T V is tangent to the circle, and R and S are points on the circle. What is the value of x to the nearest tenth?
A 7.6
B 6.4
C 5.7
D 4.8
Answers
By applying the Tangent Secant Theorem to this circle, the value of x to the nearest tenth is equal to: A. 5.7.
What is the Tangent Secant Theorem?The Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.
By applying the Tangent Secant Theorem to this circle, we have:
(x + x + 3) × x = 9²
(x + 3)x = 81
2x² + 3x = 81
2x² + 3x - 81 = 0
Next, we would solve the quadratic equation by using the quadratic formula:
\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-3\; \pm \;\sqrt{3^2 - 4(2)(-81)}}{2 \times 2}\\\\x = \frac{-3\; \pm \;\sqrt{9 + 648}}{4}\\\\x = \frac{-3\; \pm \;\sqrt{657}}{4}\)
x = 5.7 or -7.2
Since the line segment cannot be negative, the value of x to the nearest tenth is equal to 5.7.
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Related Questions
a grain silo consists of a cylindrical main section and a hemispherical roof of the total volume of the silo (including the part inside the roof section) is 10,000 find.the.cylindrical part is 30 ft tall, what is the radius of the silo, correct to the nearest tenth of a foot?
Answers
The radius of the silo which is in the shape of cylinders and spheres , correct to the nearest tenth of a foot, is approximately 10.3 feet.
To find the radius of the silo, we need to determine the radius of the cylindrical section.
The volume of the cylindrical section can be calculated using the formula:
\(V_{cylinder} = \pi * r^2 * h\)
where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.
Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:
\(V_{cylinder} = \pi * r^2 * 30\)
To find the radius, we can rearrange the formula:
\(r^2 = V_{cylinder} / (\pi * 30)\)
Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:
\(r^2 = 10,000 / (\pi * 30)\)
Simplifying further:
\(r^2 = 106.103\)
Taking the square root of both sides, we find:
\(r = \sqrt{106.103} = 10.3\)
Therefore, the radius of the silo which is in the shape of cylinders and spheres , correct to the nearest tenth of a foot, is approximately 10.3 feet.
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What happens to the control limits as the sample size is increased? The sample size does not affect the control limits. The UCL comes closer to the process mean and the LCL moves farther from the process mean as the sample size is increased. The LCL comes closer to the process mean and the UCL moves farther from the process mean as the sample size is increased. Both control limits move farther from the process mean as the sample size is increased. Both control limits come closer to the process mean as the sample size is increased. (c) What happens when a Type I error is made? The process will be declared in control and allowed to continue when the process is actually out of control. The process will be declared out of control and adjusted when the process is actually in control. (d) What happens when a Type II error is made? The process will be declared in control and allowed to continue when the process is actually out of control. The process will be declared out of control and adjusted when the process is actually in control. (e) What is the probability of a Type I error for a sample of size 10 ? (Round your answer to four decimal places.) What is the probability of a Type I error for a sample of size 20 ? (Round your answer to four decimal places.) What is the probability of a Type I error for a sample of size 30 ? (Round your answer to four decimal places.) (f) What is the advantage of increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased? Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type II error: Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type I error. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type II error. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.
Answers
When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.Hence, (c) When a Type I error is made, the process will be declared out of control and adjusted when the process is actually in control.
(d) When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control. The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.
The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the
When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.The process will be declared out of control and adjusted when the process is actually in control.When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control.
The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010.The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the sample size is increased.
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A kite is flying 12 ft off the ground. Its line is pulled taut and casts a 5-ft shadow. Find the length of the line. If necessary, round your answer to the nearest tenth.
Answers
The length of the line is 5 feets
solving using similar TrianglesTaking the length of the line as L
According to the given information;
Height of kite = 12 ft
shadow of kite = 5 ft
We can set up a proportion between the lengths of the sides of the two similar triangles formed by the kite and its shadow:
Length of the kite / Length of the shadow = Height of the kite / Length of the line
Applying the given values:
12 ft / 5 ft = 12 ft / L
cross-multiply and then divide:
12L = 5 × 12
L = 60 / 12
L = 5
Therefore, the length of the line is 5 feets
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By rewriting the formula for the multipication rule, you can write a formula for finding conditional probablities. The conditional probability of event B occurring. given that event A has occurred, is P(B∣A)=
P(A)
P(A and B)
, Use the information below to find the probabaify etat a fight departed on fime given that it arrives on time. The probability that an airplane fight departs on time is 0.91. The probability that a fight artives on time is 0.87. The probability that a flight departs and arrives on time is 0.33. The probability that a fight departed on time given that it artives on time is (Round to the nearest thousandth as needed.)
Answers
The probability that a flight departed on time given that it arrives on time is 0.379.
Conditional Probability is defined as the likelihood of an event occurring given that another event has already occurred.
The conditional probability of event B occurring, given that event A has occurred is given by:
P(B | A) = P(A and B) / P(A)By rewriting the formula for the multiplication rule, we can write a formula for finding conditional probabilities.
Using the information given in the question, the probability that a flight departs on time is 0.91, the probability that a flight arrives on time is 0.87, and the probability that a flight departs and arrives on time is 0.33.
To find the probability that a flight departed on time given that it arrives on time, we can use the formula for conditional probability:
P(D | A) = P(A and D) / P(A)
Here, D stands for Departure and A stands for Arrival.
Substituting the values given: P(D | A) = P(A and D) / P(A) = 0.33 / 0.87 = 0.3793 (rounded to the nearest thousandth)
Therefore, the probability that a flight departed on time given that it arrives on time is 0.379.
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gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. it forms a pile in the shape of a right circular cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 25 feet high?
Answers
Below is the answer
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Does the following set of ordered pairs represent a function?
{(7,4),(5, -1),(3,-8),(1,-5),(3,6)}
Answers
Answer:
not a function
Step-by-step explanation:
{(7,4),(5, -1),(3,-8),(1,-5),(3,6)}
This is not a function
The input of x=3 goes to two different outputs y=-8 and y=6
Given m || n, find the value of x and y.
(9x-14)⁰
(6x+4)⁰
Answers
Answer:
x = 6 , y = 140
Step-by-step explanation:
(9x - 14) and (6x + 4) are corresponding angles and are congruent , then
9x - 14 = 6x + 4 ( subtract 6x from both sides )
3x - 14 = 4 ( add 14 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
then
6x + 4 = 6(6) + 4 = 36 + 4 = 40
(6x + 4) and y are same- side interior angles and sum to 180° , so
40 + y = 180 ( subtract 40 from both sides )
y = 140
Pls help me solve this
Answers
You need to add together the 4 numbers in the chart 10+15+17+13=55 then you do 10/55=0.1818... then times by 165 and do this for the other numbers as well.
What is the answer for x?
Answers
Answer:
x = -5/7
Step-by-step explanation:
Free brainliest!!! I'll give it to anyone who answer's! (just put something random!)
Answers
find the value of x
show your work
Answers
Answer:
x = 8√3
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
x² + 8² = 16²
x² + 64 = 256
x² = 192
√x² = √192
x = √64 √3
x = 8√3
riangle ABC is transformed using the rule (x, y) - (-x-3, y + 2). Which set of points describe triangle A'B'C'?
O A (1, 4), B'(-3,-1), C'(-1, -3)
O A (-7, 4), B' (-3,-1), C'(-5,3)
O A(-5, -2), B' (0, 2), C' (2,0)
O A' (4,4), B' (0-1), C' (2, -3)
Answers
Answer:
b
Step-by-step explanation:
Help!!!!!! Math problems
Answers
Answer:
(-3,-1)
Step-by-step explanation:
pls giv brainliest
Answer:
(-3, -1)
Step-by-step explanation:
Vertex
__________
The vertex is the highest or lowest point within a parabola. When you look at the point, you can see where it is exactly at.
Let U= {z EZ: r ?20 and r is a multiple 3) be the universal set. Consider the subsets A = {0,3,-6), B = {-9, -12, 3, 6), C= {-6,-3,3,6, 15) of the universal set U. Solve the following problems. (3) Express the sets Ax A and (A x A) - B using roster notation.
Answers
(A × A) - B in roster notation is {(0, 0), (0, 3), (0, -6), (3, 0), (3, -6), (-6, 0), (-6, 3), (-6, -6)}.
To express the sets A × A and (A × A) - B using roster notation, let's first find the Cartesian product A × A.
The set A × A represents all possible ordered pairs where the first element comes from set A and the second element also comes from set A.
A = {0, 3, -6}
A × A = {(0, 0), (0, 3), (0, -6), (3, 0), (3, 3), (3, -6), (-6, 0), (-6, 3), (-6, -6)}
Therefore, A × A in roster notation is {(0, 0), (0, 3), (0, -6), (3, 0), (3, 3), (3, -6), (-6, 0), (-6, 3), (-6, -6)}.
Now, let's find (A × A) - B. This represents the elements in the set A × A that are not present in set B.
B = {-9, -12, 3, 6}
(A × A) - B = {(0, 0), (0, 3), (0, -6), (3, 0), (3, 3), (3, -6), (-6, 0), (-6, 3), (-6, -6)} - {-9, -12, 3, 6}
Removing the common elements, we get:
(A × A) - B = {(0, 0), (0, 3), (0, -6), (3, 0), (3, -6), (-6, 0), (-6, 3), (-6, -6)}
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DUE IN 25 MINUTES OMG- PLS HELP IF YOU CAN
Convert factored form to standard form then identify y-intercept
(2x + 1) (x - 3)
Answers
Answer:
2 x ^2 − 5 x − 3
Step-by-step explanation:
Answer is the problem in standard form then the y-intercept would be -3
2x^2 - 6x + x - 3
2x^2 - 5x - 3
2x^2 - 5x = 3 —> standard form
y-intercept = - 3
please answer
12a=6a+24
Answers
Answer:
a=4
Step-by-step explanation:
Hope this helps! Plz give brainliest!
Answer:
Subtract 6a6a from both sides.
12a-6a=24
12a−6a=24
2 Simplify 12a-6a12a−6a to 6a6a.
6a=24
6a=24
3 Divide both sides by 66.
a=\frac{24}{6}
a=
6
24
4 Simplify \frac{24}{6}
6
24
to 44.
a=4
a=4
Step-by-step explanation:
If 20% of all manually filed returns contain errors, and 0. 05% of all electronically filed returns contain errors, how much more likely is a manual filer to make an error than an electronic filer? a. 40,000 times more likely b. 4,000 times more likely c. 400 times more likely d. 40 times more likely Please select the best answer from the choices provided A B C D
Answers
A manual filer is 400 times more likely to make an error than an electronic filer. c. 400 times more likely.
To determine more likely a manual filer is to make an error compared to an electronic filer, compare the error rates for each method.
Given:
Error rate for manual filers = 20% = 0.20
Error rate for electronic filers = 0.05% = 0.0005
To find the relative likelihood, the error rate of manual filers by the error rate of electronic filers:
Relative likelihood = (Error rate for manual filers) / (Error rate for electronic filers)
Relative likelihood = 0.20 / 0.0005
Relative likelihood = 400
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Which of the shapes below are quadrilaterals? Select all that apply.
A) rectangle
B) parallelogram
C) square
D) rhombus
Answers
Answer:
A, B, C, D
Step-by-step explanation:
Quadrilaterals are shapes that have a total of four sides. Rectangles, parallelograms, squares, and rhombuses all have a total of four sides. Therefore, they are quadrilaterals.
Rectangle, Parallelogram, Square and Rhombus are Quadrilaterals.
We know,
A quadrilateral is a polygon with four sides. It is a geometric shape that is characterized by having four straight sides and four vertices. The interior angles of a quadrilateral add up to 360 degrees.
As, Rectangle have four sides then it is a quadrilateral.
As, Parallelogram have four sides then it is a quadrilateral.
As, Square have four sides then it is a quadrilateral.
As, Rhombus have four sides then it is a quadrilateral.
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PLEASE what is 2 + 2?!?!?
Answers
Answer:
4
Step-by-step explanation:
2 + 2 = 4
you have two and you add 2
you get 4
Hope this helps!
Add: 17 + 314 + 12 Write your answer in simplest terms.
Answers
Step one: Read the problem and un line the question it is asking you.
Step two: circle the numbers in the problem.
Step three:What are you using to solve the number or Materials.
Step four the most important of all:17+314=331+12=334!
Step five:Therefore now I know.
What is the area of a triangle with a height of 9 and a base of 24
Answers
Answer:
Area = 108
Step-by-step explanation:
Formula we use,
→ (1/2) × b × h
Then the area of triangle will be,
→ (1/2) × b × h
→ (1/2) × 24 × 9
→ 12 × 9 = 108
Hence, the area of triangle is 108.
The mean age of 5 people in a room is 25 years.
A person enters the room.
The mean age is now 27.
What is the age of the person who entered the room?
Answers
Answer:
37 years
Step-by-step explanation:
If the mean age of 5 people in that room was 25 years,
∴ Sum₍₅₎= (25×5)years
= 125 years
When a person enters that room, the mean age was now 27.
∴ Sum₍₆₎=(27×6) years
= 162 years
∴ The age of the person who entered the room = Sum₍₆₎ - Sum₍₅₎
= (162-125) years
= 37 years
∴ The age of the person who entered the room is 37 years.
Hope this helps!!!
Please mark as brainliest!!!
Answer:
im just answering so you can give the other person brainilest. you can report if ya want.
Step-by-step explanation:
:)
what information is provided by the magnitude (numerical value) of the z-score?
Answers
The magnitude (numerical value) of the z-score provides information about how many standard deviations a data point is from the mean.
z score or standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is observed or measured.
It tells us how many standard deviations a data point from the mean.
A z-score of 0 means that the data point is exactly at the mean, while a z-score of 1 means that the data point is one standard deviation above the mean.
A negative z-score indicates that the data point is below the mean.
The larger the magnitude of the z-score, the further away the data point is from the mean.
This information can be used to determine how unusual or typical a data point is in relation to the rest of the data set.
For example, a z-score of 2.5 would indicate that the data point is 2.5 standard deviations above the mean, and is therefore relatively unusual compared to the rest of the data.
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(45x) = (25x) (57+x)
Answers
Answer:
x = 0; x = \(\frac{-276}{5}\)
Step-by-step explanation:
45x = 25x(57 + x)
45x = 1425x + 25x²
25x² + 1425x - 45x = 0
25x² + 1380x = 0
5x(5x + 276) = 0
\(\left \{ {{5x=0} \atop {5x + 276=0}} \right.\)
\(\left \{ {{x=0} \atop {x=\frac{-276}{5} }} \right.\)
6 = 2(y + 2)
Solve for Y.
Answers
Answer:
6=2(y+2)
distributive property
6=2(y)+2(2)
6=2y+4
-4 -4
2=2y
-- --
2 2
divide two in both sides to get y by itself
y=1
Answer:
y = 1
Step-by-step explanation:
6 = 2 (y + 2)
Distribuite:
2 * y = 2y
2 * 2 = 4
2y + 4 = 6
Use additive inverses. The additive inverse of addition is subtraction.
Subtract 4 from both sides:
2y + 4 - 4 = 6 - 4
6 - 4 = 2
2y ÷ 2 = 2 ÷ 2
2y ÷ 2 = y
2 ÷ 2 = 1
To check our answer we multiply how much y is (which is 1) by 2.
2(1) + 4 = 6
2 * 1 = 2
2 + 4 = 6.
Naomi reads 9 pages in 27 minutes, 12 pages in 36 minutes, 15 pages in 45 minutes, and 50 pages in 150 minutes
Answers
Answer:
It is proportional. They are all multiplied by three. (9*3=27)
Step-by-step explanation:
Your friend writes an equation of the line shown. Is your friend correct?
Student work is shown. A line is graphed on a coordinate plane. The line passes through the points at ordered pair (0,-2) and ordered pair (4,0). Your friend writes an equation of the line shown. Is your friend correct? Their equation was y = 1/2x + 4.
Answers
Answer:
No. The correct equation is
y= 1/2 x - 2
Step-by-step explanation:
See picture
Phil has a 2.4 meter long piece of wood. If he cuts it in 4 equal parts, what is the length of each piece of wood in millimeters
Answers
Answer:
Each length of the wood is 9.6
Answer:
600 mm
Step-by-step explanation:
2.4 m to cut into 4 equal parts
= 2400 / 4
= 600 mm
Complete the ratio 4:? = 1:15
Answers
Answer:
The answer is 60
Step-by-step explanation:
Solution:
Complete the ratio
\( \frac{4}{?} = \frac{1}{15} \\ \)
?= 15×4?=60Hope you understand
Use substitution to write an equivalent quadratic equation. (3x 2)2 7(3x 2) â€"" 8 = 0
Answers
Answer: We on da same question i do not know
Step-by-step explanation: