19. In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters? A. 3 centimeters B. 1.5 centimeters C. 4 centimeters D. 6 centimeters
Answers
Answer:
The size of the buttonhole should be 3 cm.
Step-by-step explanation:
The circumference is given by = where r is the radius of the circle.
Given is -
The circumference is given as = 9.42 cm
We can put this value in the formula and get;
=>
=>
r = 1.5 cm
As given that the hole needs to be the size of the button's diameter.
So, diameter = cm
Therefore, the answer is 3 cm.
Because the circumference is equal to diameter times pi
9.42 divide by 3.14 is 3
Related Questions
Someone help 6th grade math i will mark brainliest
[Please help ASAP!]The table shows music preferences. What type of music do you prefer? What type of music do you prefer? Pop Classical Rap Jazz Rock Row totalsMale student: 80 60 80 70 100 390Female student: 200 150 20 70 50 490Column totals: 280 210 100 140 150 880Pop Classical Rap Jazz Rock Row totals 80 60 80 70 100 390 (Male student)200 150 20 70 50 490 (Female student)280 210 100 140 150 880 (Column totals) Which of the following are possible positive associations or observations? (1 point) 1. Rock music is the most popular music for each category of students. 2. The largest difference in conditional relative frequency between males and females is for pop music. 3. The smallest difference in conditional relative frequency between males and females is for jazz music. 4. Male and female students have the same conditional relative frequency for rap music.
A line segment is drawn from (1, 9) to (4, 9) on a coordinate grid. Which answer explains one way that the length of this line segment can be determined? A. Add 9 + 4. B. Add 4 + 1. C. Subtract 9 – 4. D. Subtract 4 – 1.
Identify terms, like terms, coefficients, constant terms then simplify the expression
2x + 3y = 1240
x = 2y – 10
How many of each type of ticket were sold?
Answers
The given equations satisfy the given conditions. There are 2 equations and 2 unknowns, so a certain solution can be found.
This can be solved using substitution,
Substituting eqn 2 to eqn 1:
2(2y – 10) + 3y =1240
Simplifying,
y = 180
x = 350
The number of each type of tickets sold are as follows:
number of food ticket sold = 350
number of ride ticket sold = 180
How to solve for the variable in a system of equation?
x = number of food sold
y = number of ride tickets sold
Therefore,
2x + 3y = 1240
x = 2y – 10
Hence,
2x + 3y = 1240
x - 2y = – 10
2x + 3y = 1240
2x - 4y = -20
7y = 1260
y = 1260 / 7
y = 180
Therefore,
x = 2(180) - 10
x = 360 - 10
x = 350
Therefore, 350 food tickets were sold and 180 ride tickets were sold.
learn more on equation here: brainly.com/question/1396677
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Answers
For me, I just did 15 divided by 3, which equals to 5. So.. You do 5 x 5 to find out how many people there are in the club in total.
Final answer:
The question is about finding the total number of people in the yearbook club given that 15 people represent three-fifths of the total. By using a proportion, we find that the yearbook club has 25 people.
Explanation:
This is a proportional relationship problem in mathematics. You are given that 15 people represent three-fifths (or 3/5) of the total number of people in the yearbook club. To find the total number of people in the club, you set up the proportion: 15 is to 3 and X is to 5.
Then, cross multiply and solve the equation for X. 3*X = 15*5, therefore X = 75/3 = 25. So, there are 25 people in the yearbook club.
Learn more about Proportional Relationships here:
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Answers
Answer:
If the sales 2 years ago were x, the sales last year were 1.12x and this year's sales were 1.12 * (1.12x). We can write 1.12 * (1.12x) = 81427 so that means x = $64913.
Final answer:
Dunkin' Donuts' sales 2 years ago were approximately $64,913.
Explanation:
In order to find Dunkin' Donuts' sales 2 years ago, we can use the information provided that their sales have increased by 12% per year for the last 2 years. Let's denote their sales 2 years ago as x. Then, their sales 1 year ago would be x increased by 12%: (x + 0.12x) = 1.12x. And their sales this year would be 1.12x increased by 12%: (1.12x + 0.12(1.12x)) = 81,427.
Simplifying the equation:
- 1.12x + 0.1344x = 81,427
- 1.2544x = 81,427
- x = 81,427 / 1.2544
- x ≈ 64,913
Therefore, Dunkin' Donuts' sales 2 years ago were approximately $64,911.
Learn more about Calculating Sales
Answers
and the regions could be any regions as long as it is a continuous region
hope this helps
Answers
Answer:
Step-by-step explanation:
we know that
Trina uses cup of sugar and
cup of flour in a recipe
so
by proportion
Find how many cups of sugar would she need if she uses cups of flour
(I have a graphing calculator capble of matrices so yo don't have to solve the system of equations by hand, use rref (reduced row echelon form))
values of a, b, and c and the equation of the graph of the parabola
y=ax^2+bx+c
such that is passes through the points
(2,-15)
(-5,-29)
(-3,5)
rewrite it in the form (x-h)^2=4P(y-k)
show all work
if I were to sub the points in I would ge
(2,-15): -15=4a+2b+c
(-5,-29): -29=25a-5b+c
(-3,5): 5=9a-3b+c
then solve for a, b and c
I don't know how to solve, please help
(if I don't undestand your answer, I will either report or ask you to explain more)
Answers
y =ax² + bx + c
Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c
Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c
Since parabola passes through the point (−3,−5), then
−5 = 9a − 3b + c
Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5
Solving it we get that
a = −2, b = −4, c = 1
Thus, equation of parabola is
y = −2x²− 4x + 1
____________________
Rewriting in the form of
(x - h)² = 4p(y - k)
i) -2x² - 4x + 1 = y
ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)
iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)
iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)
v) -3(x + 7/6)² = y - 445/36
vi) (x + 7/6)² = -⅓(y - 445/36)
(Shifting -⅓ to RHS)
vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p)
So, after rewriting the equation would be -
(x + 7/6)² = 4(-⅛)(y - 445/36)
__________________
I hope this is what you wanted.
Regards,
Divyanka♪
__________________
y =ax² + bx + c
Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c
Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c
Since parabola passes through the point (−3,5), then
5 = 9a − 3b + c
Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = 5
Solving it we get that
a = −3, b = −7, c = 11
Thus, equation of parabola is
y = −3x²− 7x + 11
____________________
Rewriting in the form of
(x - h)² = 4p(y - k)
i) -3x² - 7x + 11 = y
ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)
iii) -3x² - 7x - 147/36 = y - 11 - 147/36
(Adding -147/36 to both sides to get perfect square on LHS)
iv) -3(x² + 7/3x + 49/36) = y - 543/36
(Taking out -3 common from LHS)
v) -3(x + 7/6)² = y - 181/12
vi) (x + 7/6)² = -⅓(y - 181/12)
(Shifting -⅓ to RHS)
vii) (x + 1)² = 4(-1/12)(y - 181/12)
(Rewriting in the form of 4(-1/12) ; This is 4p)
So, after rewriting the equation would be -
(x + 7/6)² = 4(-1/12)(y - 181/12)
_________________
I have corrected the answer and wrote again since the time to correct the answer from that account was expired.
- Divyanka