Answers
Based on the tangent theorem, and also applying the Pythagorean theorem, the length of WX is calculated as: 42.1 units.
What is the Tangent Theorem?The tangent theorem states that a right angle is formed at the point of tangency between the tangent and the radius of the circle.
Thus, WXY is a right triangle. Use Pythagorean theorem to find WX.
WX = √(XY² - WY²)
XY = 25 + 23 = 48
WY = 23
Substitute
WX = √(48² - 23²)
WX = 42.1 units.
Learn more about tangent theorem on:
https://brainly.com/question/9892082
Related Questions
Can you please answer this ASAP!! (20 points!!)
Answers
Answer the question 1st:
1-corresponding angles=180
then,90+90=180
2-not parallel
3-not parallel
4-corresponding angles=180
x+x=180
2x=180
x=180/2
x=90degree
5-suppose x for two angles
then, same as 4 no. x + x=180
6= alternate angles are always equal.
let f be the function given by and g be the function given by . find the first four nonzero terms and the general term for the power series expansion of f(t) about t
Answers
The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.
Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.
To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:
f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...
where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.
To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.
To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:
f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }
where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).
Learn more about Taylor series here
https://brainly.com/question/28168045
#SPJ11
Simplify the expression by combining like terms:
k3+ m + m - k3 +Ka+ K2
Answers
Explanation:
k3 + m + m - k3 + Ka + K2
= 2m + Ka + K2
Look at this graph:
10
9
8
7
6
5
4
3
3
N
1
х
0 1 2 3 4 5 6 7 8 9 10
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
slope= m = rise/run
6/3 therefore m =2
What is the diameter of a hemisphere with a volume of 4960\text{ m}^3,4960 m 3 , to the nearest tenth of a meter?
Answers
Answer:
26.6 m
Step-by-step explanation:
The formula for the volume of an hemisphere is given as:
The volume of a hemisphere = (2/3)πr³ cubic units.
Volume = 4960m³
Hence,
4960 = 2/3πr³
4960 = 2 × πr³/3
Cross Multiply
4960 × 3 = 2πr³
Divide both sides by 2π
4960 × 3/2π = 2 πr³/2π
r³ = 2368.2255532
We would cube root both sides.
cube root(r³) = cube root(2368.2255532)
r = 13.329310588 m
Approximately = 13.3m
The formula for diameter = 2 × r
Diameter of the hemisphere = 2 × 13.33m
= 26.6 m
Answer:
26.7 is the right answer.
Step-by-step explanation:
Part A: The table shows the number of new stores a smoothie chain opened over the past 10 years. The data models an exponential function.
1. Use technology or hand calculations to determine the equation for the exponential function modeled by the data in the table. Show an image of your final answer. (10 points)
2. Using the equation found in question 1, predict the approximate number of stores the retail chain will open in year 13. (8 points)
Answers
To determine the equation for the exponential function modeled by the data, you need to identify the pattern and use regression analysis or logarithms. Please provide the data in the table, and I will help you find the equation.
Once we have the equation, we can use it to predict the approximate number of stores the retail chain will open in year 13. This is done by substituting the value of 13 into the equation and solving for the unknown variable.
To determine the equation for the exponential function modeled by the data, find the common ratio and use it to write the equation. To predict the number of stores in year 13, substitute the value into the equation.
Explanation:To determine the equation for the exponential function modeled by the data in the table, we need to find the common ratio. The common ratio is the ratio of a term to its previous term. We can calculate the common ratio by dividing any term by the previous term. Once we find the common ratio, we can use it to write the equation of the exponential function. To predict the approximate number of stores the retail chain will open in year 13, we can substitute the value of 13 into the equation we found in question 1.
Learn more about Exponential functions here:https://brainly.com/question/37289664
#SPJ11Final answer:
To determine the equation for the exponential function modeled by the data, find the common ratio and use it to write the equation. To predict the number of stores in year 13, substitute the value into the equation.
Explanation:To determine the equation for the exponential function modeled by the data in the table, we need to find the common ratio. The common ratio is the ratio of a term to its previous term. We can calculate the common ratio by dividing any term by the previous term. Once we find the common ratio, we can use it to write the equation of the exponential function. To predict the approximate number of stores the retail chain will open in year 13, we can substitute the value of 13 into the equation we found in question 1.
Learn more about Exponential functions here:https://brainly.com/question/37289664
#SPJ11
Triangle similarity and congruence! * Pic included
Answers
Answer:
Yes, beacuse the ratios of the corresponding sides are equal.
Step-by-step explanation:
12/36 = 0.33
10/30 = 0.33
15/45 = 0.33
Consider a market served by a monopolist, Firm A. A new firm, Firm B, enters the market and, as a result, Firm A lowers its price to try to drive Firm B out of the market. This practice is known as
Answers
Predatory pricing. Predatory pricing occurs when a dominant firm intentionally sets its prices below the cost of production or below its competitors' prices in order to eliminate competition and deter new entrants into the market.
In this scenario, Firm A, the monopolist, engages in predatory pricing by reducing its prices in response to the entry of Firm B into the market. The aim is to make it financially difficult for Firm B to survive and eventually force it out of the market. By lowering its prices, Firm A hopes to attract customers away from Firm B and regain its monopoly power.
Predatory pricing is considered an anti-competitive practice and is often illegal in many jurisdictions. It can harm competition, limit consumer choice, and lead to higher prices in the long run. Regulatory bodies and competition authorities closely monitor such practices and may take legal action against firms found engaging in predatory pricing.
Overall, predatory pricing is a strategy employed by dominant firms to protect or strengthen their market position by driving out competitors. However, it is important for regulators to enforce antitrust laws to ensure fair competition and protect the interests of consumers and smaller market players.
Learn more about interests here: https://brainly.com/question/8100492
#SPJ11
What is the surface area of the cylinder with height 2 mi and radius 6 mi? Round your answer to the nearest thousandth.
Answers
Answer:
301.440 mi²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
Where,
Radius, r = 6 mi
Height, h = 2 mi
Surface area of a cylinder = 2πrh + 2πr²
= (2 * 3.14 * 6 * 2) + (2 * 3.14 * 6²)
= 75.36 + (6.28 * 36)
= 75.36 + 226.08
= 301.44 mi²
To the nearest thousandth
Surface area of a cylinder = 301.440 mi²
PLEASE HELP FIRST ONE TO GET IT RIGHT GETS brainiest :oooo
Answers
A. x and y are both within the same solar system.
7.2 light years= 455336 AU
PLEASE HELP ME AND BE QUICK
Chantal has an outstanding balance of $256.84 on a credit card. The minimum monthly payment is 13% or $20.00, whichever is more.What is the minimum monthly payment?
Answers
Answer:
minimum is $20
Step-by-step explanation:
.13 x 256.84 = 33.39
$33.39 is less than $20.00
Write 750% as a decimal and as a fraction in simplest form
Answers
Which graph represents a function?
Answers
Answer:
The one under the rest
Step-by-step explanation:
There are no double in it.What it means there no double y-value.
Which of the following is NOT an example of mixed fraction?
1. a
2. b
3. c
4. a,b,c
help i don't get it. i am VERY bad at math
Answers
Answer:
C
Step-by-step explanation:
a mixed fraction consists of a whole number and a proper fraction
a
\(\frac{29}{15}\) = 1 \(\frac{14}{15}\) ← a mixed number
b
\(\frac{35}{12}\) = 2 \(\frac{11}{12}\) ← a mixed number
c
\(\frac{12}{13}\) ← cannot be expressed as a mixed number
This is long division can you help me do it plz!
Answers
Answer:
175262
Step-by-step explanation:
What is the median of the data set?
3, 10, 1, 6, 10, 3, 11, 14
Enter your answer in the box.
Answers
Answer:
Hey sry he was botherin you
Step-by-step explanation:
The median is 141.5
Answer:
The Person above me is wrong. I used his answer and got it wrong. Correct answer is:
8
Step-by-step explanation:
The following dot plot Represents student scores on both the Unit 1 and Unit 2 math test. Scores are in whole number increments.
Part 1: Looking at the data plots, which test do you think the students scored better on? Do you think one of the tests
has more variation than the other or is the variation about the same for both tests? Use complete sentences in your
answer and explain your reasoning.
Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for the Unit 1 test.
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete sentences in your
answer and explain your reasoning.
Answers
I answered in a comment and had more as an answer but he deleted it I don't know what I put for the rest so sorry about that
someone help me asap
Answers
Answer:
19/20 cups
Step-by-step explanation:
Add the amounts together
1/4 + 7/10
Get a common denominator of 20
1/4 *5/5 + 7/10 *2/2
5/20 + 14/20
19/20
Answer:
19/20
Step-by-step explanation:
find a common denominator then do the same with the numerator then add.
Camila and Evelyn work at a dry cleaners ironing shirts.Camila can iron 40 shirts per hour, and Evelyn can iron 20 shirts per hour.How many total shirts would be ironed between the two workers
Answers
Answer: 60 shirts.
Step-by-step explanation: Camila: 40/hr Evelyn: 20/hr
20 + 40 = 60
Which of the following is true about a linear pair?
The two angles must be supplementary and adjacent to form a linear pair.
The two angles must be supplementary and adjacent to form a linear pair.
Any two adjacent angles form a linear pair.
Any two adjacent angles form a linear pair.
Any two supplementary angles are a linear pair.
Any two supplementary angles are a linear pair.
Vertical angles can form a linear pair.
Answers
Answer:
2
Step-by-step explanation:
;\
Answer: Choice A
The two angles must be supplementary and adjacent to form a linear pair.
Adjacent angles are angles that touch and share a common line segment, line, or ray. Think of two rooms that share the same wall and how they are considered adjacent rooms.
Supplementary angles form a straight angle. They add to 180 degrees.
Evaluate when a = 15:
2(a - 5) + 2
Answers
Answer:
22
Step-by-step explanation:
Just plug in
2(15 - 5) + 2 (Solve what's in the parenthesis)
2(10) + 2 (multiply 2*10)
20 + 2 (collect like terms)
22
The evaluation of the expression, 2(a - 5) + 2 when a = 15 is; 22
According to the question;
We are required to evaluate 2(a - 5) + 2. when a = 15.To evaluate 2(a - 5) + 2. when a = 15.
We have;
= 2(15 - 5) + 2= 2(10) + 2= 22.Read more;
https://brainly.in/question/19225277
B is the midpoint of AC. AB = 2x+12 and BC = 5x + 10. Find AC
Answers
Answer:
x=6
Step-by-step explanation:
/AB/=2x+12
/BC/=5x+10
3x+2=5x-10 subtract 2 from both sides
3x=5x-12 subtract 5x from both sides
-2x=-12 divide both sides by -2x
x =6
a company produces steel rods. the lengths of the steel rods are normally distributed with a mean of 205.8-cm and a standard deviation of 0.5-cm. for shipment, 22 steel rods are bundled together. find the probability that the average length of a randomly selected bundle of steel rods is greater than 206.1-cm. p(m > 206.1-cm)
Answers
The required probability of the randomly selected steel rod with the average length greater than 206.1cm whose mean is 205.8cm and standard deviation is 0.5cm is equal to 0.0024012.
As given in the question,
Mean of the normally distributed steel rod ' μ '= 205.8cm
Standard deviation of the normally distributed steed rod 'σ ' = 0.5cm
Number of steel rod bundled together 'n' = 22
Randomly selected steel rods bundle the average length is greater than
'\(\bar {X}\)' = 206.1cm
Required probability is given by :
P( \(\bar {X}\) > 206.1 )
= P [(\(\bar {X}\) - μ )/ (σ/√n) > ( 206.1 - 205.8)/ (0.5/√22) ]
= P ( Z > (0.3/ 0.1064))
= P ( Z > 2.8195)
= P ( Z > 2.820)
= 0.0024012
Therefore, the probability of the randomly selected steel rod with the average length greater than 206.1cm is equal to 0.0024012.
Learn more about probability here
brainly.com/question/30034780
#SPJ4
a square tile has width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
16 tiles
8 tiles
4 tiles
1 tile
Answers
Answer:
16 tiles
Because there are 4 parts in 4/4 and the if you have 4 of the four parts that is 16.
The graph of the function, f(x) = x2 - 5x - 7 opens
and has a
value.
Answers
The parabola has a positive leading coefficient, which means that it opens upwards.
The graph opens up or down?We want to find the leading coefficient and see how the parabola opens.
A general quadratic equation is written as:
y = A*X^2 +b*X+ c
Where a is the leading coefficient.
If a is positive, then the parabola opens upwards, and if a is negative, the parabola opens downwards.
In this case, the equation is:
y = x^2 - 5x - 7
The leading coefficient is a = 1, it is positive, so the parabola opens upwards.
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
Please help I need answers asap please show your work
Answers
Answer:
#1) \(\frac{1}{7}\)
#2) 4
Step-by-step explanation:
#1) 37x=9x+4
37x=9x+4
-9x
28x=4
28 28
answer: \(\frac{4}{28} = \frac{1}{7}\)
#2) 2x+3=11
2x+3=11
-3
2x= 8
2 2
answer: \(\frac{8}{2} =4\)
Solve please :D
Thank u
Answers
i used a calculator for this,
- 47
Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 25%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test.
Answers
The alternative hypothesis in this problem claims that the genuine population proportion of blue candies is less than 0.25, contrary to the null hypothesis, which states that the population proportion is 0.25.
At a significance level of 0.05, a proportions one-tailed z-test is employed to test this hypothesis. The test's critical value is -1.645, and the test statistic that was generated is -1.14. The estimated test statistic exceeds the crucial value, hence the null hypothesis is not rejected.
The candy company's assertion that the proportion of blue candies is 25% is therefore unsupported by sufficient proof. Hence, we cannot infer that the population's share of blue candies is different than 22%.
Learn more about Null Hypothesis:
https://brainly.com/question/16945299
#SPJ4
A jeweler had a fixed amount of gold to make bracelets and necklaces. The
amount of gold in each bracelet is 6 grams and the amount of gold in each
necklace is 16 grams. The jeweler used 178 grams of gold and made 7 more
necklaces than bracelets. Write a system of equations that could be used to
determine the number of bracelets made and the number of necklaces made.
Define the variables that you use to write the system.
Answers
6b + 16n = 178 Weight of gold
n = b + 7 More necklaces than bracelets
Answer:
6b+16n=178
n=b+7
Step-by-step explanation:
Let b=the number of bracelets made
Let n=the number of necklaces made
System of Equations:
6b+16n=178
n=b+7
find the wronskian of the functions f(t) = e^2t and g(t) = e^3t
Answers
The Wronskian of two functions f(t) and g(t) is defined as the determinant of the following matrix:
[f(t), g(t)]
[f'(t), g'(t)]
The Wronskian of the functions f(t) = e^2t and g(t) = e^3t is 6e^5t - 2e^4t, which indicates linear independence.
For the given functions f(t) = e^2t and g(t) = e^3t, the Wronskian is the determinant of the following matrix:
[e^2t, e^3t]
[2e^2t, 3e^3t]
The determinant is equal to 6e^5t - 2e^4t, which is the Wronskian of the given functions.
The Wronskian can be used to determine whether two functions are linearly independent. A Wronskian equal to 0 indicates linear dependence and a Wronskian unequal to 0 indicates linear independence. In the case of the given functions, the Wronskian is not equal to 0 and therefore the functions are linearly independent.
To know more about functions refer here:
https://brainly.com/question/28193995
#SPJ11