If students only know the radius of a circle, what other measures could they determine? Explain how students would use the radius to find the other parts.
Answers
Radius of the circle : Radius is the distance from the center outwards.
With the help of radius we can determine the following terms:
1. Diameter : Diameter is the twice of radius and it is teh staright line that passes through the center. Expression for the diameter is :
\(\text{ Diameter= 2}\times Radius\)2. Circumference: Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It express as:
\(\begin{gathered} \text{ Circumference of Circle=2}\Pi(Radius) \\ \text{ where }\Pi=3.14 \end{gathered}\)3. Area of Circle: Area of a circle is the region occupied by the circle in a two-dimensional plane. It express as:
\(\begin{gathered} \text{ Area of Circle = }\Pi(radius)^2 \\ \text{where : }\Pi=3.14 \end{gathered}\)4. Center Angle of the Sector: Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one. It express as :
\(\text{ Central Angle of sector=}\frac{Area\text{ of Sector}}{\Pi(radius)^2}\times360\)5. Arc length : An arc of a circle is any portion of the circumference of a circle. It express as :
\(\text{ Arc Length = }Radius(\text{ Angle Substended by the arc from the centerof crircle)}\)In the given figure the radius is AO & BO
Related Questions
Supposed that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in the tank. When carrying 14 gallons of fuel the airplane weighs 2177 pounds when carrying 42 gallons of fuel it weighs 2331 pounds. How much does the airplane weigh if it is carrying 48 gallons of fuel?
Answers
Answer:2885
Step-by-step explanation:
A town has a population of 50,200 and grows at a rate of 9% every year. Which equation represents the town’s population after 2 years?
Answers
Answer:
A. P = 50,200(1 + 0.09)2
Answer:
P = 50200(1+0.09)²
Step-by-step explanation:
To find the answer to this question we use the equation new value = original value x \(d^{n}\), where d is the multiplier
We are told that our original value is 50200 and to find the multiplier we have to do 1 + 0.09. This is because the population is increasing by 9% which as a decimal is 0.09!
This means that our equation would be P = 50200(1+0.09)²
Hope this helps, have a lovely day! :)
5/37 as a decimal and percent.
Answers
Answer:
5/37 as a decimal is 0.13513513513514.
5/37 as a percentage is 13.5135%.
Step-by-step explanation:
Answer:
5/37 = 0.135 (3 dp) = 13.513% (3 dp)
Step-by-step explanation:
5/37 = 0.135 (3 dp) = 13.513% (3 dp)
To convert a fraction to a decimal, use long division
To convert to a percent, multiply the decimal by 100.
of the 480 canned foods collected, 45% of them were canned vegetables. How many canned vegetables did the school collect last month
Answers
Jamison needs a total of $395 to buy a new bike. He has $35 saved. He earns $15 each week delivering newspapers . How many more weeks will Jamison have to deliver papers to earn enough money for a bike?
Answers
An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.
Now, the equation that can represent the situation can be written as,
Cost of the bike = Amount Saved + Earning by delivering newspapers
Substituting the values,
$395 = $35 + $15x
where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,
395 = 35 + 15x
395 - 35 = 15x
360 = 15x
x = 360 / 15
x = 24
Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.
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Ali took five Math tests during the semester and the mean of his test score was 85. If his mean after the first three was 83, What was the mean of his 4th and 5th tests
Answers
Answer:
88
Step-by-step explanation:
Mean of five test = 85
Sum of five tests = 85*5 = 425
Mean of first three test =83
Sum of first three test = 83 * 3 = 249
Sum of 4th and 5th test scores = 425 - 249
= 176
Mean of his 4th and 5th test = 176/2 = 88
Please help I have been stuck this for a while
Answers
Answer:
Option (D)
Step-by-step explanation:
Given expression is,
x³ × 3 ÷ \(\frac{2}{9}\) + 9x - (7 - 6x)
By substituting x = \(\frac{2}{3}\),
\((\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-6(\frac{2}{3})]\)
By using rule PEMDAS,
P - Parenthesis
E - Exponent
M - Multiplication
D - Division
A - Addition
S - Subtraction
\(=(\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-[7-4]\)
= \((\frac{2}{3})^3\times 3 \div \frac{2}{9}+9(\frac{2}{3})-3\)
= \(\frac{8}{27}\times 3 \div \frac{2}{9}+6-3\)
= \(\frac{8}{9}\div \frac{2}{9}+6-3\)
= \(\frac{8}{9}\times \frac{9}{2}+6-3\)
= 4 + 6 - 3
= 7
Option (D) is the answer.
(HELP ME BRAINLIEST OF THE BRAINLESTS!!!!!!)
A 1. Some square tiles measure 3 1/2 inches on each side. Seven Tiles are placed in a row. How long is the row of tiles?
The row would be _____ inches long
B 2. Suppose that 10 tiles like those problem 1 were placed in a row. How long would that row of tiles be
It would be ______ inches long
Answers
The row of tiles would be 24 1/2 inches long.
B:The row of 10 tiles would be 35 inches long.
What is the length of the row?A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said row.
So, all tile measures 3 1/2 inches on each side, Hence the length of one tile is 3 1/2 inches.
Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:
Length of the row = 3 1/2 inches/tile x 7 tiles
= 24 1/2 inches
So, the row of tiles is 24 1/2 inches long.
B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.
Note that:
Length of one tile = 3 1/2 inches
Number of tiles in the row = 10
Hence:
Length of the row = 3 1/2 inches/tile x 10 tiles
= 35 inches
So, the row of 10 tiles is 35 inches long.
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Factor xy-y+3x-3
Answer needs filled in
(Y+_) (x+_)
Answers
I got this answer off of
a farmer in China discovers a mammal hide that contains 25% of it's original amount of c-14
Answers
Answer:
Plato answer is 13863
Step-by-step explanation:
Plato answer is 13863
A group of randomly selected middle schoolers at SCVCS were asked how many pets they have. The data gathered is listed below.
{2, 0, 1, 3, 2, 5, 1, 2, 2, 4, 1, 3, 2, 7, 0, 2, 4, 2, 1}
What is the mode number of pets?
Mode =
Answers
Answer:
2
Step-by-step explanation:
2 appears the most as we can see theres only
two 0
and few of the other numbers
mode is the most common number in the list of any given numbers like the one abpve
Which choice is equivalent to the expression below? √-49
btw its 7i
Answers
Answer:
7
Step-by-step explanation:
Translate the triangle. Then enter the new coordinates. A(-3, 4) A'([?], [?]) B'([ ], [ ] C([],[]) B(0, 1) C(-4,1)
or
![Translate the triangle. Then enter the new coordinates. A(-3, 4) A'([?], [?]) B'([ ], [ ] C([],[]) B(0,](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/y0xgfvwJONXPtm60rrL1waiykn7Koe4Q.jpeg)
Answers
Answer:
The new coordinates are \(A'(x,y) = (3, 0)\), \(B'(x,y) = (6, -3)\) and \(C'(x,y) = (2, -3)\).
Step-by-step explanation:
Vectorially speaking, the translation of a point can be defined by the following expression:
\(V'(x,y) = V(x,y) + T(x,y)\) (1)
Where:
\(V(x,y)\) - Original point.
\(V'(x,y)\) - Translated point.
\(T(x,y)\) - Translation vector.
If we know that \(A(x,y) = (-3,4)\), \(B(x,y) = (0,1)\), \(C(x,y) = (-4,1)\) and \(T(x,y) = (6, -4)\), then the resulting points are:
\(A'(x,y) = (-3, 4) + (6, -4)\)
\(A'(x,y) = (3, 0)\)
\(B'(x,y) = (0,1) + (6, -4)\)
\(B'(x,y) = (6, -3)\)
\(C'(x,y) = (-4, 1) + (6, -4)\)
\(C'(x,y) = (2, -3)\)
The new coordinates are \(A'(x,y) = (3, 0)\), \(B'(x,y) = (6, -3)\) and \(C'(x,y) = (2, -3)\).
Marina is building a triangular sandbox for her daughter. If she has two boards that measure 3ft and 7.25ft, which of the following lengths could Marina use for the third side of the triangular sandbox
Answers
Marina could use for the third side of the triangular sandbox the option: C - 7.25 ft.
Triangle Inequality TheoremIn mathematic, there is a rule for triangle side lengths. This rule says that the sum of the lengths of any two sides of a triangle is greater than the length of the one side (third side). Therefore,
\(L_1+L_2 > L_3\, (1)\\ \\ L1+L_3 > L_2\, (2)\\ \\ L_2+L_3 > L_1\, (3)\)
The question gives two sides: 3 ft (L1) and 7.25 ft (L2), applying the equation (1) of rule for triangle side lengths, you have:
\(L_1+L_2 > L_3\\ \\ 3+7.25 > L_3\\ \\ 10.25 > L_3\\ \\ L_3 < 10.25\)
The options for answer are: 4.25ft, 10.25ft, 7.25ft and 3ft. According to triangle inequality \(L_3 < 10.25\), hence, the letter B is not the answer.
After that, you can apply equations (2) or (3) for testing the options. For solution below, it was used the equation (2).
Test 1 - 3 ft (L1) , 7.25 ft (L2) and 4.25 ft (L3)\(L_1+L_3 > L_2\\ \\ 3+4.25 > L_2\\ \\ 7.25 > L_2\\ \\ L_2 < 7.25\)
The second side is exactly equal to 7.25, according to the rule this side should be less than 7.25. Therefore, the option 4.25 ft is not the answer.
Test 2 - 3 ft (L1) , 7.25 ft (L2) and 7.25 ft (L3)\(L_1+L_3 > L_2\\ \\ 3+7.25 > L_2\\ \\ 10.25 > L_2\\ \\ L_2 < 10.25\)
The question informs that the second side is 7.25 ft. Then 7.25 < 10.25, so the option 7.25 ft is the answer.
You can continue to test the last option, but it is not necessary since you have already found the corrected answer.
Test 3 - 3 ft (L1) , 7.25 ft (L2) and 3 ft (L3)\(L_1+L_3 > L_2\\ \\ 3+3 > L_2\\ \\ 6 > L_2\\ \\ L_2 < 6\)
The second side is equal to 7.25, hence, the option 3 ft is not the answer.
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I need help solving it
Answers
Answer:
3x+4
3×(-2)+4=-10
3×(-1)+4=-8
3×0+4=4
3×2+4=10
3×1+4=8
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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In Houston, Texas, it is 92 degrees Fahrenheit. The temperature is expected to drop 2.5 degrees each hour. In Chicago, Illinois, it is 80 degrees Fahrenheit, and the temperature is expected to drop 1 degree each hour. Which inequality shows the number of hours, x, it will take for the temperature in Chicago to be greater than the temperature in Houston?
A. 92 – 2.5x > 80 – x
B. 92x – 2.5 x + 80
D. 92 – 2.5x < 80 – x
Answers
Answer:
the answer is d i took the test and got it right
Step-by-step explanation:
i have none
A club that has 20 members is selecting a 5 representatives to send to a national conference. How many different groups of 5 can there be?
Answers
There can be a total of 15504 groups of selection
How to determine the groups of selection?From the question, we have
Total number of persons, n = 20
Numbers to selection, r = 5 i.e. the committee members
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 20 and r = 5
Substitute the known values in the above equation
Total = ²⁰C₅
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 20!/15!5!
Evaluate
Total = 15504
Hence, the number of ways is 15504
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Answer:
There can be 4 groups of 5.
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point(2,5)?
Answers
Answer:
Step-by-step explanation:
To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:
Find the slope of the provided line.
The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.
Substituting the values, the equation of the perpendicular line becomes:
y - 5 = (-1/m)(x - 2)
Simplifying the equation further, we can rewrite it in point-slope form:
y - 5 = (-1/m)x + (2/m)
Six more than quotient of 12 and a number
Answers
GENTE PORFAVOR ME AJUDA
Answers
You have asked for help without actually providing what you need help on.
In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them play baseball. There are 18 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answers
Answer:
2 students play both
Step-by-step explanation:n(u)=28
n(b)=7,n(b)=5,n(who play neither sport)=18
HERE,
n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)
28=7+5-n(BnB)+18
28=30-n(BnB)
n(BnB)=30-28
=2 answer
Which symbol correctly compares these two fractions? 6/9 ? 2/3. A = B < C >
Answers
Answer:
A
Step-by-step explanation:
You know that you can simplify 6/9 because both the numerator (top number) and denominator (bottom number) can be divided by 3. Therefore, you divide them by 3 to get 2/3. 2/3 cannot be simplified anymore. 2/3 is equal to 2/3. Therefore, the answer is A.
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Tabitha said, "I'll solve using the quadratic formula with a = 2,b= 3, and c= -4." Arthur said, "Tll take the square root and rewrite the equation as 2x +3 - 2 = 0. Then I'll solve for " Whose solution strategy would work?
Answers
Answer:
neither
Step-by-step explanation:
took the stupid khan quiz
Answer:
neither took khan
Step-by-step explanation:
What is the sum of the polynomials?
Answers
Answer:
11x^2+x-1
Step-by-step explanation:
Using the table of integrals, solve
Answers
The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.
The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.
To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.
It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.
Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.
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If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A
How do we solve function using table of integral?Using the table of integral, we say
∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx
u = x+7 ⇒ du = dx
= ∫sec (u) du
Expand the fraction by tan (u) + sec (u)
= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)
= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du
Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du
= ∫(i/v)dv
= In(v)
Undo substitution v = tan(u) + sec(u)
=In(tan(u) + sec(u))
= In(tan(x+7) + sec(x +7))
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14. In a pattern that starts with 5, the next
number is 4 less than twice the previous
number. What is the 4th number in the
pattern?
E. 16
F. 8
G. 12
H. 20
Answers
Answer:
the answer would be G.12
Step-by-step explanation:
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch. How much does it cost to fund 4.5 inches of the construction?
Answers
Answer:
=$114.750
Step-by-step explanation:Length of new board cast tower=4.5 Inches
Cost of construction(per inch)=$25.50
To find cost=?
=25.50x4.5
=$114.750
...................................................................................
The required cost of the construction of a 4.5-inch tower is $114.75.
Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.
Thus, the required cost of the construction of a 4.5-inch tower is $114.75.
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WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Answers
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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Please helppppppppppp
Answers
Answer:
1
2
[
x
2
2
−
x
3
3
]
2
0
=
1
2
[
(
4
2
−
8
3
)
−
(
0
)
]
=
1
2
(
−
2
3
)
=
−
1
3
Step-by-step explanation: