Answers
Answer:
5.6
Step-by-step explanation:
We assume that 7 is the measure of the portion of the secant that is inside the circle between the circle and the intersection with the other chord.
The product of segment lengths on the same chord is a constant for chords that intersect at the same point. That is, ...
10x = 8·7
x = 56/10
x = 5.6
_____
Comment on the geometry
If you draw the figure to scale, you find the geometry shown is impossible. The arc measures and chord lengths are incompatible.
Related Questions
a display at an aquarium has sea stars to wolf eels in a ratio 4 : 5. It also has 5/8 as many rockfish as sea stars. there are 40 more wolf eels than rock fish. How many sea stars are there?
Answers
The number of sea stars is 64.
What is a ratio?
Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.
In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."
This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.
According to the question,
Ratio of sea stars to wolf eels = 4:5
Number of rock fish= 5/8 (Number of sea stars)
Number of wolf eels - Number of rock fish = 40
Using the given information, we get,
Number of sea stars = 8/5 (Number of rock fish)
On simplification,
Number of wolf eels = 80
So, number of sea stars = (4/5)*80
= 64
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Find the volume of the parallelepiped with the given vertices:(1,2,1), (2,3,4), (3,4,5), (2,3,2), (3,3,3), (4,4,6), (4,4,4), (5,5,7)
Answers
Answer:
0
Step-by-step explanation:
three vectors are
\(u=(2,3,4)-(1,2,1)=(1,1,3)\)
\(v=(3,4,5)-(1,2,1)=(2,2,4)\)
\(w=(2,3,2)-(1,2,1)=(1,1,1)\)
volume is given by \(V=u \cdot(v \times w)\) \(v \times w=\left|\begin{array}{ccc}i & j & k \\ 2 & 2 & 4 \\ 1 & 1 & 1\end{array}\right|=(-2,2,0)\)
so volume is \(V=(1,1,3) \cdot(-2,2,0)=0\)
2
three vectors are \(u=(4,4,6)-(3,3,3)=(1,1,3)\)
\(v=(4,4,4)-(3,3,3)=(1,1,1)\)
\(w=(5,5,7)-(3,3,3)=(2,2,4)\)
volume is given by \(V=u \cdot(v \times w)\) \(v \times w=\left|\begin{array}{ccc}i & j & k \\ 1 & 1 & 1 \\ 2 & 2 & 4\end{array}\right|=(2,-2,0)\)
so volume is \(V=(1,1,3) \cdot(-2,2,0)=0\)
Let
f(x)={x2+2xx+1if x≤−1if x>−1.
Evaluate the following:
1. f(−7) =
2. f(−1) =
3. f(0) =
Answers
The required solutions of the functions are given as follows,
1. f(−7) = 35
2. f(−1) = -1
3. f(0) = 1
What is simplification?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,
1 .
for x = -7
f(x) = x² + 2x
f(-7) = (-7)² + 2(-7) = 35
2.
for x = -1
f(x) = x² + 2x
f(−1) = (-1)² + 2(-1) = -1
3.
For x = 0
f(x) = x + 1
f(0) = 0 + 1 = 1
Thus, the required solutions are given as follows,
1. f(−7) = 35
2. f(−1) = -1
3. f(0) = 1
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James is learning to type. At the end of the first month, James could type 9 words per minute. At the end of the second month of practice, James could type 18 words per minute. After another month of practice, James could type 27 words per minute. James continued to practice. At the end of five months, how many words could James type per minute?
Answers
Answer: The answer is 36. Hope you have a nice day.
There you go
A flagpole casts a shadow that is 14 feet long. At the same time, a person standing nearby who is 5 feet 6 inches tall casts a shadow
that is 42 inches long. How tall is the flagpole?
Flagpole:
feet
Answers
Answer:
22 feet
Step-by-step explanation:
As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:
14 ft = 14 × 12 = 168 inches5 ft 6 in = 5 × 12 + 6 = 66 inchesTherefore:
Flaghole height = h inFlagpole shadow = 168 inPerson height = 66 inPerson shadow = 42 inDraw a diagram using the given information (see attachment).
From the diagram, we can see that the flagpole and the person are parallel. Therefore, the two triangles are similar.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, set up a ratio of height to shadow length and solve for h:
\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)
\(\implies \sf h:168=66:42\)
\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)
\(\implies \sf h=\dfrac{66}{42} \cdot 168\)
\(\implies \sf h=\dfrac{11088}{42}\)
\(\implies \sf h=264\;inches\)
Convert the height into feet by dividing by 12:
\(\implies \sf h=\dfrac{264}{12}=22\;feet\)
Therefore, the height of the flagpole is 22 feet.
Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answers
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.
A butcher at a certain store has the scales calibrated for accuracy. The scales must measure a standardized 1-pound weight at exactly 1 pound with accuracy within 0.018 pound.
(a)
Write the possible measured scale weights (in lb) using plus/minus notation.
lb ±
lb
(b)
Write the possible measured scale weights (in lb) using interval notation. (Simplify your answer completely.)
lb
(c)
All of the measured scale weights must be between which two values (in lb)?
All of the measured scale weights must be between a lower value of
lb and an upper value of
lb.
Answers
Answer:1 just like my answer dawg
Step-by-step explanation:
View the table:2. What expression can we write to find the number of possible outcomes for 7 coins?
Answers
Given:
The table contains the total number of outcomes when flipping a certain number of coins.
The number of outcomes in the table follows the pattern,
\(\begin{gathered} 1\rightarrow2^1=2 \\ 2\rightarrow2^2=4 \\ 3\rightarrow2^3=8 \\ 4\rightarrow2^4=16 \\ 5\rightarrow2^5=32 \end{gathered}\)It gives,
\(f(n)=2^n\)For n=7
\(\begin{gathered} n=7 \\ 7\rightarrow2^7=128 \end{gathered}\)Answer: there are 128 outcomes when 7 coins are flipped.
the length of the house is 1,200 feet and 1,100 feet wide. what is the perimiter
Answers
Answer:
4,600
Step-by-step explanation:
1,200+1,200+1,100+1,100
Which of the following statements best summarizes the SSS Similarity Postulate?
Answers
HELP PLEASE IT EASY!
+ no files please!!
Answers
Answer:
GIVEN :-
Ordered pairs given are :-
(2 , -1)(-5 , 3)(4 , 3)(-2 , -3.5)(0.5 , 1.75)TO FIND :-
Correct quadrant for each ordered pair.FACTS TO KNOW BEFORE SOLVING :-
While writing the co-ordinates of a point , its ordered pair is always in the form of ( x , y ) where x = x-coordinate of the point & y = y-coordinate of the point.In Quadrant 1 , the coordinates of a point is always = ( +x , +y ) because Quadrant 1 lies between the positive side of x-axis & positive side of y-axis.In Quadrant 2 , the coordinates of a point is always = ( -x , +y ) because Quadrant 2 lies between the negative side of x-axis & positive side of y-axis.In Quadrant 3 , the coordinates of a point is always = ( -x , -y ) because Quadrant 3 lies between the negative side of x-axis & negative side of y-axis.In Quadrant 4 , the coordinates of a points is always = ( +x , -y ) because Quadrant 4 lies between the positive side of x-axis & negative side of y-axis.SOLUTION :-
(2 , -1) is in Quadrant 4 because it's x-coordinate is positive whereas its y-coordinate is negative.(-5 , 3) is in Quadrant 2 because its x-coordinate is negative but y-coordinate is positive.(4 , 3) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.(-2 , -3.5) is in Quadrant 3 because both its x-coordinates & y-coordinates are negative.(0.5 , 1.75) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.simplify the ratio 1/2 to 3/4
Answers
1/2 : 3/4 = 2 : 3 is the answer
What is the sales price of a skateboard if the original price was $44.99 andthere is a 30% off discount? *
Answers
ANSWER
$31.49
EXPLANATION
The original price of the skateboard was $44.99
There is a 30% discount on the skateboard.
What we need to do is find 30% of the price of the skateboard and subtract that from the original price.
That is:
\(\frac{30}{100}\cdot\text{ 44.99 = \$13.50}\)Now subtract from the original price:
Sales Price = $44.99 - $13.50
Sales Price = $31.49
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answers
Answer:
43.6 has 3 significant figures.
) GRAPHS AND FUNCTIONSFinding local maxima and minima of a function given the grap
Answers
We can see letters "a" and "b" looks similar but they are different in one thing:
All values at which g has a local maximum means they want to know the x-coordinates where there is a local maximum of the graph. In other hands, when they ask for all local maximum values of g they want to know the y-coordinates where there is a local maximum of the graph.
Once we know that, let's take a look over our problem and identify answer for "a" and "b":
As we can see above we have two local maximum and our answers are:
Letter A: -4,4
Letter B: 1
PLEASE HELP 15 POINTS,
It is now time to complete the Utilities Discussion. Research the cost of some sort of household bill. Examples are natural gas, electricity, water, etc. Find one that models a linear function and write a function to represent the cost of this utility.
Explain how you found your information and wrote your function. Be sure to define your variables, use function notation.
Answers
Step-by-step explanation:
I take gas consumption as example.
Consider the followings,
Let M be the gas meter reading per month
A be the fuel adjustment fee
B be monthly maintenance fee
Y be unit cost per Joule
Let X be monthly bill
( 1 meter reading unit = 48 unit of Joule )
Monthly bill payment :
X = Mx48xY + A + B
in function notation, the monthly bill is f(M, Y, A, C)
Find the slope of the line passing through the points (5, -6) and (1, -1).
Answers
Answer: -5/4
Step-by-step explanation:
The equation for solving for slope is y2-y1/x2-x1
substitute
-1-(-6) / 1-5
5/-4
slope= -5/4
Find the volume of this please
Answers
Answer: 436.8
Step-by-step explanation:
Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level. The null and alternative hypothesis would be:
Answers
Answer:
the null hypothesis would be: p = 70%/0.7
The alternative hypothesis would be: p < 0.7
Step-by-step explanation:
The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.
In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7
The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7
which statement is true about the diagram shown?
Answers
Answer:
I believe A is the correct answer.
Step-by-step explanation:
Your friend was bored one day and started making patterns using Cheerios from a new box he had opened. He laid the Cheerios on the table as such:
Based on the two images above and the information about the box, answer the following questions.
A) Identify and label the variable
B) Make a table for up to 8-figure patterns
C) Write an equation to represent the nth term of the sequence.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
E) Is it reasonable to think this pattern would continue forever? If not, explain.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?
PLS ANSWER ALL OF THE QUESTIONSSS I REALLY NEED THE ANSWERS ASAPPPPPPP PLEASE AND THANK YOU
Answers
A) The variable is n, which represents the number of the figure in the pattern.
B) Here is a table for up to 8-figure patterns:
Figure Number of Cheerios
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
C) The equation to represent the nth term of the sequence is n(n+1)/2.
D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.
E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.
F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.
Here is a more detailed explanation of how to answer each question:
A) Identify and label the variable
The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.
B) Make a table for up to 8-figure patterns
Here is a table for up to 8-figure patterns:
Figure Number of Cheerios
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
C) Write an equation to represent the nth term of the sequence
The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.
E) Is it reasonable to think this pattern would continue forever? If not, explain.
It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?
Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.
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Given the following quadratic function: f(x) = 2x²-3x + 4The ordered pair for the y-axis intercept is:O a. (4,0)O b. (0,-3)OC. (0,4)O d. (-3,0)e. No y-axis intercept
Answers
Given the equation: f(x) = 2x²-3x + 4
We know that:
f(x) = y
The y-intercept is when the graph crosses the y-axis, this is when x = 0. Therefore substitute x = 0 in the equation:
\(f(0)=2(0)^2-3(0)+4=0-0+4=4\)So, the intercept is in the ordered pair (0,4).
Answer: C.
In ΔDEF, e = 1.4 cm, f = 9.1 cm and ∠D=109°. Find the area of ΔDEF, to the nearest 10th of a square centimeter.
Answers
Answer:
6.0 cm²
Step-by-step explanation:
You want the area of ∆DEF with sides e=1.4 cm, f=9.1 cm, and angle D=109°.
AreaThe area of the triangle is given by the formula ...
A = 1/2ef·sin(D)
A = 1/2(1.4 cm)(9.1 cm)sin(109°) ≈ 6.37·0.94552 cm² ≈ 6.023 cm²
The area of triangle DEF is about 6.0 square centimeters.
2x + 7= -11 please help
Answers
Answer:
x = -9
Step-by-step explanation:
You are solving for x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 7 from both sides:
2x + 7 (-7) = -11 (-7)
2x = -11 - 7
2x = -18
Next, divide 2 from both sides:
(2x)/2 = (-18)/2
x = -18/2
x = -9
x = -9 is your answer.
~
Answer:
x = -9
Step-by-step explanation:
2x + 7 = -11
(2x + 7) - 7 = -11 - 7
2x = -18
(2x)/2 = -18/2
x = -9
p(x)=5x^4+7x^3-2x^2-3x+c divided by (x+1)
Answers
The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.
To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.
Let's set up the long division:
\(5x^3 + 2x^2 - 4x + 4\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:
\(5x^3(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- (\(5x^3 + 5x^2)\)
This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
-\((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
We continue this process until we reach the constant term, resulting in the remainder of the division.
At this point, we have:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- \((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
-\((2x^2 + 2x)\)
_______________________
- 5x + c
- (-5x - 5)
_______________________
5 + c
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Answer this and your a legend
Answers
Answer:
1 = 1 liter
2 = 1 kiloleter
3 = 1 quart
4 = 1 pint
5 = 1 cup
6 = 1 gallon
Step-by-step explanation:
what is the unit price for 4 greeting cards for $10
Answers
Answer:
$2.5/card
Explanation:
Unit price is the price for buying one item.
Here given:
total greeting cards: 4total cost: $10Unit price :-
total cost ÷ total units10 ÷ 4$2.5 per carda) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing matrix
and vector notation and in accordance with ()
= () form.
b) (10 pts) Is the system obtained in (a) stable, neutrally stable of unstable? Determine this using matrix.
c) (10 pts) Compute the eigenvalues and eigenvectors of matrix.
d) (10 pts) Using the results computed in (c) find and matrices and show that =
−
relationship
(i.e., the diagonalization relationship) is a valid relationship.
Answers
a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:
\(x' = Ax\)
where x is a vector and A is a square matrix.
b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.
If all eigenvalues have negative real parts, the system is stable.
If at least one eigenvalue has a zero real part, the system is neutrally stable.
If at least one eigenvalue has a positive real part, the system is unstable.
c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation
\(det(A - \lambda I) = 0\),
where λ is the eigenvalue and I is the identity matrix.
By solving this equation, we obtain the eigenvalues.
Substituting each eigenvalue into the equation
\((A - \lambda I)v = 0\),
where v is the eigenvector, we can solve for the eigenvectors.
d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:
\(A = PDP^{(-1)}\)
where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.
To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.
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The company also has plans to open a third obstacle course, The Gridiron, where the first three checkpoints will have coordinates A′′(0,−5), B′′(9,−5), and C′′(4,−5). What relationship could this location have to the previous locations? Select all answers that apply.
Answers
Answer: It is a reflection of Reflections of You (second location) in the x-axis.
Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.
The correct answer is:
It is a reflection of Reflections of You (second location) in the x-axis.
The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.
a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Answers
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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