Answer:
The radius is 1 km.
Step-by-step explanation:
c =2\(\pi\)r
6.28 = 2(3.14)r
6.28 = 6.28r Divide both sides by 6.28
1 = r
The radius is 1 km.
Helping in the name of Jesus.
We know that the formula for circumference is:
C = 2πr
where C is the circumference and r is the radius.
Substituting the given value for C:
6.28 km = 2πr
Dividing both sides by 2π:
r = 6.28 km / 2π
r ≈ 1 km
Therefore, the radius of the circle is approximately 1 kilometer.
To convert miles per hour to feet per second, which conversion factor would not be used?
1 hr60 min
1 hr60 min
1 min60 sec
1 min60 sec
5280 ft1 mi
5280 ft1 mi
1 mi
5280 ft
I'm doing this right now too :)
You start by writing the original numbers given into a proportion, which would be
miles
_____
hours
Then you have to convert the top unit, miles, into feet. You have to use the rate 1mile:5280 feet. You write that as a proportion too.
miles 1
_____ = ___
hours 5280
Next, you have to add a conversion rate for changing the hours into seconds. You'd use the rate 1 hour: 60 seconds.
miles 1 60
_____ = ___ = ____
hour 5280 1
Then you'd cross multiply to solve.
Hope I helped! Please mark me brainliest
The shapes in this question are drawn on a centimetre grid.
a) What is the area of rectangle A?
b) What is the area of triangle B?
c) What is the area of trapezium C?
Picture included.
Answer:
A. 12 centimeters B. 4 centimeters C. 20 centimeters
Step-by-step explanation:
To find area you need to do the Height time the Length.
For A it is 3x4
For B it is 4x1
And for C it is 4x5
You get this equation by multiplying the amount of squares that the Height and Length measured!
Hope this helped!
:DD
The area of the rectangle is 12 units².
The area of the triangle is 2 units².
The area of the trapezium is 16 units.
We have,
The area of the rectangle.
= length x width
= 4 units x 3 units
= 12 units²
The area of the triangle.
= 1/2 x base x height
= 1/2 x 1 unit x 4 units
= 2 units²
The area of the trapezium.
= 1/2 x (sum of the parallel sides) x height
= 1/2 x (5 units + 3 units) x 4 units
=1/2 x 8 units x 4 units
= 4 x 4
= 16 units²
Thus,
The area of the rectangle is 12 units².
The area of the triangle is 2 units².
The area of the trapezium is 16 units.
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The only way that you shouldn’t do is wrong and I can get it on your website if it does commager you know how it is now it doesn’t matter if I don’t have to the text I want it I can put the link in it I have never a text from the other person that is a good but it’s a little more user to do that I don’t know why I can’t even see that it is not the same thing.
Umm wha? This makes no sense to me. Like what are you sayin
What is the Answer to 3m+4n
Answer:
7mn
Step-by-step explanation:
3 + 4 is 7
m + n is mn
7mn
Azli has RM (h²-64). He wants to buy RM (h-8) packs of flour. How much is a pack of flour?
Answer:
Cost of one pack = h+8
Step-by-step explanation:
Given that:
Amount Azil have = RM (h²-64)
Packs of flour Azil wants to buy = h-8
To find the price of a pack of flour, we will divide the total amount by packs of flour.
Unit rate = \(\frac{h^2-64}{h-8}\)
Unit rate = \(\frac{h^2-8h+8h-64}{h-8} = \frac{h(h-8)+8(h-8)}{h-8}\)
Unit rate = \(\frac{(h-8)(h+8)}{(h-8)}\)
Unit rate = h+8
Hence,
Cost of one pack = h+8
each book in a certain library is classified in one of three categories: fiction, nonfiction, or biography. the ratio of the number of fiction books to the number of nonfiction books is 4 to 3, and the ratio of the number of nonfiction books to the number of biographies is 3 to 2. if there are at least 10,000 books in the library, what is the least number of books that could be in the library?
The number of fiction books in the library is equal to 16
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given the ratio of fiction to nonfiction books in a classroom, the library is 2 to 3, and then the total ratio of both books will be 2+3 = 5. If there are 24 books non-fiction books in the library, to get the number of fiction books that are there we will follow the following steps.
First, we will calculate the total number of books in the shelf;
3/5 x Total number of books = total non fiction books
3/5 * Total number of books = 24
3*Total number of books = 5*24
3*Total number of books = 120
Total number of books = 120/3
Total number of books = 40
Therefore there are 40 total books on the shelf.
Total number of fiction books = 2/5 * 40
Total number of fiction books = 2* 8
Total number of fiction books = 16 books
Hence there are 16 fiction books on the shelf.
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Which number is a solution of |3-2 x|<5 ?
(A) -6 (B) -1 . (C) 2 (D) 4
The only value that belongs to the solution set is -1
We have the inequality as follows;
|3-2x| < 5
We need to isolate |3 - 2x|.
So, we need to eliminate the absolute value by separating the inequality into two separate inequalities.
The first inequality we have is;
3 - 2x < 5
We will solve for x as follows;
3 - 5 < 2x-2 < 2x+2 < 2-2 < 2x/2-1 < x < 3/2
The second inequality is;
-(3 - 2x) < 5
We will solve for x as follows;
-3+2x < 5-3-5 < 2x-8 < 2x/2-4 < x < 2
So, we have the solution set as;
(-4, -1/2) U (1, 7/2)
The only value that belongs to the solution set is -1,
thus the correct option is (B) -1.
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translate the triangle then enter the new coordinates
Answer:
1,(8)
Step-by-step explanation:
x = 3-2=1
y = 4+4=8
Therefore, 1,8
The quotient of 1 and the square of a number written as a algebraic expression?
The algebraic expression for the quotient of 1 and the square of a number is written as 1/y²
What is an algebraic expression?An algebraic expression can best be defined as an arithmetic or mathematical expression that is known to consist of variables, coefficients, constants, factors as well as terms.
These expressions also said to be made up of numerous mathematical or arithmetic operations, which includes;
ParenthesesAdditionSubtractionMultiplicationBracketDivision, among othersFrom the information given, we have that;
The quotient of 1 and the square of a number
Now, let the number in this case be y
This expression can be represented as;
1/ (y)²
expand the bracket
1/y²
Hence, the expression is 1/y²
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What is the missing justification?
transitive property
reflexive property
symmetric property
substitution property
Answer:
Transitive property
Step-by-step explanation:
Given
See attachment
Required
The missing property?
In step 1, we have:
\(\angle A \cong \angle B,\ \angle C \cong \angle B\)
Transitive property states that:
If \(a = b\) and \(b = c\)
Then \(a = c\)
Similarly:
If \(\angle A \cong \angle B\) and \(\angle C \cong \angle B\)
Then \(\angle A \cong \angle C\) --- step 3
Hence, we can conclude that the transitive property is the missing justification
un banco tiene una tasa de interes anual de 17.5% ¿que cantidad de interes pagara un prestamo de 30,000 pesos en 3 años
Por lo tanto, la cantidad de interés que se pagará en el préstamo de 30,000 pesos durante 3 años con una tasa de interés anual del 17.5% es de 16,691.25 pesos.
para calcular la cantidad de interés que se pagará en un préstamo de 30,000 pesos con una tasa de interés anual del 17.5% durante 3 años, es necesario utilizar la fórmula de interés compuesto. Esta fórmula es: I = P * (1 + r)^n - P, donde I es el interés, P es el principal, r es la tasa de interés anual y n es el número de períodos.
En este caso, el principal es 30,000 pesos, la tasa de interés anual es del 17.5%, y el número de períodos es de 3 años. Entonces, podemos calcular el interés utilizando la fórmula:
I = 30,000 * (1 + 0.175)^3 - 30,000 = 16,691.25 pesos.
Es importante recordar que el interés compuesto aumenta con el tiempo, por lo que es importante considerar esto al planificar préstamos y financiamientos.
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HELP!! Triangle MNO is dilated to create triangle PQR on a coordinate grid. You are given that angle N is congruent to angle Q. What other information is required to prove that the two triangles are similar?
Once we have established that all three angles are congruent and all three sides are proportional, we can conclude that the two triangles are similar.
To prove that the two triangles are similar, we need to show that all three angles are congruent, and all three sides are proportional.
We know that angle N is congruent to angle Q, but we need to find additional information to prove that the triangles are similar. One possible piece of information could be the length of one side or the ratio of two sides.
If we know the ratio of the lengths of two corresponding sides in the two triangles, we can use that information to show that all three sides are proportional.
Alternatively, if we know the length of one side in both triangles, we can use the angle-angle similarity theorem to show that all three angles are congruent.
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Use the figure below to find the value of y and each angle shown.
5y - 16 + 3y + 20 = 180 degrees
Combine like terms on the left side
8y + 4 = 180
Subtract 4 from both sides.
8y = 176
Divide both sides by 8
y = 22
Plug 22 into y for each angle.
3y + 20 = 3(22) + 20 = 66 + 20 = 86 degrees
5y - 16 = 5(22) - 16 = 110 - 16 = 94
The angle opposite 5y - 16 also equals 94 because they are vertical angles.
The angle opposite of 3y + 20 also equals 86 because they are vertical angles
7 less than twice a number is greater than 19
Answer:
Step-by-step explanation:
if the number is x
2x - 7 greater than 19
= 2x greater than 26
Which percent is equivalent to 0.3?
Answer:
30%
Step-by-step explanation:
smart highschooler brain
How would you rewrite the expression 6(2+9) using distributive property?
Answer:
66
Step-by-step explanation:
Answer:
12+54
Step-by-step explanation:
An airplane traveled from Boston to Seattle, which is approximately 3000 miles. The flight was in the air traveling from 7:00 am until 1:00 pm. Calculate the speed of the airplane that traveled this distance in that timespan.
A) 50 mph
B) 450 mph
C) 500 mph
D) 600 mph
Answer:
C) 500 mph
Step-by-step explanation:
There are six hours in between 7:00am and 1:00pm. So the airplane traveled 3,000 miles in 6 hours. Divide 3,000 by 6 to get the answer, which in this case is 500. Hope this helped!
Please help me with this homework
Answer:
Question 1
4 /7 +-1/3 =rational number
Question 2
4=2/5 = rational number
this both are based on definition of rational number
what geometric shape forms the hole that fits an allen wrench
Answer:
A hexagon
Step-by-step explanation:
A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.
The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.
The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.
The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.
The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.
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The product of 3 and n
Mathematics
Answer:
Step-by-step explanation:
the product of 3 and n in mathematics is 3n or 3 times n The product of a number and three" should be 3n
where n is the number.
IN the answer of the question you would have to explain something like this:
Let n be the number. The product then is 3n
The reason for this is that you could also let n stand for the number, in which case the answer would be 3n
.
For the question, calculate the slope of a line that passes through the points given. Remember to reduce all fractions to lowest terms.
(-14, 18), (-16, 14)
Answer:
the answer is 2 or 2/1 hope this helps
Answer:
In fraction form, the slope is 2/1.
Or, the slope is just 2.
Step-by-step explanation:
Using the equation:
m =
y2 - y1 /
x2 - x1
Plug in the x and y points and solve.
note: m = slope in slope intercept form, y - mx + b
y2 = 14 y1 = 18
x2 = -16 x1 = -14
14 - 18 / -16 -(-14)
-4 / -2
Simplified: -2 / -1
In fraction form, the slope is -2 / -1, or 2/1 because either way works.
Or, the slope is just 2.
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe, and please mark brainliest! :)
HELP PLEASE I NEED THIS DONE ASAP
Answer:5
Step-by-step explanation:
it would be 5 because
Numbers of the jerseys of 5 randamty selected Carolina Panthers Quantitative discrete Quantitative continuous. Gualitative
The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.
Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.
Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.
Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".
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A questionnaire is sent out to a local community on a proposed real estate tax increase. This tax increase would help to counteract the rising educational costs for the local school. Two questions were sent out to the community: 1. The Little Town School District has one of the lowest per student expenditure rates in the state. This has resulted in high failure rates, low standardized test scores, and students are struggling to get into tests and colleges. • Do you support the real estate tax increase in order to help fund the schools? II . The Little Town School District has one of the lowest per student expenditure rates in the state. Raising the real estate tax could potentially create a tax rate that is higher than people can afford. This may result in them having to give up their homes because they cannot support the increased tax rate. • Do you support the proposed real estate tax increase? One of the questions resulted in 60% of the population supporting the tax increase, while the other question resulted in a 10% of the population supporting the real estate tax increase. Which produced the higher result and why? The first showed the 10% and the second showed the 60% because there was no control question. The first showed the 60% and the second showed the 10% because the questionnaire was not given out to a simple random sample of the population. The first showed the 60% and the second showed the 10% based on the wording of the question. The first showed the 60% and the second showed the 10% because there was no control question
producedThe first question produced a higher result (60%) than the second question (10%) due to the wording of the questions.
The first question resulted in 60% of the population supporting the tax increase, while the second question only had 10% support. The difference in results can be attributed to the wording of the questions. The first question emphasizes the negative consequences of not supporting the tax increase, such as low standardized test scores and limited college opportunities for students. This wording may evoke a sense of urgency and concern, leading more people to support the tax increase.
In contrast, the second question highlights the potential negative impact of the tax increase on individuals, emphasizing the risk of losing their homes due to higher tax rates. This wording may lead more people to be hesitant or opposed to the tax increase. Therefore, the wording of the questions influenced the different levels of support obtained.
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Help in this as well
Answer:
b 321 and 322
Step-by-step explanation:
because 321.5 is between 321 and 322
Raj wrote -(5^4) = (-5^4). Is Raj correct? Why or why not?
Raj is incorrect as the negative signs are put in different place.
What are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
given:
-(5^4) = (-5^4).
Raj is incorrect because the in LHS part the negative sign is out of the exponent term and in RHS part the negative sign is within exponent.
-(5^4) gives - 625
and, (-5^4) gives 625
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what does x equal in this equation
Answer:
x=2
Step-by-step explanation:
You have to subtract 8 from both sides.
-5x+8=-2
-8 -8
----------------
-5x= -10
now divide both sides by -5.
x=-10/-5
(And two negatives make a positive.)
x=10/5
now you have to simplify 10/5
10/5 simplified is 2
so the answer is:
x=2
I hope this helps. :)
Which expression is equivalent to
5(6p + 5) + 2(8p + 3)?
Answer:
46p + 31
hope it's helpful
Answer:
46p + 31
Step-by-step explanation:
Distribute : 5(6p + 5 ) to get 30p+25
Distribute : 2(8p + 3) to get 16p + 6
new expression : 30p + 25 + 16p + 6
Add these together to get : 46p + 31
i hope this helps (:
Find an approximate value of m such that the equation cos x = mx has exactly two solutions. (round your answers to four decimal places.)
The answer is , an approx. value of m such that the equation cos(x) = mx has exactly two solutions is m = 1 and m = -0.3183
To find an approximate value of m such that the equation cos(x) = mx has exactly two solutions, we can use the fact that the graph of y = cos(x) intersects the line y = mx at exactly two points.
The graph of y = cos(x) is a periodic function with a maximum value of 1 and a minimum value of -1.
Since we want the line y = mx to intersect the graph of y = cos(x) at exactly two points, the slope m must satisfy the condition -1 ≤ m ≤ 1.
Furthermore, for the line y = mx to intersect the graph of y = cos(x) at exactly two points, the line must pass through the maximum and minimum points of the graph of y = cos(x).
These occur at x = 0 and x = π.
At x = 0, we have cos(0) = 1 and the equation cos(x) = mx becomes 1 = m(0), which simplifies to m = 1.
At x = π, we have cos(π) = -1 and the equation cos(x) = mx becomes -1 = m(π), which simplifies to m = -1/π.
Therefore, an approx. value of m such that the equation cos(x) = mx has exactly two solutions is m ≈ 1 and m ≈ -0.3183 (rounded to four decimal places).
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Question 3 of 10
The function a(b) relates the area of a trapezoid with a given height of 14 and
one base length of 5 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
a(b) = 14.45
Which equation below represents the inverse function b(a), which takes the
trapezoid's area as input and returns as output the length of the other base?
OA. b(a)=-7
B. b(a) =
O c. b(a) =
+5¹
+7
D. b(a) = -5
The equation that represents the inverse function b(a) in this case is:
C. b(a) = 7