In the triangle XYZ, IF WZ=24, then WY is:
12.
24.
48.
None of the choices are correct.
Answers
Related Questions
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answers
Another way to state the transformation is D. R0, 360°
Calculations and Parameters
Given that the rotation is:
(x,y) --------> (x,y)
This shows that it goes back to its original position and there is a full rotation occurred.
Based on its full rotation to 360°, it can be noted that option D is another way to state the transformation as other given rotations would give different translations.
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Answer: I can confirm it’s D Ro, 360°
Step-by-step explanation:
Can someone please answer this?
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diag d = √(6²+6²) = 6√2 in
The diagonal is also the diameter of the circle! So the radius of the circle is half of that:
radius r = d/2 = 3√2 in
The area of the circle is πr² = π(3√2)² = 18π in²
how much will the toll be after the increase
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130% = 1.30
multiply 2.50 x 1.30
2.50 x 1.30 = 3.25
the new toll is 3.25
Traveling at 65 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 125 miles from San Diego to Malibu?
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We can establish a proportion:
Since an hour = 60 minutes
If it takes 60 minutes to travel 65 miles (speed)
X minutes it will take to travel 125 miles
X = 125miles*60 minutes/65 miles = 115 minutes approximately
Answer : 115 minutes approximately
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
Martina made 35 hats. Martina made 7 times as many hats as shen. Let h be the number of hats that shen made
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"Martina made 7 times as many hats as Shen" becomes 7h.
So 7h = 35.
h = 5
Shen made 5 hats.
if f(x)=3/x+2 -√x-3, complete the following statement (round your answer to the nearest hundredth) f(7)=
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= 1/3-6/3= -5/3= -1.67
The given function [tex]f(x) = \dfrac{ 3}{x + 2} -\sqrt{x-3}[/tex] The value of f(7) would be -1.67.
What is a function?The function is a type of relation, or rule, that maps one input to a specific single output.
The given function
[tex]f(x) = \dfrac{ 3}{x + 2} -\sqrt{x-3}[/tex]
By substitute x = 7 to find f(7)
[tex]f(7) = \dfrac{ 3}{7 + 2} -\sqrt{7-3}\\\\f(7) = \dfrac{ 3}{9} -\sqrt{4}\\\\f(7) = \dfrac{ 1}{3} -2\\\\f(7) = \dfrac{ 1 - 6}{3}\\\\f(7) = \dfrac{ -5}{3}\\[/tex]
f(7)= -5/3 = -1.67
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Simplify: 20 sin(2x) cos(2x)
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sin(2A)=2sin(A)cos(A)
substitute 2x for A, then
20sin(2x)cos(2x)=10(sin(2(2x))cos(2(2x))=10sin(4x)
To simplify 20 sin(2x) cos(2x), apply the double-angle trigonometric identities for sine and cosine.
The given expression: 20 sin(2x) cos(2x) can be simplified using the double-angle trigonometric identity for sine and cosine.
Apply the identities sin(2x) = 2sin(x)cos(x) and cos(2x) = cos²(x) - sin²(x).Substitute these identities into the expression and simplify to get the final result.A minor league baseball team plays 72 games in a season. If the team won 15 more than twice as many games as they lost, how many wins and losses did the team have?
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y = games lost
x + y = 72
x = 2y + 15
2y + 15 + y = 72
3y + 15 = 72
3y = 72 - 15
3y = 57
y = 57/3
y = 19 <=== lost games
x = 2y + 15
x = 2(19) + 15
x = 53 <=== won games
You want to buy a tent in the shape of a pyramid. The rectangular base is 35 square feet, with a height of 4 feet. What is the volume of the tent? Round your answer to the nearest hundredth.
23.33 cubic feet
46.67 cubic feet
93.33 cubic feet
140 cubic feet
Answers
V=(l*w*h)/3
need to find length = square root(35) 5.916
(5.916 *5.916*4)/3 =46.665
round to 46.67 cubic feet
A survey conducted by a song rating service finds that the percentages of listeners familiar with poker face by lady gaga who would give the song ratings of 5, 4, 3, 2, and 1 are, respectively, 50 percent, 18 percent, 19 percent, 8 percent, and 5 percent. assign the numerical values 1, 2, 3, 4, and 5 to the (qualitative) ratings 1, 2, 3, 4, and 5 and find an estimate of the probability distribution of x = this song’s rating by a randomly selected listener who is familiar with the song.
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The value of the expected mean, E(X), is given by
E(X) = 5(0.5) + 4(0.18) + 3(0.19) + 2(0.08) + 1(0.05) = 4
Which represents the estimated rating of the song
The probability distribution of the song 'Poker Face' ratings by a randomly selected listener familiar with the song can be represented by assigning probabilities to each rating based on the survey percentages. The sum of these probabilities equals 1, confirming a valid distribution.
Explanation:The student is asking about how to find the probability distribution for the ratings given to the song 'Poker Face' by Lady Gaga. To solve this, we assign numerical values to the qualitative ratings: 1, 2, 3, 4, and 5 correspond to the ratings 1 through 5, respectively.
We can list out the probabilities for each rating based on the survey as such:
Rating 5: P(X=5) = 50% or 0.50Rating 4: P(X=4) = 18% or 0.18Rating 3: P(X=3) = 19% or 0.19Rating 2: P(X=2) = 8% or 0.08Rating 1: P(X=1) = 5% or 0.05This list represents the estimation of the probability distribution of a song's rating by a randomly selected listener familiar with the song. In other words, it tells us the likelihood that a listener would rate the song at a certain level.
To confirm this is a valid probability distribution, we must check that the sum of all probabilities adds up to 1:
0.50 + 0.18 + 0.19 + 0.08 + 0.05 = 1.00
Since the sum is equal to 1, we have a valid probability distribution.
what value in place of the question mark makes the polynomial below a perfect square trinomial? 9x2+?x+49
Answers
the missing number should be the square root of the last number times 2 for a perfect trinomial
so square root of 49 = 7
7*2 =14
so the missing number should be 14
3x * 7 = 21x.....21x * 2 = 42x
lets check..
9x^2 + 42x + 49 = (3x + 7)^2...correct
so ur middle term will be 42x
The mean incubation time for a type of fertilized egg kept at 100.7100.7â°f is 2323 days. suppose that the incubation times are approximately normally distributed with a standard deviation of 22 daysdays. â(a) what is the probability that a randomly selected fertilized egg hatches in less than 2121 âdays? â(b) what is the probability that a randomly selected fertilized egg hatches between 1919 and 2323 âdays? â(c) what is the probability that a randomly selected fertilized egg takes over 2525 days toâ hatch?
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(a) less than 21 days.
z-score = (23 - 21) / 22 = 1/11
This translates to a percentage of 53.6%
(b) z-score for 19 days.
z-score = (23 - 19) / 22 = 2/11
This translates to a percentage of 57.2%.
z-score for 23 days.
z-score = (23 - 23)/ 22 = 0
This translates to a percentage of 50%.
The difference between the two numbers is only 7.2%
(c) z-score of 25.
z-score = (23 - 25)/ 22 = -1/11
This translates to a percentage of 42.3%.
Then, subtract this value from 100 to give us the final answer of 57.2%.
Which property of polynomial addition says that the sum of two polynomials is always a polynomial
Answers
Polynomials are closed under addtiion because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polinomyal of the same kind, except for the terms that cancel (positve with negative) which does not change the fact that the result is still a poynomial.
In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.
Answer:
Closure
Step-by-step explanation:
Use spherical coordinates. evaluate (9 − x2 − y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0.
Answers
[tex]\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}[/tex]
which gives volume element
[tex]\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta[/tex]
and so the triple integral is given by
[tex]\displaystyle\iiint_H(9-x^2-y^2)\,\mathrm dV[/tex]
[tex]=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9-\rho^2\sin^2\varphi)\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta[/tex]
[tex]=\displaystyle2\pi\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9\rho^2\sin\varphi-\rho^4\sin^3\varphi)\,\mathrm d\rho\,\mathrm d\varphi[/tex]
[tex]=\dfrac{592\pi}{15}[/tex]
To solve the given task, change the Cartesian coordinates into spherical coordinates. Rewrite the integrand and the solid hemisphere limits according to these new variables. Evaluate the final triple integral using standard techniques.
Explanation:To solve the given problem, the first step is to convert the Cartesian coordinates into spherical coordinates. In spherical coordinates, a point in three dimensions is represented by three parameters: ρ (rho) for the radial distance, θ (theta) for the azimuthal angle, and φ (phi) for the polar angle.
Here, given x² + y² + z² ≤ 4, z ≥ 0, the given region corresponds to a solid hemisphere centered at the origin and radius 2 in spherical coordinates, goes as 0 ≤ ρ ≤ 2, 0 ≤ θ ≤ 2π, and 0 ≤ φ ≤ π/2. Our spherical coordinates are x = ρsin(φ)cos(θ), y = ρsin(φ)sin(θ), and z = ρcos(φ).
Then, rewrite the integrand using spherical coordinates, (9 - x² - y²) becomes (9 - ρ²sin²(φ)) and dv becomes ρ²sin(φ)dρdφdθ.
The final integral that needs to be evaluated will read: ∫₀^2 ∫₀^π/2 ∫₀^2π (9 - ρ²sin²(φ))ρ²sin(φ) dθ dφ dρ. This is a triple integral in spherical coordinates that you can now solve using standard integration techniques.
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An indoor staircase has a 6 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 44 degrees and there are 15 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work: a) What is the landing space per step (in inches, rounded to the nearest tenth of an inch)?
Answers
with m(A)=44°, and |AB|=15 ft.
using a scientific calculator we can find that tan 44°=0.97.
Tan(A)= (opposite side)/(adjacent side)
0.97=|CB|/15
|CB|=0.97*15=14.55 (ft) = 174.6 (in)
This means that there are 176.6/6 = 29 steps, since the height of each step is 6 in.
The total horizontal space is 15 ft = 180 in,
180/29=6.2 (in)
Answer: 6.2 in
For football tryouts at a local school, 12 coaches and 42 players will split into groups. Each group have the same number of coaches and players. What is the greatest number of groups that can be formed? How many coaches and players will be in each of these groups?
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The distance between points
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Distance between points is square root of (x1 - x2) + (y1 - y2).
Hope it helped!
Simplify (7x+42)/(x^2+13x+42)
Answers
The simplified expression is given by:
[tex]\dfrac{7}{x+7}[/tex]
Step-by-step explanation:We are asked to simplify the expression which is given in terms of variable x as:
[tex]=\dfrac{7x+42}{x^2+13x+42}[/tex]
The given expression is a rational expression as it is a polynomial expression in the denominator as well as in the numerator.
Now we know that:
[tex]7x+42=7(x+6)[/tex]
and
[tex]x^2+13x+42=x^2+7x+6x+42\\\\\\i.e.\\\\\\x^2+13x+42=x(x+7)+6(x+7)\\\\\\i.e.\\\\\\x^2+13x+42=(x+7)(x+6)[/tex]
Hence, we get:
[tex]\dfrac{7x+42}{x^2+13x+42}=\dfrac{7(x+6)}{(x+6)(x+7)}\\\\\\i.e.\\\\\\\dfrac{7x+42}{x^2+13x+42}=\dfrac{7}{x+7}[/tex]
Hence, the simplified expression is:
[tex]\dfrac{7}{x+7}[/tex]
A cylinder storage tank is to contain V=16,000pi cubic feet (about 400,00 gallons). the cost of the tank is proportional to its area, so the minimal-cost tank will be the one with minimum area. The volume (V) of a cylinder of radius r and height h is (pi)(r^2)(h). its surface area is the area of top and bottom, 2(pi)(r^2), plus the side area 2(pi)(r^2)(h). find the dimensions, r and h, of the minimal-area tank
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now, we could get a critical point from zeroing the denominator, however, in this case, we only get 0, and a radius of 0, gives us no volume and thus no cylinder, so, is not feasible.
now, let's get the other critical values by zeroing out derivative.
[tex]\bf 0=4\pi r^3-32000\pi\implies 32000\pi =4\pi r^3\implies \sqrt[3]{\cfrac{32000\pi }{4\pi }}=r \\\\\\ \sqrt[3]{8000}=r\implies \boxed{20=r}[/tex]
now, doing a first-derivative test on the left and right sides of 20, say 19.999 and 20.001, check the picture below.
14,000 acres of 40,000 acre forest burned in a forest fire. What percentage of the forest was damaged?
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1 percent is 400 acres, so 14000/400= 35% of forest was burned
Four circles, each with a radius of 2 inches, are removed from a square. What is the remaining area of the square? (16 – 4π) in.2 (16 – π) in.2 (64 – 16π) in.2 (64 – 4π) in.2Four circles, each with a radius of 2 inches, are removed from a square. What is the remaining area of the square? (16 – 4π) in.2 (16 – π) in.2 (64 – 16π) in.2 (64 – 4π) in.2vvvv
Answers
Answer: [tex]64-16\pi[/tex] unit square.
Step-by-step explanation:
Here, four circle are removing from a square from the square of edge 8.
Since, The area of the square= [tex]8^2=64[/tex] square unit ( because, area of square=side×side)
The area of a circle with radius 2 = [tex]\pi(2)^2=4\pi[/tex] square unit.
The area of four circle of radius 2= [tex]4\times4\pi=16\pi[/tex] square unit.
According to the question, these four circle are removed by the above square.
Therefore remaining area of the square after removing these four circle=area of the square- area of four circle of radius 2= [tex]64-16\pi[/tex] square unit.
The remaining area of the square is 64 - 16π.
What is a circle?A circle is a bounded figure in which points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 22/7
R = radius
Area of one circle = 2²π = 4π
Area of four circles = 4 x 4π = 16π
What is a square?A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
Area of a square = length²
= (2x4)²
= 64
The remaining area of the square = 64 - 16π
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20 friends and 12 invations are left how many has she mailed
Answers
20-12 8
She has mailed 8 invitations.
Which of theses numbers is the smallest 0.02, 0.24, 0.11, 0, 2
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The number here that has the lowest value is 0! :D
I hope this helps! ^__^
Knowing that this number, the Golden Ratio, is present not just in mathematics, but may also be present within your own brain and body (at the atomic or subatomic level), what do you think it means? Is this number evidence of a grand design, a massive freak coincidence or something else?
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For practical purposes, limited to the approximate value of the ratio of a and b = 1,618 or approximately = 1,62. In percentage rounded value of the Golden Ratio is the division of any quantity in relation to 62% and 38 %.
The world have very much different values which often can have ratio like 62:38. However, we can say that many images with the Golden ratio, really looks nice.
Find m2, if m6 = 57° and m7 = 23°.
Answers
Final answer:
To find m2, subtract m6 from 180 degrees.
Explanation:
To find m2 in this problem, we can use the fact that angles in a triangle sum up to 180 degrees. We know that m6 = 57° and m7 = 23°.
First, we can find m1 by subtracting m7 from 180 degrees: m1 = 180° - 23° = 157°.
Next, we can find m2 by subtracting m6 from 180 degrees: m2 = 180° - 57° = 123°. Therefore, m2 is equal to 123 degrees.
A bicycle store costs $2,400 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicycle is $120. How many bicycles must the store sell each month to break even?
Answers
f(x)=60x-2400
0=60x-2400
2400=60x
x=40
They must sell 40 bikes.
Car cost $40000 it depreciates 12% each year. What is the cars value in 5yrs
Answers
A=p (1-r)^t
A future value?
P present value 40000
R rate of depreciation 0.12
T time 5years
A=40,000×(1−0.12)^(5)
A=21,109
Professor whata guy surveyed a random sample of 420 statistics students. one of the questions was, "will you take another mathematics class?" the results showed that 252 of the students said yes. what is the sample proportion, p, of students who saud they would take another math class?
Answers
The sample proportion, p, of students who said they would take another math class, p = 0.6 or 60%.
To determine the sample proportion, p, you can use the following formula:
p = x/nwhere:
x is the number of students who said yes (successes).n is the total number of students surveyed.From the question,
x = 252n = 420Substituting these values into the formula gives:
p = 252 / 420 = 0.6
Therefore, the sample proportion of students who said they would take another math class is 0.6 or 60%.
A medical plan requires a patient to pay a $25.00 copay plus 20% of all charges incurred for a medical procedure. If the average bill for a patient is between $200 and $800, find the range of the original bill.
Answers
It is stated that the total bill the patient would only pay would be the $25 plus 20% of the original bill. Therefore this would mean that:
25 + 0.2 * X = 200 ---> 1
25 + 0.2 * X = 800 ---> 2
Where X represents the original bill.
Calculating for X in equation 1:
25 + 0.2 * X = 200
0.2 * X = 175
X = 875
Calculating for X in equation 2:
25 + 0.2 * X = 800
0.2 * X = 775
X = 3875
Therefore the original bill ranges from $875 to $3875. The equality equation would be:
$875 ≥ X ≥ $3875
1)broccoli is 4lbs for $5 if she buys 3 pounds how much will it cost 2) if she buys 4.2 pounds of it what will be the cost
Answers
$5.25 for 4.2 pounds