Therefore, the players are 6.84 meters apart from each other.
What is a projectile?An item that is propelled by the application of an external force and then travels freely while being affected by gravity and air resistance is referred to as a projectile. Projectiles are generally used in sports and combat, despite the fact that every item traveling through space is a projectile.
What is tangent?The straight line that traverses a point with a slope equal to the derivative of the curve at that location is said to be the tangent line to a plane curve at that point in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.
If we let x be the distance between the players, then we can use the tangent function to relate the angle of elevation to the distance between the player and the basket:
tan(40°) = 3.5/x
tan(50°) = 3.5/(x+1)
We can solve for x in both equations, and set them equal to each other, we get x= 6.84m
Therefore, the players are 6.84 meters apart from each other.
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need help with these 4
Thus, It is possible to visually assess whether a limit exists as x approaches a by looking at the function f (x) and g (x) graphs, which are 1 and 5 when x is very close to x=a.
How would you define limit?In mathematics, a limit is the value that a function, a sequence, or an index approaches as an input or an index gets closer to a particular value. Limits are essential to the study of calculus and mathematical analysis since they are used to define continuity, derivatives, and integrals.
Here,
From the function f (x) and g graphs shown here ( x)
1) lim f (x) plus lim g ( x )
= -1 + 2 = 1
2) f (-1) + lim g ( x)
= 3 + 2
= 5
Therefore , the solution of the given problem of limit comes out be 5.
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12. Sarah uses long division to convert
a rational number 2 to a decimal.
P
Which of the following statements
cannot be true?
A. The decimal form of P
q
terminates with a zero in the
tenths place.
B. The decimal form of P
eventually repeats.
C. The decimal form of never
terminates or repeats.
D. The decimal form ofis 0.
On solving thr provided question, by help of arithmetic progression, we got to know that a10 = 207
what is arithmetic progression?There are two approaches to define arithmetic progressions (AP): The difference between any two successive terms in an arithmetic sequence must always be equal, and it is sometimes referred to as a series in which all terms except the first are created by adding a predetermined number to the preceding term.
9,15,25..............
15-9 = 6
25-15 = 10
a4 - 25 = 14 => a4 = 39
frequently referred to as a series in which all terms save the first are formed by adding a predefined number to the preceding term since the difference between any two succeeding terms in the sequence must always be equal.
a5-39 = 18 => a5 = 57
a6-57 = 22 => a6 79
...
...
...
...
...
a10 - 169 = 38 => a10 = 207
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How is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used?
We find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.
What is the tangent of the angle?
The ratio of the right-angle triangle's base or perpendicular is known as the tangent of the angle.
The ratio of two of the right-angled triangle's three sides is used to define the sine, cosine, and tangent of an acute angle.
Here,
We have to find out how is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used.
We concluded that a right triangle can be used to determine the tangent of any acute angle, by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.
Hence, we find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.
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(2, -4) and (-3, -3) write the linear equation in slope intercept form given the following
Answer:
y = -1/5x - 3.6
Step-by-step explanation:
(2, -4) and (-3, -3)
m = -3+4/ -3-2
m = 1/-5
m = -1/5
y = -1/5x + b
-4 = -1/5(2) + b
-4 = -0.4 + b
b = -3.6
y = -1/5x - 3.6
BOUNDS QUESTION GCSE MATHS - A race is measured to have distance of 10.6km, correct to the next0.1km. Sam runs the race in a time of 31 minutes 46seconds, correct to the nearest second.
Sam's average speed in this race is Vkm/hour.
By considering bounds, calculate the value of Vkm to a suitable degree of accuracy. You must show your work and get reasons for your answer. [5 MARKS]
The average speed of Sam's race car is equal to 20 kilometers per hour.
How to determine the average speed of a race car
In this question we find the case of a race car being displaced in a race whose length (s) is 10.6 kilometers, a distance traveled in a time (t) of 31 minutes and 46 seconds (1906 seconds). The average speed (v), in kilometers per hour, is described by the following formula that assumes an hypothetical constant speed:
v = s / t
Where:
s - Distance, in kilometers.t - Time, in hours.First, convert time into hours:
t = (31 min) · (1 hour / 60 min) + (46 s) · (1 hour / 3600 s)
t = 0.529 h
Second, calculate the average speed:
v = (10.6 km) / (0.529 h)
v = 20.038 km / h
v = 20 km / h
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What’s the slope of the line graphed below?
Answer:
slope = (3/2)
Step-by-step explanation:
point 1: (-1, 1); Point 2: (1, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - 1 3 3
----------- = ------------ = --------- = -------
x₂ - x₁ 1 - (-1) 1 + 1 2
I hope this helps!
A card is picked at random from a standard deck of cards. What is the sample space for this experiment if you were trying to find P(face card)? a. Sample space = 12 b. Sample space = c. Sample space = d. Sample space = 52
The sample space of the experiment is 52.
What is probability?The possibility that an event will occur among all potential events is known as probability. It ranges from 0 to 1. The probability is calculated by dividing the number of things by all of the items. Population includes the sample. When studying the entire population is challenging, it is studied.
52 cards in a deck
There are 12 face cards.
The experiment needs a sample space of 52 to find the face cards.
Given that a regular deck of cards is available.
The sample space required for the experiment to determine the probability of face cards must be found.
A face card may or may not be revealed when we pull a card from the deck. So, in order to rule out the possibility that a face card is present at the end of the deck, we must draw every card from a regular deck.
52 samples are therefore required for the experiment.
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What is the 36th term of 12,17 and 22
a=12,d=17-12=5
nth term =a+(n-1)d
36th term=12+(36-1)5
=12+(35×5)
12+175
36th term=187
Answer: 187
Step-by-step explanation: 17 - 12 = 5 and 22 - 17 = 5
aₙ = a₁ + (n - 1) d
where a₁ = 12, n = 36, d = 5
a₃₆ = 12 + (36 - 1) 5
a₃₆ = 12 + 35 × 5
a₃₆ = 12 + 175
a₃₆ = 187
187 is the 36th term
You're working late one night and notice that the hard drive on your new computer is very active even though you aren't doing anything on the computer and it isn't connected to the Internet. What is the most likely suspect?
Answer:
The most likely suspect for the hard drive being very active even though the computer is not being used and is not connected to the Internet is malware. Malware is a type of software that is designed to cause harm to a computer system, and it can often run in the background without the user's knowledge.
On a negatively skewed curve, which is true?
The answer is On a negatively skewed curve ,The mean is lower than the median, which is lower than the mode
What is Negatively skewed curve?When a distribution is negatively skewed in statistics, more values are concentrated on the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.
A longer or fatter tail on the left side of the distribution is referred to as negative skew, whereas a longer or fatter tail on the right is referred to as positive skew. The direction or weight of the distribution is indicated by these two skews.
The distribution's mean, median, and mode are referred to as its central tendency. The fact that the usually skewed data's mean, median, and mode are all equal illustrates how equally distributed wealth and income are, as well as the importance of government initiatives and economic growth.Because the negative side is so weighted, the distributions have a large gap. The data, for instance, includes income distributionin negatively skewed distribution, data shows the unequal distribution, the central tendency shows as under:Mode > Median > Mean.
Examples of negatively skewed curveUniversity exams. The tests are the same, yet a small fraction of students receive zero, average, or high percentage scores, indicating a negative skewed distribution of the data.The human Life cycle ,As many people live ordinary lives, some live very short lives, and some live very long lives in terms of age, the human life cycle is another illustration of a negatively skewed distribution.What causes a negatively skewed distribution?When the long tail is on the distribution's left side, the distribution is said to be left skewed. They are also referred to as negatively skewed by statisticians. Probabilities taper off more slowly for decreasing values, which causes this circumstance.
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PLEASE HELP GIVING BRAINLIESTTTTTT
Simplify the expreion. The expreion negative one fifth j plu three fourth minu the expreion five halve j plu even eighth negative 27 over 10 time j plu negative 1 over 8 27 over 10 time j plu 1 over 8 negative 23 over 10 time j minu 13 over 8 negative 23 over 10 time j plu 13 over 8
The simplified value of the given expression ⇒ [(-1 / 5 j) + (3 / 4) - 5 / 2j - (7 / 8)] is computed at ⇒ [(-27 / 10 j) - (1/ 5)]
An algebraic expression is one that was created in mathematics by using integer variables, constants, and algebraic operations.
However, since they are not produced by using integer constants and algebraic operations, transcendental numbers like such and e are not algebraic. The production of is commonly stated as a geometric expression, although the definition of e requires an infinite number of algebraic operations. An expression can be reduced to a rational fraction by using the properties of arithmetic operations.
You can write the given expression as:
⇒ (-1 / 5 j) + 3 / 4 - 5 / 2j - 7 / 8
When we simplify the formula and apply the fractional operations to the result, we get:
⇒ (-27 / 10 j) - (1/ 5)
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How do you write a function in Gee?
This is a function that takes in a geometry object as an input and calculates its area. It then returns the calculated area as an output.
1. Create a function with the desired name and parameters. In this case, the function is called “getArea” and takes in a geometry object as a parameter:
function getArea(geometry)
2. Calculate the area of the geometry using the “area” function in GEE:
var area = geometry.area();
3. Return the calculated area:
return area;
4. End the function:
This function will take in a geometry object and return its area. This can be used to calculate the area of any geometry, such as a polygon or a line. This is a useful function for GEE applications, as it can be used to quickly calculate the area of any given geometry.
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The coordinates of a triangle are: R(-4,4) S(-2,-2) T(2, 3) Brian determined A RST was a scalene triangle, but he wanted to the find the lengths of the three sides. Complete the table to determine the three side lengths of ARST. 37 38 140 141 length of RS length of ST length of TR
The length of the sides RS, ST and TR are √72, √41 and √37 in the scalene triangle RST.
The distance between any two points A(a,b) and B(c,d) in the plane is given by,
AB = √((c-a)²+(d-b)²)
Here, it is given that the points of the triangle are R(-4,4) S(-2,-2) T(2, 3).
The triangle is scalene so length of every side is different.
Now, Using the above formula,
RS = √((2+4)²+(-2-4)²)
RS = √(36+36)
RS = √72
ST = √((2+2)²+(3+2)²)
ST = √(16+25)
ST = √41
TR = √((2+4)²+(3-4)²)
TR = √(36+1)
TR = √37
So, Brian is correct, the triangle is a scalene triangle.
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The sample points of a sample space are a equally likely events. b equally unlikely events. c simple events. d complex events.
The correct option is option A , the sample points of a sample space are equally likely events.
In probability when two the occurrence of two events are having a 50 - 50 possibility then those two events are said to be equally likely events. Example , on tossing a coin the probability of getting a H or a tail is 1/2 . Therefore, these events are said to be equally likely events.
Probability is a field of mathematics which tells us about the possibility of occurrence of an event. P = number of favorable outcomes / total number of outcomes , is the formula to calculate probability.
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How do you write an expression in factored form?
To write an expression in factored form, its products needs to be deduced.
What is an expression?
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Factoring is the process of representing a given number or algebraic statement as the product of its components.
For example - Consider the binomial 3x^2-9x.
On simplifying it -
3x^2-9x = 3x(x-3)
So, here 3x^2-9x is the expanded form and 3·x·(x-3) is the factored form.
Another example is - Consider y^2-100.
The terms used here can all be expressed as squares.
y^2 − 100 = y^2 − 10^2
(y + 10)(y − 10)
The factors in this case are (y + 10) and (y - 10).
Therefore, the products are the factors of an expression.
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To the nearest pound, Tim has £8
To the nearest 50p, Sue has £4. 50
Work out the maximum possible total amount of money.
Give your answer in pounds (£).
The maximum possible total amount of money would be = 13.23 £
What is Linear Equation ?
Linear Equation can be defined as the equation in which the highest degree of the variable is one.
Given,
To the nearest pound, tim has £8
To the nearest 50p, sue has £4.50
so, to the nearest pound, tim has £8
=> 7.5 ≤ Tim has < 8.5
sue has £4.50
to the nearest 50 p
=> 4.25 ≤ Sue < 4.75
=> possible total amount of money
= 7. 5 + 4.25 ≤ Amount < 8.5 + 4.75
=> 11.75 ≤ Amount < 13.25
maximum possible total amount of money would be less than 13.25
and in term of paisa maximum < 4.75 = 4.74
and maximum less than < 8.5 = 8.49
Hence maximum possible total amount of money would be = 13.23 £
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tell which number is greater 56%, 5.6.
Answer:
5.6
Step-by-step explanation:
56% = 0.56
5.6 > 56%
Estimate how many times larger 6.1 • 10^7 is than 2.1 • 10^-4
Answer:
Estimation: 300 Billion times bigger
Actual: 290 Billion times bigger
Step-by-step explanation:
Lets group the coefficients together and the exponents together.
[tex](\frac{6.1}{2.1})(\frac{10^7}{10^{-4} })[/tex]
We can round 6.1 to 6.
We can round 2.1 to 2.
[tex](\frac{6}{2})(\frac{10^7}{10^{-4} })[/tex]
[tex](3)(\frac{10^7}{10^{-4} })[/tex]
Subtract the exponent from the denominator from the exponent of the numerator.
[tex](3)(10^{7-4*1} )[/tex]
[tex](3)(10^{7+4} )[/tex]
[tex](3)(10^{11} )[/tex]
[tex]3*10^{11}[/tex]
[tex]10^{11}[/tex] is 100 billion.
3 times 100 billion is 300 billion.
NEED HELP ASAPP 100 POINTSSS
Answer:
Statement 1) Corresponding angles
Statement 2) Congruent
Statement 3) 150 degrees
Statement 4) Vertical Angles
Statement 5) Congruent
Statement 6) 150 degrees
Statement 7) Alternate exterior angles
Statement 8) Congruent
Statement 9) Alternate Interior angles are congruent
Step-by-step explanation:
Explanation:
1) I've learned this before
2) Not all Corresponding angles are obtuse
3) Corresponding angles have the same measure
4) I've learned this before
5) Vertical Angles are congruent
6) Same reason as before
7) I've learned this before
8) Alternate Interior angles are congruent
9) I've learned this before
Please mark me the brainliest! Thank you!
Ali is collecting signatures for a petition. He currently has 520 signatures. He has 6 more weeks to collect the remaining signatures he needs. He needs a total of at least 1,000 signatures before he can submit the petition. Ali wants to collect the same number of signatures each week. Write and solve the inequality for the situation
An inequality that represents the number of signatures Ali needs to collect in each of the remaining weeks so that he will have enough signatures to submit the petition: 520 + 6m ≥ 1000
and the minimum number of signatures he needs to collect = 80
Given that Ali wants to collect the same number of signatures each week.
Assume that Ali collects m number of signatures each week.
He has 6 weeks to collect the remaining signatures he needs.
So, by unitary method in 6 weeks the number of signatures he would collect:
6 × m
He currently has 520 signatures and he needs a total of at least 1,000 signatures before he can submit the petition.
so, we get an inequality.
520 + 6m ≥ 1000
We solve above inequality.
6m ≥ 1000 - 520
m ≥ 480/6
m ≥ 80
Ali needs to collect at least 80 signatures, so that he will have enough signatures to submit the petition.
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Which statement is correct?
Answer:
B. ST and TK intersect at a 90 degree angle.
I know this because you can see that in between STK, there is a square in the corner indicating a 90 degree angle.
Step-by-step explanation:
Hope it helps! =D
Given the circle below with chords NO and PQ. Find the length of OR. Round to the nearest tenth if necessary.
Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.
Circle – what is it?A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²
Here,
For each secant, the sum of the lengths from R to the circle's intersection points is the same:
=>RS*RT = RQ*RP
=>40(40 +31) = (44)(PQ +44)
=>40(71)/44 = PQ +44
=>PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11
=>PQ ≈ 20.5
Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.
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What is a 7th interval?
A seventh interval is a chord that consists of a triad and the notes that form the seventh chord above the root of the chord. Unless otherwise stated, "7th chord" usually means the dominant 7th chord, i.e. major triad and minor 7th chord.
The 7th interval, simply called 'September', is the pitch difference between the root note and the 7th note of the diatonic scale.
Sounding the seventh above the root of the chord as his fourth note, along with the other three notes of the dominant chord, strengthens the "suspension" inherent in the function of the dominant chord, and the expected chord Increases mitigation of return to tonic.
So instead of playing "G-B-D" (Sol-Si-Re) as the dominant "C" (Do), we play "G-B-D-F" (Sol-Si-Re-Fa).
The harmonic power of the "7th interval" is so strong that some or all of his three other notes in the chord are omitted, allowing them to be visualized in the listener's ear .
In music theory, the minor seventh is one of two intervals spanning seven staff positions. It's the smaller of two sevenths, and it's minor because it spans ten semitones. A major seventh spans 11 degrees. For example, the interval from A to G is a minor seventh. This is because the G note is ten semitones above his A, and his seven staves from A to G. Diminished 7th and increased 7th have the same number of staves, but a different number of semitones (9 and 12 respectively).
Minor sevenths are rare in melodies (especially in openings), but more common than major sevenths. The most famous example, often used in theory classes, occurs between the first two words of the phrase "There's a place for us" in the West Side Story song "Somewhere." Another well-known example occurs between his two notes at the beginning of the introduction to the music of the main theme of Star Trek: The Original Series.
Complete Question:
What is personification class 7th?
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Function rules from equations
For a given input value q, the function f outputs a value r to satisfy the following equation.
11g 4= 3r6
Write a formula for f(g) in terms of q.
f(q) =
Stuck? Review related articles/videos or use a hint.
Report a problem
On solving the provided question, we can say that - 11g +4= 3r-6 the value of this equation is -10/3
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
11g +4= 3r-6
g = 0
3r = -10
r = -10/3
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Why do we use log e?
log with base 10 is mainly used to simplify manual computation and it is also related to the decimal system. if we calculate the log of any variable with base 10, then an integer just greater than that calculated value gives the number of digits in that number.
likewise, log with base 2 is used in digital and computer applications where binary system prevails.
The worth of log e is around equal to 0.4342944819 where log e has a base value equal to 10.
1. The value of log e base 10 is around equal to 0.4342944819.
2. The value of log e with base e, that is, ln the e value is equal to 1.
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I need help on these questions please help . ignore the writing
You will always get one triangle. This is because of the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles of a triangle is always 180°.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon.
The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
The inner angles of every triangle sum up to 180°, 180°, 180°, 180°. Angles in a triangle are the total (sum) of the angles at each of its three vertices.
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Rewrite the expression (2t+6)+7t in the simplest form show your work.
Answer:
14t²+42t
Step-by-step explanation:
So you're basically going to use distributive property.
(2t+6)+7t is the same as, (2t)7t + 6(7t).
2t(7t)= 14t² and 6(7t)= 42t.
Combine the two answers and you get 14t²+42t.
14t²+42t is the simplest form you can get to.
Which segment is the shortest?
the smallest angle will yield the shortest opposite side, likewise the largest angle will yield the largest side, Check the picture below.
Why is commutative property of addition important?
When adding multi-digit numbers, it's a good idea to employ the commutative property. However, counting up becomes simpler if pupils are aware that they can change the order of the addends and begin adding with the larger number FIRST.
What does the addition's commutative property mean?According to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added. The commutative property of addition can be defined as the fact that adding two integers in any sequence results in the same result. Here, a and b may be fractions, decimals, whole numbers, or even integers.
For instance, 1+2=2+1 and 2x3=3x2.
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Need answer quick 65 points and brainlyest
Graph using this picture
y+4=25(x−3)
The linear function y = 25x - 79 is plotted on a graph with x - intercept at 3.16
What is Graph of Linear FunctionA graph of a linear function is a line that goes through the origin (0, 0). The line can be described by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line can be positive, negative, zero, or undefined.
In this problem, the linear function given y + 4 = 25(x - 3) can be written in slope - intercept form and then plotted in a graph using a graphical calculator.
y + 4 = 25(x - 3), the linear function can written;
y + 4 = 25(x - 3) = y + 4 = 25x - 75 ;
This becomes y = 25x - 75 - 4;
Collecting like terms
y = 25x - 79
Plotting this on a graph;
The line passes through the x - axis at 3.16 which is the x - intercept
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