The formula for the circumference, C, of a circle with given radius, r, is C = 2nr.
What is the circumference of a circle with a radius of 3 1-2 meters?
(Use 21
22
as an estimate for n.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters
Answers
Answer:
C. 22
Step-by-step explanation:
C = circumference
n (pi) = 22/7
r = 3 1 /2
Plug in the numbers for each variable.
C = 2x (22/7) x (3 1/2)
Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.
C = (2/1) x (22/7) x (7/2)
Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.
Related Questions
Solve the expression below. 3/7÷2 1/2
Answers
Answer:
6/35
Step-by-step explanation:
3/7 : 2 1/2
2 1/2 = (2*2+1) / 2 = 5/2
3/7 : 5/2 = 3/7 * 2/5 = (3*2) / (7*5) = 6/35
A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim?
Answers
Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10
Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answers
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm
Answers
Answer:
B
Step-by-step explanation:
It's needing to be doubled in size. That should be it hope it helps
x^2 = 1/100, what is x
Answers
X in (-oo:+oo)
X^2 = 1/100 // - 1/100
X^2-(1/100) = 0
X^2-1/100 = 0
1*X^2 = 1/100 // : 1
X^2 = 1/100
X^2 = 1/100 // ^ 1/2
abs(X) = 1/10
X = 1/10 or X = -1/10
X in { 1/10, -1/10 }
Ik youll umderdtsnd this one day
What number is 0.01 more than 253.498?
Answers
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
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inventa un objeto geométrico, defínelo y expresa cómo lo representarías verbal, simbólica y gráficamente. Da ejemplos que cumplan las condiciones para que sea posible reconocerlo por medio de la definición y no ejemplos.
Answers
Help please!! :)))) Thanks!
Answers
The radius of a sphere measures 2 units. What is its surface area? S = 4πr2 S = 4π(2)2 Surface area=
Answers
Answer:
16π or 50.3 units
Step-by-step explanation:
the formula for the surface area of a sphere (as you mentioned) is:
4πr²
So if we plug in the given value (2) for r:
4π×2²=16π
Answer:
16
Step-by-step explanation:
I got it right
which expression is equivalent to the one below
Answers
Find the remaining volume of the cube with the cone removed.
Answers
D
Step-by-Step explanation:
Find the volume of the Prism (Picture Provided)
Answers
Answer:
volume = 84
Step-by-step explanation:
simple: volume = base x height
6 x 14 = 84
help me plsssss i rlly need helppppp i'll give brainliestttt
Answers
So the answer is $118
What is the coordinate of the focus
for the following parabola:
(x - 1)2 = 12(y + 2)
A. (1, -2)
B. (0, 12)
C. (12,0)
D. (1, 1)
Answers
Answer:
I want to say B or D please tell me if I'm right lol
Line p is parallel to line q. Which proof explains why the sum of the interior angles of the triangle must be 180⁰?
Answers
Answer:
See proof below
Step-by-step explanation:
Find the diagram attached.
From the diagram, sum of angle on the straight line l is 180degrees that is:
<A' + <B' + <C' = 180° .... 1
Also note that
<A = <A' (corresponding angle) ...2
<B = <B' (corresponding angle) ... 3
<C = <C' (vertically opposite angle) ...4
Substitute 2, 3 and 4 into 1, we will have:
A+B+C = 180°
This shows that the sum of the interior angles of the triangle A B and C is 180°
The model represents an inequality. What is the solution set for the inequality?
F). x ≤ -5
G). x ≤ 5
H). x ≤ 1
J). x ≤ -14
Answers
Answer:
-5
Step-by-step explanation:
4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answers
Answer and Step-by-step explanation:
The answer is acute.
Acute angles are angles that have a degree that is less than 90 degrees.
Obtuse angles are angles that have a degree that is more than 90 degrees.
Right angles are angles that are 90 degrees.
Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.
#teatrmees #PAW (Plant And Water)
A bag contains 8 green M&Ms, 12 blue M&Ms, and 2 orange M&Ms. What is the
probability of choosing a green M&M, eating it, and then choosing a blue M&M?
Please help me this is turn in tomorrow please.
Answers
Answer:
16/77 or about 21%
Step-by-step explanation:
P(G,B) = 8/22 x 12/21 = 16/77 (simplified)
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answers
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
The volume of a sample of oxygen is 200.0 mL when the pressure is 3.00
atm and the temperature is 310 K. What is the new temperature if the
volume increases to 400.0 mL and the pressure decreases to 2.00 atm?*
322.3K
482.8 K
O 413.3K
686.0 K
Answers
9514 1404 393
Answer:
C 413.3K
Step-by-step explanation:
Temperature is proportional to volume and pressure. Pressure has decreased by a factor of 2/3, and volume has increased by a factor of 400/200 = 2. So, the new temperature is ...
(310 K)(2/3)(2) = 413 1/3 K ≈ 413.3 K
Help pls?!!!! For brainlest and extra points
Answers
Answer:
12cm squared
Step-by-step explanation:
The area of a triangle is 1/2bh
A = 1/2 x 4 x 6
A = 4 x 3
A = 12 cm squared
Answer:
The answer is B: 12 cm^2.
Step-by-step explanation:
The formula for the area of a triangle is b * h / 2 (base times height divided by two).
6 * 4 = 24
24 / 2 = 12
And since we're looking for area, the answer would be squared, as all areas are.
The answer: 12 cm^2.
Brainliest would be really really greatly appreciated!!!!
james lives 4/5 miles from the libary he has already walked 3/4 of the way. How far had james walked
Answers
Answer:
600M
Step-by-step explanation:
Convert miles to meters. Then convert the fractions. 1000M divided by 5 = 200. Now times by the numerator of the fraction, which is 4. This gives you 800. Now, 3/4 of 800 = 600. as you divide by the denominator, and times by the numerator. The answer is 600M, or 0.6 Miles.
12) If there was a tax of 7%, what is the final deconstructed percent? *
7 points
107%
1.07%
7%
93%
Answers
3x²-7x+4=0
can yall help me
Answers
Answer:
I think it
[tex]X1 = 1.333\\X2 = 1\\\\[/tex]
How do you write 4.789x10^7 in standard form?
Answers
Answer: 47890000
Step-by-step explanation:
4.789*10^7=4789*10^4=4789000
Answer:
47,890,000
Step-by-step explanation:
In the data set shown below, what is the value of the quartiles?
{56, 58, 64, 68, 72, 75, 78}
A. Q1 = 58; Q2 = 68; Q3 = 73.5
B. Q1 = 61; Q2 = 68; Q3 = 73.5
C. Q1 = 75; Q2 = 68; Q3 = 58
D. Q1 = 58; Q2 = 68; Q3 = 75
Answers
Answer:
its either b or d not 100% sure though so im sorry if im wrong
In which direction does the left side of the graph of this function point?
fx) = 3x - x²+4+- 2
Answers
If cos(x) = 3/5 and sin x < 0, find sin(2x) as a fraction in simplest terms.
sin(2x) =
Answers
Answer:
NOT 24/25 and NOT -4/5
Step-by-step explanation:
took the quiz
If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.
To find sin(2x), we can use the double-angle formula for sine:
sin(2x) = 2 * sin(x) * cos(x)
Given:
cos(x) = 3/5
sin(x) < 0
We need to determine sin(x) based on the given information.
Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:
[tex](sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25[/tex]
sin(x) = -4/5
Now we can the values into the double-angle formula for sine:
sin(2x) = 2 * sin(x) * cos(x)
sin(2x) = 2 * (-4/5) * (3/5)
sin(2x) = (-8/5) * (3/5)
sin(2x) = -24/25
Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.
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Enter the value of p so that the expression 4(n + 8) is equivalent to (n + p)4.m
Answers
Answer:
8 is the value of p
Answer:
n=0 p=8
Step-by-step explanation:
A(n) is a written agreement between different parties.
A. contract
B. commitment
C. month-to-month
D. annual commitment
Answers
Answer:
A. contract
Step-by-step explanation: