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
Marrrta [24]
3 years ago
10

3. The diameter of the large bird bath is 6 feet. The CGJ girls plan to put bird perches around the outside edge of the bath suc

h that there is at least 3 feet between the perches. At most, how many perches will they be able to install?
Mathematics
1 answer:
Leokris [45]3 years ago
7 0
First we need to determine the circumference of the bath.

Circumference = Diameter X pi 

6(pi) = 18.84 feet

and the girls want to put perches that are at least 3 feet between each other so you can just divide the circumference by 3 

18.84 / 3 = 6.28 so 6

If you don't understand the concept then think of it like this, if you have in total 18.84 feet and you want to place something down every 3 feet then start subtracting 3 from your total till you can't add anymore perches. 

18 - 3 = 15
15 - 3 = 12
12 - 3 = 9
9 - 3 = 6
6 - 3 = 3
3 - 3 = 0

We subtracted 3, SIX times so we added 6 perches
You might be interested in
Which is a greater y-intercept (0,-1) or (0,-2)
kolezko [41]

Answer:

(0,-1)

Step-by-step explanation:

-1 is less than -2 so -1 have a greater value since it is closer to the origin (0,0)

3 0
3 years ago
Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f
erastovalidia [21]

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

f(t) = -(t^2-6t-5) and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)} and

t=\frac{6+-\sqrt{36+40} }{2} and

t=\frac{6+-\sqrt{56} }{2} so the 2 solutions are

t=\frac{6+\sqrt{56} }{2}=6.74sec and

t=\frac{6-\sqrt{56} }{2}=-.742sec and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

-8(t^2-6t)=-40 Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

-8(t^2-6t+9)=-40+??

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

-8(t^2-6t+9)=-40-72

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

-8(t-3)^2=-112

For the last step, add over the -112 and set it back equal to f(t):

-8(t-3)^2+112=f(t) From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

6 0
2 years ago
Hayden is comparing the regular attendance of two karate clubs he draws the following pie charts?
Gala2k [10]

Answer: A) B.

B) D.

C) D.

Step-by-step explanation: It’s easy, next time show the people the image of the question, because how do you expect us to answer it?

6 0
3 years ago
86° 34° Х X = ____ degrees help quick pls​
Rufina [12.5K]

Answer:

60 degrees

Step-by-step explanation:

The angles all have to add up to 180, so you can do

34 + 86 +x = 180\\120 + x = 180\\x = 60

3 0
3 years ago
Read 2 more answers
Which are the like terms in 2y^3 – 4y^2 + y + y^3?
mash [69]
Like terms are going to have the EXACT same variables....or they can just be constants with no variables.

x^2 and 3x^2 are like terms
x^2 and x^3 are not like terms
8 and 9 are like terms
8x and 9y are not like terms

so ur like terms in ur problem are : 2y^3 and y^3
7 0
3 years ago
Other questions:
  • What is the sum of 93+(68+7) using
    9·2 answers
  • Explain how you can use multiplication to find the quotient 3/5 divided by 3/15. Then evaluate the expression
    9·1 answer
  • The original price of a jar of paint is$1.20 the store manager gets a 10 percent discount on orders of at least 50 jars of paint
    12·1 answer
  • Joe read 140 pages of his 300 page book what percent of his book has he read
    8·1 answer
  • 9x+3x-10=3(3x+x) identity or solution
    7·2 answers
  • Calculate the length of the unknown side of each triangle.
    8·1 answer
  • A large university accepts 60% of the students who apply. Of the students the university accepts, 25% actually enroll. If 10,000
    7·1 answer
  • 54 =. x6 picture included
    8·1 answer
  • Write an integer to represent a temperature of 2,500 above sea level
    9·1 answer
  • A new outlet is being planned with an allocated budget of $50,000 per month for advertising and planned average price of $10.00
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!