![helpmeplzandty](/avatars/23668.jpg)
helpmeplzandty
27.08.2019 •
Mathematics
Ten dartboard targets are being painted as shown in the following figure. the radius of the smallest circle is 3in. and each successive, larger circle is 3in. more in radius than the circle before it. a “tester” can of red and of white paint is purchased to paint the target. each 8oz. can of paint covers 16ft2. is there enough paint of each color to create all ten targets? show your work
Solved
Show answers
More tips
- F Food and Cooking How to Determine Healthy, Nutritious Food for Yourself?...
- S Style and Beauty How to Get Rid of a Bruise: Tips and Tricks...
- F Food and Cooking Лечо: вкусное и простое блюдо для любой кухни...
- H Health and Medicine Relieving Swelling in Legs: Causes and Ways to Alleviate the Symptom...
Answers on questions: Mathematics
- M Mathematics If the measure of each angle of a regular polygon is 174 degrees, then the measure of each exterior angle is??...
- M Mathematics Write an equation Damari is making bracelets for her a craft fair. She is making 3 bracelets a day....
- M Mathematics A line is perpendicular to the line y=8, and has an x-intercept of 2. Write an equation of this line....
- M Mathematics What is the equation in point slope form for the line parallel...
- M Mathematics Question in the picture. HELP! please...
- M Mathematics Please help me solve this problem...
- M Mathematics Every 8th customer gets a $50 gift certificate. $50 $10. Every 6th customer gets a \$10 gift certificate. To celebrate its grand opening, a store is giving customers gift...
- M Mathematics Where does -1/2 go on the number line...
- M Mathematics What is the value of x? X=...
- M Mathematics Please help quick im begging...
Ответ:
The area to paint in white is the middle circle.
Its area is therefore the area of a circle of radius 2*3in minus the area of the red circle inside, which is 3 in (see the attached picture).
Hence the area to paint is A=pi(2*3)^2-pi(3)^2=pi(36-9)=27pi sq in.
Using pi~3.14, A=84.78 square inches
One square inch is approximately 0.006944 square feet hence A=84.78*0.006944=0.5887 square feet.
There are 10 targets to paint thus the total area to paint is 5.887 square feet.
Now for the read area : the read area is the total target's area minus the white area.
Total area of one target : pi*(3+3+3)^2=81*pi~254.34 sq in=1.766 square feet
Hence for 10 targets the total area is 17.66 square feet.
Thus the total area to paint in red is 17.66-5.887=11.773 square feet
You can paint 16 square feet of each paint, hence you have enough paint to do your work.
Ответ: