a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed
Answers
Answer:
10π
Step-by-step explanation:
First, remember the formula for the circumference of a circle is C= 2πr. Then remember that the diameter is twice the radius.
So here, when we have a diameter of 10ft, and we see the formula for circumference is C= 2πr, and because a Diameter is equal to 2 radii, I can also say C= Dπ. So in your case C= 10ft×π = 10ftπ
Related Questions
Lila planted a tree in her backyard. She made a graph to show the tree growth over 5 years.
1) What does the slope mean in real life in the context of the problem?
2) What does the y-intercept mean in real life in the context of the problem?
Answer in complete sentences.
Answers
Answer:
1. Growth rate of tree 3 ft per year, 2. Beginning height of tree 5 feet, rise/run = 3/1 = 3
Step-by-step explanation:
The solution is
1) The slope of the graph m = 3 represents the growth of the tree per year
2) The y-intercept means the initial height of the tree , when x = 0
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 3 , 14 )
Let the second point be Q = Q ( 1 , 8 )
Now , the slope of the two points on the line is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 14 - 8 ) / ( 3 - 1 )
Slope m = 6/2
Slope m = 3
Therefore , the slope is 3 feet per year
b)
The y intercept is calculated from the equation of line , when x = 0
So , the equation of line is given as
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 14 = 3 ( x - 3 )
On simplifying the equation , we get
y - 14 = 3x - 9
Adding 14 on both sides of the equation , we get
y = 3x + 5
Now , when x = 0
y = 3 ( 0 ) + 5
y = 5 feet
From the graph we can see that , at 0 years the initial height of the tree is also 5 feet
Therefore , the y intercept is 5 feet
Hence , The slope of the equation is 3 and y intercept is 5
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what comes after this:
2:4
4:8
8:10
_:_
Hint: Times two (x2) if you answer right then you shall get 30 points which is half of mine
You answer it you get 15 points so answer away
Answers
Answer:
16:20??
Lol I think it's wrong sorry.
Step-by-step explanation:
HELP MEEEE PLEASEEEE!!!!!
The graph of the step function g(x) = -x] + 3 is
shown.
What is the domain of g(x)?
5
O {xx is a real number}
O {x|x is an integer}
O {XI-2 s x <5)
O {xl-1 sxs5}
Answers
Answer:
{x| -2 ≤ x < 5}
Step-by-step explanation:
The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C
Look here for visuals:
The domain of the step function g(x) is (c) {x I -2 <= x <5 }
The domain of a function is the set of input values the function can take.
From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle
The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values
Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }
Read more about domain at:
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Complete the table for the given rule.
Rule: y=x-1/4
Answers
Use an area model to find the quotient: 132 ÷ 3 = ________.
Answers
Answer:
44
Step-by-step explanation:
How i can usea the distribute property on this equation?
Answers
Answer:
9(3-2r)
Step-by-step explanation:
27-18r the greatest common factor between 27 and 18 is 9. therefore, we can factor 9 out.
9(3-2r)
Hope this helps.
Answer:
9(3-2r)
Step-by-step explanation:
After Donovan gives Mabel 6 pears, she has
(x + 6) pears. If Mabel gives one-third of her
pears to Nelson, how many pears, in terms
of x, does Nelson have?
Answers
Answer:
see explanation
Step-by-step explanation:
Mabel has (x + 6) pears , then Nelson has
[tex]\frac{1}{3}[/tex] (x + 6) = [tex]\frac{1}{3}[/tex] x + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
After Donovan gives Mabel 6 pears, she has (x + 6) pears.
If Mabel gives one-third of her pears to Nelson. Then the number of pears that Nelson has in terms of x will be calculated as,
⇒ (x + 6) / 3
Simplify the equation, then we have
⇒ (x + 6) / 3
⇒ x / 3 + 2
The number of pears that Nelson has in terms of x will be x / 3 + 2.
More about the Algebra link is given below.
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what is the approximate value of a local maximum for the polynomial
Answers
Answer:
D) 2.5
Aaliyah- ツ
The area of a triangle is 30 square inches.
The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh
x=
base=
height=
Answers
Answer:
x=10
base=4inches
height=15inches
Step-by-step explanation:
A=1/2bh
30=1/2(x-6)(x+5)
60= x²+5x-6x-30
x²-x-90=0
x²-10x+9x-90=0
x(x-10) +9(x-10)=0
(x+9)(x-10)=0
x= -9 or 10
x cannot be negative
Therefore x= 10
base= 10-6
=4inches
height=10+5
=15inches
Guys, please help me faster will receive a Brainliest award if you answer my 2 of the math questions with the best given answers with the best step-by-step explanations, so here is an image for you to answer my 2 of the math questions as soon as possible. Well anyways, good luck on answering my 2 of the math questions and I will check the answers to see if it’s appropriate! :)
Answers
Answer:
Question 10.
Length of the side of the square = [tex]\sqrt{441} = 21[/tex]
By Pythagoras' Theorem,
Hypotenuse = [tex]\sqrt{21^{2} + 20^{2} }[/tex] (H > 0)
= 29 m
Ans: 29 m
Question 11.
By Pythagoras' Theorem,
Length of longer side of 42 km = 42- [tex]\sqrt{18^{2} - 15^{2} }[/tex] (L > 0)
= 32.050 km (5 s.f.)
By Pythagoras' Theorem,
Length of the unknown side = [tex]\sqrt{32.050^{2} + 15^{2} }[/tex] (L > 0)
= 35.4 km (3 s.f.)
Ans: 35 km
Express the perimeter of the following
rectangle in terms of n.
3n-7
n + 5
1. O 4n - 2
2. O 8n - 14
3. O 8n - 4
4. O 6n - 14
Answers
Answer:
8n - 4.Step-by-step explanation:
Perimeter: 2B + 2L=> 2(3n - 7) + 2(n + 5)=> 6n - 14 + 2n + 10=> 8n - 4Conclusion:
Therefore, the perimeter in terms of n is 8n - 4.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
its A
Step-by-step explanation:
Describe how total job benefits and total employee compensation differ
Answers
Answer:
in my opinion they do not.
Step-by-step explanation:
Answer: Total compensation is everything the company provides an employee in exchange for working. It includes base salary, bonuses, benefits, perks and on-site amenities.Total compensation indicates that an employee is making two or three times his base salary.
Find the quotient of 3,976 ÷ 28 = ________. Use the partial quotients strategy to help you.
Answers
Answer:
142
Step-by-step explanation:
Hope this helps
Please help me Find the slope please no links or bots please and thank you please actually help me please
Answers
To find slope, you have to use Rise over run
For this example, you would go down One and Run 2 so it’s -1/2
Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know how many hours (h)(h)left parenthesis, h, right parenthesis she could have kept the fire going with 9 logs. She assumes all logs are the same.
How many hours can Jovie keep the fire going with 9 logs?
Answers
Answer:
Step-by-step explanation:
101010:151515 is the same as 2:3 or 2 logs for 3 hours. Using that you can set up your equation as such:
2:3
x:9
And then multiply across:
2x9 = 3x
18/3 = x
6 = x
Jovie can keep the fire running for 6 hours with 9 logs.
Another way to do this is to divide the log numbers, 9/3 = 3, and then multiply the hours by this number, 2x3 = 6.
Hope that helps
how to find the circumcenter of a triangle with given vertices
Answers
Answer:
What is the formula of area of Circumcircle?
Image result
We know that area of circle = π*r2, where r is the radius of given circle. We also know that radius of Circumcircle of an equilateral triangle = (side of the equilateral triangle)/ √3. Therefore, area = π*r2 = π*a2/3.
Step-by-step explanation:
In the figure given below CP=x+3, PA=3x+19, CQ=x and QB=3x+4 then, what value of x will make PQ || AB?
Topic:CBSE board Class 10
Correct answer will be mark as brainliest.
Answers
Given that
PQ || AB
CP = x+3
PA = 3x+19
DC = x+3
CA = x
QB = 3x+4
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (3x+19) / (x+3) = (3x+4) / x
On applying cross multiplication then
⇛ x(3x+19) = (3x+4)(x+3)
⇛ 3x²+19x = 3x(x+3)+4(x+3)
⇛ 3x²+19x = 3x²+9x+4x+12
⇛ 3x²+19x = 3x²+13x+12
⇛ 3x²+19x-3x²-13x = 12
⇛ (3x²-3x²)+(19x-13x) = 12
⇛ 0+6x = 12
⇛ 6x = 12
⇛ x = 12/6
⇛ x = 2
∴ , x = 2
Answer: The value of x for the given problem is 2
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".
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A basket contains four apples, three pears, two peaches, if we draw one fruit from the basket, what is the probability of getting a peach or an apple?
Answers
Answer:
The probability of getting a peach or an apple is 2/3.
Step-by-step explanation:
There are two peaches and four apples, so six fruits we want to know the probability of getting, and there are also three pears, which means we have nine fruits total. The chance of getting an apple or a pear is six out of nine, which simplifies to two out of three.
Solve: x ÷ 0.6 = 8.9
5.34
9.5
8.3
0.07
Answers
Answer:
5.34
Step-by-step explanation:
x = 8.9 X 0.6
x = 5.34
Your welcome :)
What are the steps to convert a number from standard notation to scientific notation
Answers
Answer:
Step-by-step explanation:
Let's take 4200 as an example.
To convert 4200 into scientific notation, follow these steps:
- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10
- Since we moved the decimal to the left the exponent n is positive
n = 3
- Write in the scientific notation form, m × 10^n
= 4.2 × 10^3
Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.
You use a juice mix to make orange juice.
You combine 12 ounces of the mix with 36 ounces of water.
What is a unit rate that describes your juice?
Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?
Answers
Answer:
1. Ounces
2. 62 miles per hour
Step-by-step explanation:
1. 12 OUNCES and 36 OUNCES
2. 496/8 = 62 (check 62x8 = 496)
Factor the expression completely: x3 - 48x
Answers
Answer: The answer is X(X^2 - 48).
A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Which expressions represent the total amount Jordan will receive if he sells n games that originally cost d dollars each? Select two options.
d (n minus 18)
n (d minus 18)
d + n minus 18
d n minus 18 n
18 n minus d n
Answers
Answer:
d
Step-by-step explanation:
I already did this before
Answer:
it B and D
Step-by-step explanation:
7. Explain what step was taken to go from the first equation to the second equation.
step 1: 2(x - 4) = -12
step 2: 2x - 8 = -12
A. Distribute the 2 on the left side of the equation.
B. Subtract both sides by 4.
C. Divide both sides by 2.
D. Add 4 on the left side.
Answers
Option A
your just multiplying the 2 to what's in parentheses
Second part to my question ToT Plz help Double points :D
Answers
Answer: 3
Step-by-step explanation:
V=whl
Find the area of each figure
Answers
Answer:
54
Step-by-step explanation:
.5*9*12
Explanation ~
B•h/2
9•12=108
108/2=54
:)
Plz Heeeeelp! 25 POINTS! I'm so desperate I made two of these worth 25 points!
Answers
Answer:
The answer is B, f(x)=5(2/5)^(z)
Step-by-step explanation:
I did the graphs for all of them and graph B was identical to the one in the picture.
Answer:
(b) f(x) = 5(2/5)^x
Step-by-step explanation:
All of the offered choices agree that the multiplier of the exponential factor is 5. When x=1, the exponential factor must have a value of 2/5 in order to make the function value be 2 at that point.
That is, ...
f(1) = 5(2/5)^1 = 5(2/5) = 2
You can get there either by using x=1 in each of the offered answer choices, or by observing that the ratio between f(1) and f(0) is 2/5.
f(x) = 5(2/5)^x
I NEED HELP ASAP. PLEASE AND THANK YOU
Answers
Answer:
1, 2, and 5
Step-by-step explanation:
A car travels 220 miles in 3 hours 20 minutes. What is its average speed?
Answers
Answer:
66 miles per hour
Step-by-step explanation:
average speed = distance / time
distance : 220 miles
time : 3 hours 20 minutes or 3.33 hours
220 miles / 3.33 hours = 66 miles per hour
PLEASE ANSWER ASAP
Which graph
Answers
Answer:
graph 4
Step-by-step explanation: