bre563
19.07.2019 •
Mathematics
Surfboard company would like to design a new long board in the shape of an ellipse. the surfboard should be 8 feet long and 2 feet wide. find the equation of the surfboard. assume that the center is located at 0,0 , that the surfboard is lying on the ground horizontally, and that one foot is equivalent to one coordinate unit.
Solved
Show answers
More tips
- O Other Childhood Fears: What Many of Us Experienced...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- L Leisure and Entertainment What to Bring on a Hike? Essential Items to Pack for a Safe and Enjoyable Adventure...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- S Style and Beauty Autotanning: Harmful or Safe?...
- F Food and Cooking 10 Ideas for a Wedding Anniversary Gift...
- H Health and Medicine How to Reduce Sweating in the Heat and Beyond: Say Goodbye to Excessive Sweat...
- F Food and Cooking Do Aphrodisiacs Really Work? Separating Fact from Fiction...
- H Health and Medicine What to Eat to Lose Weight?...
- A Animals and plants How to Teach Your Parrot to Talk?...
Answers on questions: Mathematics
- M Mathematics Determine if the expression mº is a polynomial or not. If it is a polynomial, state the type and degree of the polynomimal....
- M Mathematics In which of the expressions below will x = 12.5? Select allthat apply.A) 4x --- = 5 10B) 6.5 + x = 19C) 88–12 = 96D) 2x : 5=5E) 2(x + 4) = 37...
- M Mathematics Zaproszenie na spektakl Felix Net i Nika oraz Gang Niewidzialnych Ludzi....
- M Mathematics Jessica will live for two periods. She is only able to work in the first period, when she earns $100. The interest rate between the first and second period is r, meaning that if she...
- M Mathematics Consider the function given by f(x) = 2 x 3 + 3 x 2 − 36 x . (a) Write the entire word TRUE or FALSE and justify your choice. TRUE or FALSE: Since the given f is increasing at both...
- M Mathematics Jenna s rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize its area?...
- M Mathematics Frankie Kowalski drove his jeep for 135moles on a paved road. he decreased his speed by 25 mph when he went on a dirt road. He traveled for 40 miles on the dirt road. If frankie drove...
- M Mathematics 62.4 is 48% of what number ?...
- M Mathematics Isaac has already saved $2,200. He plans to save $500 per month until he has enough money to buy a car. How many months must Isaac save money if he wants to buy a car that costs $7,400?Write...
- M Mathematics F(x) = 3x - 8 over the interval-2 Sx 36 average rate of change...
Ответ:
Width: W=2 feet
Center is located at 0,0 → C=(0,0)=(h,k)→h=0, k=0
The surfboard is lying on the ground horizontally:
x^2/a^2+y^2/b^2=1
L=2a→2a=8 feet
Solving for a:
2a/2=(8 feet) / 2
a=4 feet
W=2b→2b=2 feet
Solving for b:
2b/2=(2 feet)/2
b=1 feet
Replacing a=4 and b=1 in the equation (1):
(1) x^2/a^2+y^2/b^2=1
x^2/4^2+y^2/1^2=1
x^2/16+y^2/1=1
x^2/16+y^2=1
Equation of the sufboard:
x^2/16+y^2=1
Ответ: