Answer:
13.6
Step-by-step explanation:
Remember SOH CAH TOA
We're going to use tangent = opposite / adjacent because the 11 is opposite theta (39 degrees) and x is adjacent to it.
tan (39) = 11 / x
x = 11 / tan(39)
x = 13.584 -> 13.6 (rounded to nearest tenth)
Note: Make sure your calculator is in degree mode.
Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles
Answer:
Earth's circumference is approximately 25,120 miles because if you plug in 8,000 and 3.14 into the formula C = πd, C = 25,120.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Jackie made the same
amount of bracelets for
8 days. Write an expression
for the number of bracelets
made.
Jackie made 12 bracelets each day and the equation used to represent this is 8x = 96. The solution has been obtained using the concept of simplification.
What is simplification?
In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.
We are given that Jackie made bracelets for 8 days and when he was done he had 96 bracelets with him.
Let 'x' be the number of bracelets made by Jackie each day
So, we get
⇒8x = 96
⇒x = 96/8
⇒x = 12
Hence, Jackie made 12 bracelets each day and the equation used to represent this is 8x = 96.
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Question: Jackie made bracelets for 8 days. When he was done he had 96 bracelets Write equation to express how many bracelets Jackie made each day.
The Kitchen committee purchased 76 boxes of cookies for Vacation Bible School,
Monday, 14 2/3 boxes were used; Tuesday 15 boxes; and Wednesday 13 3/4 boxes.
How many boxes were used during the three days?
(Write the operation and the answer)
Sylvia bikes home along a straight road from her friend's house, a distance of 8 miles,
The graph shows her journey
Answer:
what is the question and what is the graph
Step-by-step explanation:
Work out the shaded area of this shape.
Answer:
73
Step-by-step explanation:
what is 5/6- 2/5 in a fraction
Answer:
5/6 - 2/5 = 13/30
I hope this helps
Step-by-step explanation:
Answer:
2/7 +3/8
2 × 8
7 × 8
+
3 × 7
8 × 7
=
16
56
+ and your answer is 37/56
Step-by-step explanation:
6.4x1.2= IN DISTRIBUTIVE PROPERTY
0.2(32+6)
0.2 times 32 is 6.4
0.2 times 6 is is 1.2
there are a large number of genetically based blood group systems that have been used for typing blood. two of these are the rh system (with blood types rh and rh-) and the kell system (with blood types k and k-). it is found that any person's blood type in any one system is independent of his or her blood type in any other. it is known that, for europeans in new zealand, about 81% are rh and about 8% are k . if a european new zealander is chosen at random, what is the probability that he or she is either positive in both systems or negative in both systems?
Therefore, the probability that a European New Zealander chosen at random is either positive in both systems or negative in both systems is approximately 0.2396.
To find the probability that a European New Zealander is either positive in both systems or negative in both systems, we can use the principle of multiplication for independent events.
Given:
Probability of being Rh+ (positive in the Rh system) = 81%
= 0.81
Probability of being Rh- (negative in the Rh system) = 1 - 0.81
= 0.19
Probability of being K+ (positive in the Kell system) = 8%
= 0.08
Probability of being K- (negative in the Kell system) = 1 - 0.08
= 0.92
Since the blood types in each system are independent, we can multiply the probabilities to find the joint probability of being positive in both systems or negative in both systems:
Probability of being positive in both systems = P(Rh+ and K+)
= P(Rh+) * P(K+)
= 0.81 * 0.08
= 0.0648
Probability of being negative in both systems = P(Rh- and K-)
= P(Rh-) * P(K-)
= 0.19 * 0.92
= 0.1748
To find the total probability, we sum the probabilities of being positive in both systems or negative in both systems:
Probability of being either positive in both systems or negative in both systems = P(Rh+ and K+) + P(Rh- and K-)
= 0.0648 + 0.1748
≈ 0.2396
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Magda wants to compare the population density of the two largest countries in the world. She can use this formula. K=P 2.59 M K = population density (people per km2) P = population (millions) M = land area (million square miles) Canada has a population density of 3.57 people per km2 Russia has • a population of 143.96 million • a land area of 6.593 million square miles. Magda thinks that Russia has a greater population density than Canada. Is Magda correct? Show why you think this.
Answer:
Magda is incorrect
Step-by-step explanation:
Given
Formula:
\(K = \frac{P}{2.59M}\)
Population Density of Canada = 3.57 people per km²
Population of Russia = 143.96 million
Land Mass of Russia = 6.593 million square miles
Required
Which country has a greater population density.
First, the population density of Russia needs to be calculated using the given formula;
\(K = \frac{P}{2.59M}\)
Here, P = 143.96 million
M = 6.593 million square miles
Substitute these values in the above formula;
\(K = \frac{143.96}{2.59 * 6.593}\)
\(K = \frac{143.96}{17.07587}\)
\(K = 8.43\) people per square miles
Before we can make any comparison, we have to convert the unit of K to people per square kilometre.
From unit of standard conversion;
1 square miles = 2.58999 square kilometre
Hence;
\(K = \frac{8.43}{2.58999}\)
\(K = 3.25483882177\)
\(K = 3.25\) people per km²
Given that the Population Density of Canada = 3.57 people per km²
And We solved for the Population Density of Russia = 3.25 people per km²
By Comparison, the Population Density of Canada is greater than the Population Density of Russia;
Hence, Magda is incorrect
Function p is a _____ function
Exponential, quadratic, linear)
When the length of the tomato patch is 8 feet, the area of the bell pepper patch is ______ square feet
(1. 5, 12, 18, 16)
The maximum possible area of the bell pepper batch is _____ square feet when the
(16, 12, 20, 18)
length of the tomato patch is _____ feet
(6, 12, 18, 20)
Function p is a Exponential function .The maximum possible area of the bell pepper patch is 18 square feet when the length of the tomato patch is 12 feet.
When the length of the tomato patch is 8 feet, the area of the bell pepper patch cannot be determined without more information about the function p.
The maximum possible area of the bell pepper patch is 18 square feet when the length of the tomato patch is 12 feet. This implies that the function p has a maximum value of 18 at x = 12.
Therefore, the answer is:
Function p cannot be classified without more information.
When the length of the tomato patch is 8 feet, the area of the bell pepper patch cannot be determined without more information about the function p.
The maximum possible area of the bell pepper patch is 18 square feet when the length of the tomato patch is 12 feet.
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Help please!!!!!!!!!!!!!!!!!
Mr ken has saved $5000. He will withdraw and spend $250 per month. What function can be used to find y, the total amount in ken’s saving account after x number of months?
The required function be y = 5000 - 250x.
Given that,
Amount of saving = $5000
Amount of withdraw and spend = $250
Number of months = x
If the total money in Ken's savings account after x number of months is represented by y,
Then, to calculate the entire amount in his savings account after x number of months, the program deducts 250x from the beginning amount of $5000.
Therefore, The function be,
y = 5000 - 250x
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9,945 / 6,444,000 / the decimal
The decimal expression for 9945/6444000 is 0.001543296...
To obtain it, follow this steps:
First, write both numbers in this arrangement:
Notice where the decimal point is placed.
Next, pick digits from the number 9945 from left to right until you have
that you
Jack Cobb signed a simple discount note with a face value of $12000 at a discount rate of 14% for 7 months. Find the proceeds of the note and the effective interest rate
Answer:
Proceeds = $11020
Effective interest rate = 15.2%
To find the proceeds of the note, we will subtract the bank discount from the face value
\(Discount=12000\times0.14\times\frac{7}{12}=980\)\(\text{Proceeds}=12000-980=11020\)\(R=\frac{I}{PT}\)\(R=\frac{980}{(11020)(\frac{7}{12})}\)\(R=0.15245=15.2\%\)Which scenarios involves right triangles?
Wyatt walked 6 meters in a northerly direction, 9 meters in an easterly direction, and 12 meters back to his starting point.
A window frame has a width of 3 feet, a height of 4 feet, and a diagonal of 4 and StartFraction 11 Over 12 EndFraction feet.
The three lengths of a triangular sail are 12 feet, 16 feet, and 20 feet.
A triangular bike path has lengths of 6 miles, 9 miles, and 10 miles.
Answer:
C, the three lengths of a triangular sail are 12 feet, 16 feet and 20 feet
Step-by-step explanation:
Just did the test
Answer:
C
Step-by-step explanation:
An object moves in the xy-plane so that its position at any time tis given by the parametric equations x(t) = t° - 3t + 2 and y (t) = /t² + 16. What is the rate of change of y with respect to x when t = 3 ? A 1/90 B 1/15 3/5 D 5/2
The rate of change of y with respect to x when t = 3 is = 3/25 and the answer is not one of the options given.
How to determine of rate of change y with respect to x?An object moves in the xy-plane so that its position at any time tis given by the parametric equations x(t) = t° - 3t + 2 and y (t) = /t² + 16.
To find the rate of change of y with respect to x, we need to find dy/dx, which can be computed using the chain rule of differentiation:
(dy/dt) / (dx/dt) = dy/dx
We first compute dx/dt and dy/dt:
dx/dt = 1 - 3 = -2
dy/dt = 2t / (t² + 16)
When t = 3, we have:
dx/dt = -2
dy/dt = 2(3) / (3² + 16) = 6/25
Therefore, the rate of change of y with respect to x when t = 3 is:
(dy/dt) / (dx/dt) = (6/25) / (-2) = -3/25
So, the answer is not one of the options given.
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a measurable part of a line that consists of two points, called endpoints, and all of the points between them are
A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.
Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.
\( \bar{AB}\)
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are the following statements true or false? false 1. if two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. false 2. if is zero, then two rows or two columns are the same, or a row or a column is zero. false 3. the determinant of is the product of the diagonal entries in . false 4. .
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
What is matrix ?
A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,
1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.
2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.
3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.
4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
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Please helpppp.I need to get my grade up and this will get it up!!
Answer:
It should be 15 weeks
Step-by-step explanation:
if you look at the graph you can see every two weeks it goes down by 100, go to the end of the graph and continue from there. you should get 15 weeks till 300 tickets
Triangle ABC and Triangle CDE are similar right triangles. Which proportion can be used to show that the slope of AC is equal to the slope of CE?
The proportion that can be used to show that AC and CE has equal slope is: 2 - 0/3 - 0 = 4 - 2/6 - 3.
How to Determine the Slope of a Line?Using any two points on a given line, the formula to find the slope of the line is given as:
Slope (m) = change in y / change in x = rise/run or the line.
Given that triangles ABC and CDE are two similar right triangles, find the slope of AC and CE as explained below:
Point A is at (0, 0)
Point C is at (3, 2)
Point E is at (6, 4)
Slope of AC = change in y / change in x = 2 - 0/3 - 0 = 2/3
Slope of CE = 4 - 2/6 - 3 = 2/3
Thus, the proportion showing that the slope of AC and the slope of CE are the same would be expressed as:
2 - 0/3 - 0 = 4 - 2/6 - 3.
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PLS HELP 3x = 10 = 13x?
Answer:
If this is the equation you meant to type (3x + 10 = 13x) then the answer is x = 1.
If this is the equation you meant to type (3x - 10 = 13x) then the answer is x = -1.
Which of the following symbols is used for a column alias containing spaces?
A. ''
B. ||
C. " "
D. //
The correct symbol used for a column alias containing spaces is C. " " (quotation marks).
In SQL, when we want to assign a column alias containing spaces, we enclose the alias within double quotation marks. This is done to differentiate the alias from other SQL keywords or to handle cases where the alias includes special characters, spaces, or is case-sensitive.
For example, consider the following SQL query:
SELECT column_name AS "Column Alias"
FROM table_name;
In this query, we are selecting a column named "column_name" from the table "table_name" and assigning it the alias "Column Alias" containing spaces. By enclosing the alias within double quotation marks, we indicate to the database that it should treat the entire string as a single identifier or alias.
Using other symbols such as '', ||, or // will not achieve the desired result of creating an alias with spaces. These symbols have different meanings in SQL.
'' (two single quotation marks) typically represents an empty string or a string literal in SQL.
|| (double vertical bars) is the concatenation operator in some SQL dialects, used to combine strings or values.
// (double forward slashes) is commonly used for comments in various programming languages and does not have any special meaning for column aliases in SQL.
Therefore, the correct symbol to use for a column alias containing spaces is C. " " (quotation marks).
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suppose the lifetime of a particular brand of tire for cars is approximately normally distributed with a mean of 48,000 miles and standard deviation of 3,000 miles. step 1 of 2: what is the probability that a single tire randomly selected from the population will have a lifetime between 46,800 and 49,200 miles? round your answer to 4 decimal places if necessary.
0.3108 is the probability that a single tire randomly selected from the population will have a lifetime between 46,800 and 49,200 miles
What is probability?Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
X ~ N ( µ = 48000 , σ = 3000 )
As we know, P ( 46800 < X < 49200 )
Standardizing the value, we get -
Z = ( X - µ ) / σ
Z = ( 46800 - 48000 ) / 3000
Z = -0.4
Z = ( 49200 - 48000 ) / 3000
Z = 0.4
Also,
P ( -0.4 < Z < 0.4 )
P ( 46800 < X < 49200 ) = P ( Z < 0.4 ) - P ( Z < -0.4 )
P ( 46800 < X < 49200 ) = 0.6554 - 0.3446 (Probability calculated from Z table)
P ( 46800 < X < 49200 ) = 0.3108
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verify the identity. (simplify at each step.) sin 6 x = 1 2 (cos(x) 3 sin(x)) cchegg
The identity can be verified as follows: \(sin(6x) = \frac{1}{2}(cos(x)^3sin(x))\)
How can we simplify sin(6x) = \(\frac{1}{2}(cos(x)^3sin(x))\)?To simplify the given identity sin(6x) = \(\frac{1}{2}(cos(x)^3sin(x))\), we can apply trigonometric identities and algebraic manipulations. Let's break it down step by step:
We'll start by using the triple-angle formula for sine, which states that sin(3θ) = 3sin(θ) - 4sin³(θ). We can rewrite the given identity as sin(6x) = \(\frac{1}{2}\)(cos(x)³sin(x)).
Next, we'll apply the triple-angle formula to sin(6x), substituting 3θ with 2θ. Using sin(2θ) = 2sin(θ)cos(θ), we get sin(6x) = 3sin(2x) - 4sin³(2x).
Now, we can simplify further by using the double-angle formula for sine. The formula states that sin(2θ) = 2sin(θ)cos(θ).
Applying this to sin(6x), we have sin(6x) = 3(2sin(x)cos(x)) - 4(2sin(x)cos(x))³.
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A football field is a 64-meter-wide, 100-meter-long rectangle. What is the length of a diagonal ofa football field to the nearest meter?
Answer:
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the firmed in a diagonal line to the opposite corner. ... How much shorter is it to run across the field than around it ( nearest tenth)? ... Substitute the length of the sides (7 in, 25in n) into the Pythagorean theorem.
Step-by-step explanation:
im srry if it is wrong but i tried
What value of x makes the equation `33x=11`true?
Answer:
3
Explanation: 3 times 11 is 33
The value of x that makes the equation true is 3.
What is an equation?An equation is a statement that equates to two expressions.
The given equation is:
\(33=11x\)
\(11x=33\)
Divide both sides by 11
\(\frac{11x}{11} =\frac{33}{11}\)
\(x=3\)
So, the required value of x=3.
Hence, The value of x that makes the equation true is 3.
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Let f be a continuous function such that f changes from increasing to decreasing, and the graph of f changes fro concave up to concave down. Which of the following is true about the midpoint Riemann sum approximation for definite integral from 1 to 3 of f(x^2 + x) using 4 subintervals?a. The midpoint Riemann sum approximation underestimates the definite integral.b. The midpoint Riemann sum approximation overestimates the definite integral.c. The midpoint Riemann sum approximation cannot be determined to be an underestimate or an overestimate.
The true statement is Option B, The midpoint Riemann sum approximation overestimates the definite integral.
Given data,
In this case, since the function f changes from increasing to decreasing and the graph of f changes from concave up to concave down, we can infer that the function has a local maximum point within the interval [1, 3].
The midpoint Riemann sum approximation for the definite integral breaks the interval [1, 3] into four subintervals of equal width, and it uses the midpoint of each subinterval to approximate the value of the function within that subinterval.
Now, when the function is increasing, the midpoint Riemann sum approximation will tend to underestimate the value of the definite integral since it approximates the function using values that are smaller than the actual function values.
However, when the function changes from increasing to decreasing, the midpoint Riemann sum approximation will tend to overestimate the value of the definite integral since it approximates the function using values that are larger than the actual function values.
Hence , the midpoint Riemann sum approximation overestimates the definite integral.
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(URGENT, WILL MARK BRAINLIEST) The two figures are similar. Identity the similar sides, then write a similarity statement. (Picture below, please answer the questions)
Answer:
they are similar because the sides are always multiplied by 1.3 repeating to get the bigger triangle's sides.
Step-by-step explanation:
how should I answer the step one problems tell me and I will answer them
(I promise I won't just steal the points)
Which could be the scale factor of the following similar figures? (1 point)
The first triangle's sides are 9,9,12
The second triangles sides are 6,6,8
A.) 2/3
B.) 3/4
C.) 1
D.) 3/2
E.) 4/3
Answer:3/2
Step-by-step explanation: just did the test
As all sides have grown by 2/3 times, The scale factor is 2/3. Thus, option A is correct.
What is scale factor?In its simplest form, a scale factor is the proportion between the model measurement and the actual measurement. The scale factor, as opposed to a scale ratio, does not contrast various measurement units. A model car that is scaled at one-twentieth of its real-world counterpart is said to be that size. The car is also 20 times bigger than the model, according to this statement.
16 feet is the length of a fence. The fence is depicted as being 4 inches tall on a map. Write a ratio comparing the two quantities before attempting to calculate the scale factor of the drawing to the actual fence.
Given triangle side are 6, 6, 8 and scaled triangle is 9,9,12
The corresponding sides are
6/9, 6/9, 8/12
When you simply, we get
2/3, 2/3, 2/3
As all sides have grown by 2/3 times, The scale factor is 2/3. Thus, option A is correct.
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Isolate the x
x + y/3 = 5
Answer:
x = 5 - y/3
Step-by-step explanation: