The circumference when the area of a circle is 16π ft² is 8π feet.
How to calculate the area?The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.
From the information given the area of a circle is 16π ft² be we want to calculate the circumference, in feet. This will be Illustrated this:
Circumference of a circle = 2πr
Area of a circle = πr²
r = radius.
Therefore, based on the information regarding the area given, the radius will have to be calculated first.
Area = 16π
πr² = 16π
r² = 16π / π
r² = 16
r =✓16
r = 4
Radius = 4ft.
Therefore, the circumference will be:
= 2πr
= 2 × π × 4
= 8π
Circumference is 8π feet.
Learn more about area on
brainly.com/question/25292087
#SPJ1
A coin purse contains d dimes and q quarters. There are 35 coins in the purse, and the total value of the coins is $5.60. Create the system of linear equations and use it to find how many dimes and quarters are in the purse.
Answer:
14 dimes, 21 quarters
Step-by-step explanation:
Represent dimes with d and quarters with q.
So: 35 coins means
[tex]d + q = 35[/tex]
1 dime = $0.10 and 1 quarter = $0.25. So, a value of $5.60 means
[tex]0.10d + 0.25q = 5.60[/tex]
So, the system of equations is:
[tex]d + q = 35[/tex]
[tex]0.10d + 0.25q = 5.60[/tex]
Make d the subject in [tex]d + q = 35[/tex]
[tex]d = 35 - q[/tex]
Substitute 35 - q for d in [tex]0.10d + 0.25q = 5.60[/tex]
[tex]0.10d + 0.25(35 - q) = 5.60[/tex]
Open bracket
[tex]0.10d + 8.75 - 0.25q = 5.60[/tex]
Collect Like Terms
[tex]0.10d - 0.25q = 5.60 - 8.75[/tex]
[tex]-0.15q = -3.15[/tex]
Solve for q
[tex]q = \frac{-3.15}{-0.15}[/tex]
[tex]q = 21[/tex]
Substitute 21 for q in [tex]d = 35 - q[/tex]
[tex]d = 35 - 21[/tex]
[tex]d = 14[/tex]
Select all the equations for which (-6,-1) is a solution. *
y = 4x + 23
3x = (1/2)y
2x + 6y = -6
2x - 13y = 1
5.3 - 4.2
What does this equal
the answer is 1.1
i hoped this help
The number of incidents in which police were needed for a sample of 10 schools in one county is:
6
40
49
4
42
47
17
8
32 11
Find the first and third quartiles for the data.
Part: 0/2
Part 1 of 2
First quartile Q, is
Answer:
3Step-by-step explanation:
expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and
Cannnn SOMEONE HELP PLEASEEE
Answer:
C
Step-by-step explanation:
Which graph represents the solution to the compound inequality?
–6 < 3x – 12 ≤ 9
Answer:
second graph
Step-by-step explanation:
Solving the inequality
- 6 < 3x - 12 ≤ 9 ( add 12 to all 3 intervals )
6 < 3x ≤ 21 ( divide the intervals by 3 )
2 < x ≤ 7
The graph has an open circle at 2 and a closed circle at 7
This is represented on the second graph
What is the value of y?
40°
y +30
A. 1100
B. 10°
C. 55°
D. 850
Answer:
the answer is c or 55
Step-by-step explanation:
good luck on your quiz!
A rectangular glass window is divided into two equivalent right triangles by a diagonal brace. What is the length of the diagonal brace?
A. 9 inches
B. 12 inches
C. 15 inches
D. 21 inches
Answer:
15
Step-by-step explanation: 9 square plus 12 squared equal 225 and then find the square root of 225 which equals 15
factor the expression 9r2-4
Answer: Hieee! So the answer to this problem is (3r-2)(3r+2) I think...
Step-by-step explanation:
Answer:
9(r - 5)(r - 1)
Step-by-step explanation:
A (Decode this message)
Answer:
don't cry because it is over smile because it happened
Step-by-step explanation:
The distance between two cities on a map is 4 Inches. The actual distance between the two citles is 24 miles.
a. What is the scale used on the map?
b. If the scale on a different map of the same area Is Inch = 1 mlle, how many Inches separate the same two cities?
PLEASE HELP ILL MARK AS BRAINLIEST!!!!
Maria louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 9 vertices, the second shape has 13 vertices, and the third shape has 17 vertices.
If maria louisa assumes that the number of vertices in the sequence of the shapes follows the same pattern, how many vertices would she expect the 24 shape to have?
A)87
B)97
C)101
D)105
E)109
Answer:
105
Step-by-step explanation:
add 9 then multiply 24 x 4 = 96 then do 9+96=105
Is this right. Please help me I will make you Brainliest
WILL GIVE BRAINLIEST FOR CORRECT ANSWER ! Mike and Ryan are playing in a rectangular swimming pool. They are at opposite corners of the pool, as shown in the following illustration.
Answe they will swimm tords each other
Step-by-step explanation:
you have to catch me first
What is the sticker price?
60% gross margin means they increase by the price by 60%
Multiply the purchase price by 1 + the gross margin:
16 x (1 + 0.60) = 16 x 1.60 = 25.60
The sticker price is $25.60
If y=5 then what is 7+2y2 . I needed help
Answer:
57
Step-by-step explanation:
Remember when an exponent is given and says to solve for any variable, you will plug the number in the variable ( the number given for the variable ) and first solve for exponent. Then solve the rest. Hope this helps, thank you !!
Look at the hundredths grids below. Which mathematical equation accurately depicts which decimal is greater and less than?
A. 0.92 > 0.95
B. 1.92 < 0.95
C. 0.92 < 0.95
D. 0.90 < 0.95
Factor as the product of two binomials. x^2-9x+20
Answer:
(x-4)(x-5)
That is the answer, hope it helps.
Kristin's credit rating was lowered, and the credit card company raised her APR from 14% to 15.2%. If her average daily balance this month is x dollars, express algebraically the increase in this month's finance charge due to the higher APR. Fill in the blank 1
Answer:
0.0022x
Step-by-step explanation:
Given that,
The credit card company raised her APR from 14% to 15.2%.
Her average daily balance this month is x dollars.
We need to find the algebraically the increase in this month's finance charge due to the higher APR. It can be calculated as follows :
[tex]y=x\times \dfrac{12\%}{14}-x\times \dfrac{15.2\%}{14}\\\\=x\times \dfrac{12}{1400}-x\times \dfrac{15.2}{1400}\\\\=-0.0022x[/tex]
So, the required increase in the month's finance is 0.0022x.
Answer:
0.001x
Step-by-step explanation:
A rectangular garden is 5m longer
than it is wide.
The area of the garden is 600m2
Calculate the width and length of the garden.
Answer:
The width of the garden is 22.12 m and its length is 27.12 m
Step-by-step explanation:
Equations
Let x = width of the garden
The length is 5 m longer than the wide, thus:
x + 5 = length of the garden
The area of the rectangular garden is
A=x(x+5)=600
Operating:
[tex]x^2+5x-600=0[/tex]
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Where a=1 b=5 c=-600:
[tex]\displaystyle x=\frac{-5\pm \sqrt{5^2-4(1)(-600)}}{2(1)}[/tex]
Operating:
[tex]\displaystyle x=\frac{-5\pm \sqrt{25+2400}}{2}[/tex]
[tex]\displaystyle x=\frac{-5\pm \sqrt{2425}}{2}[/tex]
There are two solutions:
x = 22.12
x = -27.12
The negative solution is not valid because x is the width of the garden, thus
x = 22.12 m
And
y = 22.12 + 5 = 27.12 m
The width of the garden is 22.12 m and its length is 27.12 m
Drink Pipsi
Price
$1.50
You have decided to increase your drink
price by $1.00. What is the percent of
change?
Please show your work
Answer:
plus 33.333...
Step-by-step explanation:
100/3=33.333...
so it becomes $2.5=133.333...
Coach Pettaway is buying basketball equipment for his team. He gets a
reduced rate if he buys 8 basketballs for every 3 jerseys. The reduced rate is $2.25
per basketball and $22.50 per jersey. The sales tax on each item is 6%. Coach
Pettaway has $400 in his budget to buy the basketballs and jerseys. What is the
greatest number of basketballs and jerseys he can buy at the reduced rate if the
ratio of basketballs to jerseys is 8:32 Show your work.
-6a - 4 + 7a + 2 —— i dont really understand haha
Answer:
−2
Step-by-step explanation:
Kelli is searching for a new daycare center for her child. At Lori's Local Daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?
Answer:
243 people
Step-by-step explanation:
Kelli is searching for a new daycare center for her child. At Lori's Local Daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?
The ratio is given as:
Caretakers : Children
2 : 7
= In fraction = 2/7
If there are 189 total children, then how many people are at the daycare facility?
Step 1
We calculate the number of caretakers is there are 189 children
7 children = 2 caretakeras
189 children = x
Cross Multiply
7x = 189 × 2
x = 189 × 2/7
x = 54 caretakers
Step 2
The total number of people at the daycare
= 189 children + 54 caretakers
= 243 people
A. Solve the following linear equations.
2.) y - 18 = 32
3.)x/1.3=-6
4.) b/4=3/8
5.)3x-53=-16
6.)8x-7+2x=6+5x+2
7.) 7x-1=9-5x
Answer:
2. y = 50
3. x = 7.8
4. x = 3/5
5. x = 23
6. x = ?
I don't know 6 answer...
How can you solve real-world and mathematical problems with numerical and algebraic equations and inequalities?
pls help due soon will give branliest
Answer:
Algebra can be applied to the temperature in different places that both change, height of a growing child over time, the speed of a car that changes over time (mph), and the age of people that increases over year.
Step-by-step explanation:
What's 4 x 90 divided by 3 x 7?
Answer:
17.14
Step-by-step explanation:
360/21=17.14
Answer:
(4 × 90) ÷ (3 × 7)
= 360 ÷ 21
= 17.14
please answer this quickly
Answer:
Step-by-step explanation:
I need help on this one pls asap
Answer:
41
Step-by-step explanation:
40^2+9^2=1681
the square root of 1681 is 41
Answer:
[tex]c^{2}[/tex] = 41
Step-by-step explanation:
[tex]9^{2}[/tex] + [tex]40^{2}[/tex] = [tex]c^{2}[/tex]
81 + 1600 = [tex]c^{2}[/tex]
1681 = [tex]c^{2}[/tex]
[tex]\sqrt{1681}[/tex] = 41
expand and simplify (3X+1)(2X+4)
Answer:
6x square +14x+4
Step-by-step explanation:
hope this helps................
Answer:
6x^2+14x+4
Step-by-step explanation:
6x^2+12x+2x+4
6x^2+14x+4