would he use  for finishing 2 tables

Solution:

We can solve using Unitary Method:

Nails needed to finish 1.5 tables = 3.4 boxes

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Nails needed to finish 2 tables = \frac{3.4}{1.5}*2 =4.5\,\,boxes

So, 4.5 boxes of nails are required for finishing 2 tables.

Keywords: Word Problems

Learn more about Word Problems at:

  • brainly.com/question/11007026
  • brainly.com/question/10978510
  • brainly.com/question/10717746

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kumpel [21]

Awnser:

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Well, we know that each side measures 4 inch each.

So, 4(L) x 4(W) x 4(H) = 64.

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Help me for this question ASAP
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Answer:

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Step-by-step explanation:

The cubed root of 8 = 2 because 2³ = 8.

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6 0
3 years ago
A student had taken 7 tests and received scores of 88, 73, 81, 83, 79, 73, and 97.
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Answer:

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