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docker41 [41]
3 years ago
8

Find an equation that models a hyperbolic lens with a = 12 inches and foci that are 26 inches apart. Assume that the center of t

he hyperbola is the origin and the transverse axis is vertical.
Mathematics
1 answer:
marta [7]3 years ago
8 0
The general form for a hyperbola with the center at the origin and a vertical transverse axis is:
y2/a2 - x2/b2 = 1

From the given:
a = 12

To get b, we use the given distance between the foci.Since it's 26,
c = 26/2 = 13

Using this defintion:
c2 = a2 + b2
b = sqrt(c2 - a2) = sqrt (13^2 - 12^2) = 5

The equation therefore is:
y2/13^2 - x2/5^2 = 1
or
y2/169 - x2/25 = 1
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What is the cross-sectional area of a wire if its outside diameter is 0.0625 inch?
Leno4ka [110]

Given that the diameter: d= 0.0625 inch.

So, radius of the wire : r = \frac{0.0625}{2} = 0.03125 inch

Now the formula to find the cross-sectional area of wire ( circle) is:

A = πr²

= 3.14 * (0.03125)² Since, π = 3.14 and r = 0.03125

=3.14 * 0.000976563

= 0.003066406

= 0.00307 (Rounded to 5 decimal places).

Hence, cross-sectional area of a wire is 0.00307 square inches.

Hope this helps you!

5 0
3 years ago
Read 2 more answers
If (5⁴)m = 5 ¹²,what is the value of m<br> 2<br><br> 3<br><br> 5<br><br> 8
Lapatulllka [165]
The correct answer is:  [B]:  " 3 " .
_______________________________________________
Note:  
_______________________________________________
The question asks:
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If (5⁴)ᵐ  = 5¹² ;  then what is "m" ?

Note the following property of exponents:
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   (xᵃ)ᵇ = x⁽ᵃ*ᵇ⁾ ; a≠0 ; b ≠ 0 ;  

Then,  (5⁴)³ = 5⁽⁴ * ³⁾ = 5¹² .

So, "12 ÷ 4 = 3" .
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The answer is:  "m = 3" ; which is:  Answer choice:  [B] .
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5 0
3 years ago
Refer to the equation 2x − 6y = 12.
Umnica [9.8K]
(-1,3) (0,6) (1,9) (2,12) and (3,15)

The pattern is up 1 over 3
4 0
3 years ago
Bill is planning a trip from detroit to london with a stopover in new york. his flight to new york is 2 hours long. if his stopo
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He will land in london at 1am

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3 years ago
Six less than a number a 7 times a number is 85
77julia77 [94]

Answer:

7x-6=85

Step-by-step explanation:

7×number for example x

then subtract 6 from that

then you have 85

8 0
3 years ago
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