1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
How do I solve for y?
vivado [14]
Short Answer: y = 36°
Remark
What an interesting question!! The first thing you have to do is find out what the interior angle of a regular pentagon is. After you have done that, you can calculate y.

Method.
The exterior angles of a regular figure add up to 360°. 

Step One

Find out the size of the exterior angles of a  regular pentagon. 
There are 5 such angles. They add up to 360°

5x = 360  Divide by 5
x = 360 / 5
x = 72°

Step Two
Find out the value of the interior angles of a pentagon.

Method
The interior and exterior angles add up to 180°
Exterior Angle + Interior Angle = 180°
Exterior angle = 72 degrees
72° + Interior Angle = 180°                  Subtract 72 from both sides.
Interior Angle = 180° - 72° 
Interior Angle = 108°

Step Three
Solve for y.

There are 3 tiles each with an angle of 108° that are placed together. So y + 3 interior angles = 360°

y + 3*interior angles = 360°
y + 3*108 = 360 
y + 324 = 360 Subtract 324 from both sides.
y = 360 - 324
y = 36°

7 0
3 years ago
A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
Rudik [331]
It takes 1 cup of flour.
8 0
3 years ago
Read 2 more answers
Diego examines his spending and discovers that when he took his new job, he also started buying
asambeis [7]

Answer:

He will save 24 dollars.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Jamie is buying tickets to a movie. How many $6 tickets can he buy if he wants to spend less than $36
Margaret [11]

Jamie can only buy 5 tickets priced at $30 total because if he buys one more he is no longer spending less than $36

8 0
3 years ago
Mark and his three Friends ate out at Applebees's . Their bill totaled % 52.35 . If they left a 20% tip how much would each pers
malfutka [58]

Answer:

Each person would pay $15.71

Step-by-step explanation:

First we can calculate how much everyone ate by multiplying the bill amount by 120% (20% tip and 100% of the bill).

$52.35 * 120% = $62.82

Now to find out how much each pays, we have to divide that cost by the number of people (4).

$62.82/4 = $15.71

7 0
3 years ago
Other questions:
  • Cristina bought a bag of coffee for $8.47. The weight of the bag was 7/8 of a pound. What was the price, per pound, of the coffe
    9·2 answers
  • What is the solution to the system of equations?
    7·1 answer
  • In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel
    10·1 answer
  • FIFTY POINTS AND BRANLIEST pls help!!
    8·2 answers
  • Evaluate -5 exponent 3
    14·1 answer
  • Simplify: 42x^7-(-11x^7)
    5·2 answers
  • Which postulate or theorem justifies this statement: ∠ 11 + ∠ 10 = 180°
    7·1 answer
  • Could someone please help me
    14·2 answers
  • What is the value of tan A?<br><br><br>A: 6/8<br><br>B: 6/10<br><br>C: 8/6
    5·2 answers
  • A floor 3.2m long and 2.8 m wide is to be covered with square shaped tiles of length 10cm. Find the coast of flooring if the coa
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!