Answer:
2.08333333333
Step-by-step explanation:
For the following, find the arc length:
(Use \large \pi=3.14 and round your final answer to the hundredths.)
x=_________
Answer:
x = 10.47
Step-by-step explanation:
circumference = 2 * 10 * π = 20π
centre angle of a circle (in radiant) = 2π
x : 20π = π/3 : 2π
x = (20π * π/3)/ 2π
x = 10 * π/3
x = 10π/3
x = 10.466667
x = 10.47
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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Triangle AABC is rotated 135° about point S to create AA'B'C'. C' 2 B' 101° 5.8 S А 5.8 A 5.1 20 C B What is the perimeter of AABC?
Answer: 12.9 units
Step-by-step explanation: 5.1 + 2 + 5.8 = 12.9
⭐ Answered by TurttlePrincess
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Write an inequality for the following statements X is greater than 4Please dont report me if you dont want to help nothing wrong with asking for help I appreciate the help
hello!
An inequation for this problem is:
\(X\text{ }>4\)Another way to write the same thing could be
\(4Which event is considered neither likely nor unlikely?
A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.
According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.
Which event is considered neither likely nor unlikely?In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:
A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.
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Which expression is equivalent to 1 2/5
Sorry, I am not exactly sure what the question is.
→
A spinner is spun 800 times.
The probabilities it lands on each colour
are shown below.
The probability it lands on red is the same
as the probability it lands on yellow.
Colour Red Green Brown Yellow
Probability. 0.3. 0.54
How many times would you expect it to
land on each colour?
Red: 0
Brown: Yellow:
O
Green:
0
Answer:
green 45 times or 40 a note
Watch help video
In the diagram below of triangle KLM, N is the midpoint of KM and O is
the midpoint of LM. If NO = 18 - 2x, and KL = 9x
measure of NO?
16, what is the
Measure on NO
Answer:
10 units
Step-by-step explanation:
2 * (18-2x) = 9x-16
36 - 4x = 9x -16
52 = 13x
x = 4 then NO = 18-2(4) = 10 units
HELP ME OUT PLS!!!!!!
Answer:
The measure of angle 7 is 34 degrees.
Step-by-step explanation:
Since a || b, angles 3 and 7 are corresponding angles which are congruent. Therefore, since the measure of angle 3 is 34 degrees, the measure of angle 7 is 34 degrees.
what is 3/5 - 3/10 = in simplest form
Answer:
3/10
Step-by-step explanation:
3/5 - 3/10 = 5×2 = 10 so 10 is the denominator
6/10 -3/10 = rewrite with a denominator of 10
(6-3)/10 = subtract numerators
3/10 already in simplest form
Answer:
3/5
Step-by-step explanation:
You don’t need a common denominator when subtracting
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
A table showing Discount Cards Fundraiser with two columns and six rows. The first column, Cards Sold, has the entries, 10, 20, 30, 40, 50. The second column, Remainder of Goal, has the entries, $875, $795, $715, $635, $555.
Which word describes the slope of the line representing the data in the table?
zero
undefined
negative
positive
5
9
The word that describes the slope of the line representing the data in the table is "negative."
To determine the slope of the line representing the data in the table, we need to examine the relationship between the number of cards sold and the remaining amount of money needed.
Looking at the given data, we observe that as the number of cards sold increases, the remaining amount of money needed decreases. This indicates an inverse relationship between the two variables.
The slope of a line represents the rate of change between two variables. In this case, the slope is negative because the line decreases as we move from left to right.
Therefore, the word that describes the slope of the line representing the data in the table is "negative."
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Given f(x) = log2 (x+2), complete the table of values for the function -f(x) - 3. Show your work.
Answer:
-6
Step-by-step explanation:
If we convert the first function to the second form we get f(x) = -log2 (x+2) - 3. If we replace x with 6 we get ( -log2 8 ) -3. -log2 8 is equal to -3. -3 - 3 = -6.
will the square roots of perfect squares always be irrational numbers
No, the square roots of perfect squares always do not be irrational numbers.
We need to describe whether the square roots of perfect squares always be irrational numbers.
What are perfect squares?A perfect square is a positive integer that is obtained by multiplying an integer by itself. In simple words, we can say that perfect squares are numbers that are the products of integers by themselves. Generally, we can express a perfect square as x², where x is an integer and the value of x² is a perfect square.
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0).
So, the square roots of perfect squares are rational numbers and can be placed on a number line. The square roots of non-perfect squares are irrational numbers.
No, the square roots of perfect squares always do not be irrational numbers.
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What is 145% of 8000? Round to the nearest hundredth
Answer:
Step-by-step explanation:look it up
What is the quotient of 9-x2/
3x
and
x2 +6x+9/
3x?
44 rem
Im sorry if its wrong
A rectangular prism has a base area of 17 cm², and a height of 5 centimeters. What is the volume of the prism?
Answer:
85cm^3
Step-by-step explanation:
Volume = Base Area * Height
17*5=85
Find the unit rate. 3/8 mile in 3/4 hour
We are required to find the unit rate, that is, miles per hour
The unit rate is 1/2 miles per hourNumber of miles = 3/8 mileNumber of hours = 3/4 hourTherefore, unit rate = = 3 / 8 ÷ 3/4= 3 / 8 × 4/3= 12/24= 1/2Read more:
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Please answer ASAP
Will give Brainleist
Answer:
51
Step-by-step explanation:
range = highest number - lowest number
54 - 3 = 51
Please Help! FAST! Multiple Choice! Brainlest!
Answer:
B is the answer
Step-by-step explanation:
the rulers at store a cost much
Q1.
The diagrams show the inside of a 13-amp plug.
(a) (1) Which one of the plugs, A, B, C or D. is correctly wired?
Write your answer, A, B, C or D. In the box.
Brown-
Green and yellow
Blue
Blun
Brown
Green and yellow
N
C
SE
E
Green and yellow-
Blue
Brown
Green and yellow
Brown
Blue
B
(0) What material is the outside casing of a plug made from?
D
The plug that is correctly wired is
(1)
(1)
Answer: The material of the outside casing of a plug is not given in the question.
To determine which plug is correctly wired, we need to look for the wiring configuration that follows the standard color coding used in the UK. According to the question, the colors used for the wires are brown (live), green and yellow (earth), and blue (neutral).
Looking at the options, we can see that plug A has the correct wiring configuration, where the brown wire is connected to the fuse (F), the green and yellow wire is connected to the top pin (E), and the blue wire is connected to the left pin (N). Plug B has the brown and blue wires swapped, Plug C has the green and yellow and blue wires swapped, and Plug D has the brown and green and yellow wires swapped.
Therefore, the plug that is correctly wired is Plug A.
Step-by-step explanation:
Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting
Answer:
Intersecting (fourth answer choice)
Step-by-step explanation:
If the lines are perpendicular, parallel, or intersecting, they are not skew. Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first. If the lines are classified as neither, then they are skew.First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where
m is the slope,and b is the y-intercept.Converting y - 3x = 4x to slope-intercept form:
(y - 3x = 4x) + 3x
y = 7x
Thus, the slope of this line is 7 and the y-intercept is 0.
Converting 6 - 2y = 8x to slope-intercept form:
(6 - 2y = 8x) - 6
(-2y = 8x - 6) / -2
y = -4x + 3
Thus, the slope of this line is -4 and the y-intercept is 3.
Checking if y = 7x and y = -4x + 3 are perpendicular lines:
The slopes of perpendicular lines are negative reciprocals of each other.We can show this in the following formula:
m2 = -1 / m1, where
m1 is the slope of one line,and m2 is the slope of the other line.Thus, we only have to plug in one of the slopes for m1. Let's do -4.
m2 = -1 / -4
m2 = 1/4
Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.
Checking if y = 7x and y = -4x + 3 are parallel lines:
The slopes of parallel lines are equal to each other.
Because 7 and -4 are not equal, the two lines are not parallel.
Checking if the lines intersect:
The intersection point of two lines have the same x and y coordinate. To determine if the two lines intersect, we treat them like a system of equations.Method to solve the system: Elimination:
We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:
add the two equations, eliminate the ys, and solve for x:-1 (y = 7x)
-y = -7x
----------------------------------------------------------------------------------------------------------
-y = -7x
+
y = -4x + 3
----------------------------------------------------------------------------------------------------------
(0 = -11x + 3) - 3
(-3 = -11x) / 11
3/11 = x
Now we can plug in 3/11 for x in y = 7x to find y:
y = 7(3/11)
y = 21/11
Thus, x = 3/11 and y = 21/11
We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3. If we get the same answer on both sides of the equation for both equations, the lines intersect:
Checking solutions (x = 3/11 and y = 21/11) for y = 7x:
21/11 = 7(3/11)
21/11 = 21/11
Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:
21/11 = -4(3/11) + 3
21/11 = -12/11 + (3 * 11/11)
21/11 = -12/11 + 33/11
21/11 = 21/11
Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).
This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.
Omar has 2 3/4 cups of dough to make dumplings.if he uses 3/16 cup of dough for each dumpling, how many whole dumplings can Omar make.
1st Answer:
2 3/4 cups of dough divided by the amount used for each dumpling 3/16
would be
11/4/3/16=
=44/3
=14 2/3
which would be about 14 whole dumplings!
Find the lengths of AD, EF, and BC in the trapezoid below.
We know that,
\(EF=\dfrac{AD+BC}{2}\)
which is
\(x=\dfrac{x-5+2x-4}{2}\)
Now solve for x,
\(x=\dfrac{3x-9}{2}\)
\(2x=3x-9\)
\(x=9\)
Since x is 9, the lengths are,
\(AD=x-5=9-5=\boxed{4}\)
\(EF=x=\boxed{9}\)
\(BC=2x-4=18-4=\boxed{14}\)
Hope this helps :)
y+2=3(x + 1)
graph?
Answer and Step-by-step explanation:
First, solve for y and combine like terms. Then graph.
y = 3x + 3 - 2
y = 3x + 1
Here is the graph:
#teamtrees #WAP (Water And Plant)
find the constant of proportional (r) in the equation y = rx
Answer:
Constant of proportionality,
Step-by-step explanation:
Constant of proportionality states that the constant value of the ratio of two proportional quantities x and y,
it is written in the form of y = kx, where k is the constant of proportionality.
Given the equation: .....[1]
where r is the constant of proportionality.
From the table we consider
x = 14 and y = 1.4
Substitute these given values in [1] to solve for r;
Divide both sides by 14 we get;
therefore, the Constant of proportionality,
What is it? I’m taking a math test and It for a 100 points so could y’all help me out
Answer:
A.
Step-by-step explanation:
5x100= 500
6x10= 60
7x1= 7
500+60+7= 567
Answer:
The answer is A
Step-by-step explanation:
(5*100)+(6*10)+(7*1)
500+60+7 = 567
You spin each spinner and find the sum. How many different sums are possible?
these are the spinners:
The different sums are possible are 18.
As, the number of different sums possible is given by the equation:
Number of different sums = n x m
In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.
So, the different sums are possible
= 2 x 3 x 3
= 18
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Evaluate 9(-2)
What’s the answer for this
Answer:
-18
Step-by-step explanation:
just multiply 9 and -2, and you'll get -18
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y ≤ x2 – 3
y > –x2 + 2
The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Inequality is an expression that shows the non equal comparison of two or more numbers and variables
The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.
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The graphs of f(x) and g(x) are transformed function from the function y = x^2 and the solution of the set of inequalities is (±1.581, -0.5)
How to modify the graphsThe complete question is in the attached image (the first graph)
From the graph, we have:
f(x) = x^2 - 3 and g(x) = -x^2 + 2
To derive y ≤ x^2 - 3, we simply change the equality sign in the function f(x) to less than or equal to.
To derive y > -x^2 + 2, we simply change the equality sign in the function g(x) to greater than
How to identify the solution setThe inequalities of the graphs become
y ≤ x^2 - 3 and y > -x^2 + 2
From the graph of the above inequalities (see attachment 2), we can see that the curves of the inequalities intersect at (±1.581, -0.5)
Hence, the solution of the set of inequalities is (±1.581, -0.5)
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A popular beach currently has 88 visitors, and 28 of them are sunbathing. What is the probability that a randomly chosen beachgoer is sunbathing? Write your answer as a fraction or whole number.
The probability that the randomly selected person is taking a sunbath is 7/22.
Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
So, the probability formula is:
P(E) = Favourable events/Total events
Now, insert values in the formula as follows:
P(E) = Favourable events/Total events
P(E) = 28/88
P(E) = 14/44
P(E) = 7/22
Therefore, the probability that the randomly selected person is taking a sunbath is 7/22.
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