Find the measure of the missing angles.

Step-by-step explanation:

FÓRMULA:

\(144 m^{2}\) = b(8 m)

SE DESPEJA

b = \(144 m^{2}\)/8 m = 18 m

Answer:

A =576 pi in ^2

Step-by-step explanation:

Circumference  is given by

C = 2 * pi *r

48 pi = 2 * pi *r

divide by 2 pi

48 pi /2 pi = 2 * pi * r / 2 pi

24 = r

We can find the area by

A = pi r^2

A = pi (24)^2

A =576 pi in ^2

Answer:

576π in^2

Step-by-step explanation:

Circumference of circle (C) = 2πr = 48π in

2πr = 48 π

r = 48π/2π = 24 in

Area of circle (A) = πr^2

r (radius of circle) = 24 in

A = π(24 in)^2 = 576π in^2

Answer:

No, the pool will not fit.

Step-by-step explanation:

Radius of pool: 3.14 r^2= 379.94

Divide by 3.14: r^2= 121

Square root both sides: r=11

11>10, thus the pool won't fit.

Answer: 210

Step-by-step explanation:

We know that the number of combinations of n things taken r at a time is given by :-

\(C(n,r)=\dfrac{n!}{r!(n-r)!}\)

So, number of ways to select 3 plants out of 7 = \(C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35\)

Also number of ways to arrange them in 3 positions = 3! = 6

Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)

= 35 x 6

=210

Hence, required number of ways = 210

Since, the arrangement does not matter, we use the principle of combination, Hence, the number of display arrangement possible is 210

This could be defined thus as : (7C3) × 3! ;

3! = number of ways to arrange the 3 plants into the 3 spots

Recall :

7C3 = \( \frac{7!}{(7-3)!3!} = \frac{7!}{4!r3!} \)

7C3 = \( \frac{7×6×5}{6} = 35 \)

3! = 3 × 2 × 1 = 6

(7C3) × 3! = 35 × 6 = 210 ways

Therefore, there are 210 possible arrangements which can be made.

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Answer:

  140 cm²

Step-by-step explanation:

You want the total surface area of a triangular prism as represented by the given net.

The total area is the sum of the areas of the two triangular bases and the three rectangular faces. The relevant formulas are ...

  A = 1/2bh . . . . . . area of triangle with base b, height h

  A = bh . . . . . . . area of rectangle with base b, height h

The total area is ...

  SA = 2(1/2bh) +(b1)h +(b2)h +(b3)h . . . . . . . triangle h=5, rectangle h=8

  SA = 2(1/2)(4 cm)(5 cm) + (8 cm)(6 cm +4 cm +5 cm)

  = 20 cm² +(8 cm)(15 cm)

  = 140 cm²

The total surface area of the triangular prism is about 140 cm².

Answer:

R

Step-by-step explanation:

Look at the X value, 3.5, and draw a line from 3.5 up on the X axis.

Look at the Y value, 2.5, and draw a horizontal line on the y axis. Your point is at R.

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle , that is

3x + 2x + 6 + 6x - 3 ( simplify by collecting like terms )

= 11x + 3

Given the perimeter = 36 units , then

11x + 3 = 36 ( subtract 3 from both sides )

11x = 33 ( divide both sides by 11 )

x = 3

Then

base = 2x + 6 = 2(3) + 6 = 6 + 6 = 12 units

height = 3x = 3(3) = 9 units

hypotenuse = 6x - 3 = 6(3) - 3 = 18 - 3 = 15 units

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m

Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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Answer:

4500 gr

Step-by-step explanation:

4.5 kg equals some number (n) times one gram.  Solve this for n:

4.5 kg = n(1 gr)

Recall that 1 kg = 1000 gr.  Because of this, the equation above becomes

        4.5 kg          (4.5)(1000 gr)

n = --------------- or ------------------- or 4500 gr

       1000 gr                     1 gr

Answer:

The answer is 70 ways.

Step-by-step explanation:

8C4 = 70.

40320/576 is equal to 70.

Answer:

36

Step-by-step explanation:

Use the counting principle.

2 * 3 * 6 = 36

Answer: 36

Answer: 30 outfits

Step-by-step explanation:

2 x 5 x 3 =30

Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

n=196

x=26,2

s=6,2

CL=99%

then z= 2.576

we use the following formula to find the confidence interval

Thus the 1st answer is: 25.1 < u < 27.3

now comparing the 2 intervals we find the answer to the second question

Are the results very differts?

the answers is

A. No, because the confidence interval limits are similar

Answer:

Ok? Did you finished asking the question? Just in case, that is 89/100 or 0.89

Step-by-step explanation:

Here, Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.

Given that, A local school board wants to get parents to evaluate teachers. They select 100 parents and find that 89% approve of their child’s teacher, here we need to find the population, sample and parameter of interest

So, as we see,

The population is the entire group that you want to draw conclusions about.

Therefore, the population here is = All parents

The sample is the specific group that you will collect data from.

Therefore, the sample = 100

The parameter is any characteristic that can help in defining or classifying a particular system.

Therefore, the parameter = Parents’ approval of teachers

Hence, we get Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers

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Answer:Company B 12.72

Step-by-step explanation:

35/2.75=12.72

32.50/2.5=13

You divide them so you get the price per one pound.

Hope this helps!!!!

Answer:

Company B offers the lowest price per pound of 12.72

Step-by-step explanation:

Unit Price

Given a product that costs X dollars and has Y pounds, the unit price is given by X/Y dollars per pound.

Elle is comparing prices to purchase candy online. Company A offers 2 1/2 pounds of chocolate for $32.50 and Company B offers 2 3/4 pounds of chocolate for $35.00.

The offer of Company A is for 2 1/2 pounds = 2.5 pounds

The offer of Company B is for 2 3/4 pounds = 2.75 pounds

The unit price for Company A is $32,50/2.5 = $13/pound

The unit price for Company B is $35,00/2.75 = $12.72/pound

Company B offers the lowest price per pound of 12.72

Answer:

-4 0 4

Step-by-step explanation:

Answer:there all in the domain

Step-by-step explanation:

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Answer:

c

Step-by-step explanation:

because it just moves to the right by 7 units. it does not change in shape or size, only location.

Answer:

C an equilateral triangle of exactly the same size

A)

The lengths of side RQ and side R'Q' are in the ratio 1:3.

The product of f(x) and g(x) is -2x² +16x -24.

A function is a relation such that there is only one unique output for every input.

Given that, the functions, f(x) = x-6 and g(x) = -2x + 4.

The value of f(x) × g(x) is,

f(x) × g(x)

= (x-6)(-2x+4)

= -2x²+4x + 12x -24

= -2x² +16x -24

Hence, the product of f(x) and g(x) is -2x² +16x -24.

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I) and II) are true because the limit of the function at x=2 is 5, which implies that f is continuous and differentiable at x=2. III) is false because the derivative of f does not need to be continuous at x=2.

Let f be a function such that lim h→0 (f(2+h) - f(2)) / h = 5.

We can calculate this limit as follows:

lim h→0 (f(2+h) - f(2)) / h = lim h→0 (f(2+h) / h) - (f(2) / h)

= lim h→0 f(2+h) / h - lim h→0 f(2) / h

= lim h→0 f(2+h) / h - 0

= lim h→0 f(2+h) / h

= 5

Therefore, I) and II) are true because the limit of the function at x=2 is 5, which implies that f is continuous and differentiable at x=2. III) is false because the derivative of f does not need to be continuous at x=2.

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Answer:

4.4

Step-by-step explanation:

To find the answer we would need to find by how much the amount reduced from Figure B to Figure A.

10/4=2.5.

Now we just need to divide 11 by 2.5 which equals 4.4.

So, if I'm correct, the answer should be 4.4.

Hope this helps! <3

Answer:

Step-by-step explanation:

the only critical point of the system is (0,0).

To write the given nonlinear second-order differential equation as a plane autonomous system, we need to introduce a new variable. Let's define y = x', then we have:

x" = y' = -5x - y^2

Therefore, the plane autonomous system is:

x' = y

y' = -5x - y^2

To find the critical points of the system, we need to solve the system of equations:

x' = y = 0

y' = -5x - y^2 = 0

From the first equation, we have y = 0. Substituting y = 0 into the second equation, we have:

-5x - 0^2 = 0

x = 0

what is critical point?

In mathematics, a critical point is a point in the domain of a function where the function is either not differentiable or the derivative is equal to zero. In other words, critical points are the points where the function may have a maximum, minimum or a point of inflection. They are important in calculus, optimization, and other areas of mathematics.

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The value of r is 0.2695.

In Romberg integration, Richardson extrapolation is applied on the trapezoidal rule to compute a more accurate numerical approximation of an integral than the Trapezoidal Rule.

The trapezoidal rule may be represented by the following equation:

T(h) = (h/2) [f(a) + f(b) + 2Σ_(i=1)^(n-1) f(a+ih)]

Where h = (b-a)/n;

n is the number of sub-intervals;

R1,1 represents the first iteration of R, and k represents the number of rows in the Romberg table.

Here, R1,1= (1/2) [f(a) + f(b)](i) h = h/2^i = 1/2, 1/4, 1/8, ..... (n = 2^(i-1))

Hence,R1,2 = (4R1,1 - R2,1)/3R2,2 = (4R2,1 - R1,1)/3

Then, R = R2,2 = (4R2,1 - R1,1)/3Also, Rl_11 = R1,1 = (1/2) [f(a) + f(b)]If RL_11 = 0.250,

we can assume that: R1,1 = 0.250 => (1/2) [f(a) + f(b)] = 0.250 => [f(a) + f(b)] = 0.5

And, we have the numerical value of R:R = 0.2315

Then, we can calculate R2,1:R2,1 = (1/2) [R1,1 + R1,2] = (1/2) [0.250 + R1,2]Also, from R2,2 = (4R2,1 - R1,1)/3,

we can rearrange the terms and solve for R1,2 as follows:

R1,2 = (4R2,1 - R1,1)/3 - [R2,2 - R2,1]/(4^1 - 1) = (4(0.250) - R1,1)/3 - [R2,2 - R2,1]/3(R2,2 - R2,1) = 4/3 (R2,1 - R1,1) = 4/3 (0.2315 - 0.250) = -0.02266667∴ R2,2 = (4R2,1 - R1,1)/3 = (4(0.27425) - 0.250)/3 = 0.2695

And,R = R2,2 = 0.2695.

Hence, we can conclude that the value of r is 0.2695.

Romberg integration is a numerical integration technique that is used to approximate the value of a definite integral. Richardson extrapolation is used in this technique to improve the accuracy of numerical approximations.

The Romberg table is used to record the values of Rk,l for different values of k and l.

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595 hours is time it will take to fill the swimming pool  .

A fraction is a mathematical symbol representing any quantity of equal parts, and it also represents a portion of a whole. When employed in conversational English, a fraction—such as one-half, eight-fifths, and three-quarters—indicates the number of components of a particular size.

inlet pipe will fill the pool in 34 hours. Every hour, it fills 1/34 of the pool

Outlet pipe will empty the pool in 35 hours. Every hour, it empties 1/35 of the pool.

In x hours we want 1/2 the pool to fill, since half is already filled.

We want  (x/34) - (x/35) = 1/2

multiply by 1190 both sides, the LCD.

35x-34x=595 (1190/2)

x=595 hours

in that time 595/34-595/35=0.5

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