A triangular swimming pool measures 41 feet on one side and 64 feet on another side. These sides form an angle that measures 50°. To the nearest tenth of a foot, how long is the third side?

The square prism would contain more seed than the cone because it has a larger volume.

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of cone = (1/3) * π * radius² * height = (1/3) * π * 2.5² * 10 = 65.45 cm³

The volume of square prism =  base² * height = 5² * 2.5 = 62.5 cm³

The square prism would contain more seed than the cone because it has a larger volume.

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There is no angle (0) in degrees that answers the preceding equation since cos(0) = 3/2 is illogical.

To determine the angles of a right triangle, trigonometric ratios are ratios of the side lengths of the triangle. Sine (sin), cosine (cos), and tangent (tan) are the three fundamental trigonometric ratios, and their definitions are as follows:

Sine: The length of the angle's opposite side divided by the length of the hypotenuse is known as the sine of the angle.

Cosine: The length of the neighbouring side divided by the length of the hypotenuse is the angle's cosine value.

Angle's tangent is determined by dividing the length of the adjacent side by the length of the opposite side.

These ratios can be used to discover missing side lengths in right triangles and other situations with right triangles.

given

The number one is the value of cos(0).

There is no angle (0) in degrees that answers the preceding equation since cos(0) = 3/2 is illogical.

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The probability of on- time arrival in class given that the subject is biology is 82.4%.

Given the following table relating to subject on tie assignment submission and on time arrival in class.

Subject              On time submission                    On time arrival

Physics                    89.7%                                             82.3%

Maths                       88.2%                                            88.7%

Chemistry                89.4%                                             83.1%

Biology                     90.1%                                              82.4%

Total                         88.5%                                             84.7%

We have to find the probability of on time arrival in class given that the subject is biology.

We have been given the corresponding percentages and percentages in itself shows some quantity. Percentage is the ratio of total favourable outcome to total outcome.

From the table the probability of on time arrival in class given that the subject is biology is 82.4%

Hence the probability of on- time arrival in class given that the subject is biology is 82.4%.

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Question is incomplete as it should includes the following table:

Subject              On time submission                    On time arrival

Physics                    89.7%                                             82.3%

Maths                       88.2%                                            88.7%

Chemistry                89.4%                                             83.1%

Biology                     90.1%                                              82.4%

Total                         88.5%                                             84.7%

Answer:

82.4%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

67 is tyen answer i did the quiz im in 9th grade

The completed table represents the values of the missing entries for the given equation y = x² - 4x + 4.

To determine the values of the missing entries and complete the table, we need to substitute the given values of x into the equation y = x² - 4x + 4 and evaluate the corresponding y-values. Let's start:

For x = 0:

y = (0)² - 4(0) + 4

y = 0 - 0 + 4

y = 4

So, the ordered pair is (0, 4).

For x = 1:

y = (1)² - 4(1) + 4

y = 1 - 4 + 4

y = 1

So, the ordered pair is (1, 1).

For x = 2:

y = (2)² - 4(2) + 4

y = 4 - 8 + 4

y = 0

So, the ordered pair is (2, 0).

For x = 3:

y = (3)² - 4(3) + 4

y = 9 - 12 + 4

y = 1

So, the ordered pair is (3, 1).

For x = 4:

y = (4)² - 4(4) + 4

y = 16 - 16 + 4

y = 4

So, the ordered pair is (4, 4).

Completing the table:

x y

0 4

1 1

2 0

3 1

4 4

Therefore, the completed table represents the values of the missing entries for the given equation y = x² - 4x + 4.

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Alessia spent $5,408 on entertainment in 2021.

To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.

Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.

Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:

Rent = 35% × $26,000

= $9,100

The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.

To determine the ratio's total parts, we sum the individual parts:

Total parts = 6 + 11 + 8 = 25

Next, we calculate the value of one part of the ratio:

One part = ($26,000 - $9,100) / 25

= $16,900 / 25

= $676

Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:

Entertainment expenditure = 8 × $676

= $5,408

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Answer:

3x + 6.

Step-by-step explanation:

That would be x + x +2 + x + 4

= 3x + 6.

Verify this  by adding 7 9 and 11:

7 + 9 + 11 = 27

3(7) + 6 =  21 + 6 = 27.

Answer:

I do not know for sure but i think it might be B.

Step-by-step explanation:

Im not the smartest so yeah hopefully that is the answer you are looking for tho :D

Answer:

19.20

Step-by-step explanation: used

a calc

Answer:The answer is x > -1

Step-by-step explanation:

Answer:

44%

Step-by-step explanation:

11/25 =0.44

0.44 = 44/100 = 40%

         11x4 =44

       25x4=100

Answer:

Step-by-step explanation: Hi there.

25 is a multiple of 100, so it would be easier to get the fraction to x/100 first.

11*4=44

25*4= 100

We get 44/100, which is 0.44

If you move the decimal point two spaces and replace the decimal with a percent sign, you get your percentage: 0.44 -->44%

Have a nice day! :)

If Barry Bruin's proof that k-flow is NP-complete is indeed correct, it would have significant implications for the field of network flow. Specifically, it would imply that network flow problems are also NP-complete.

Network flow problems involve finding the maximum flow or minimum cut in a network. These problems are fundamental in various domains such as transportation, communication, and resource allocation.

NP-completeness, a property of computational problems, means that they belong to the class of the hardest problems in computer science. If network flow problems are proven to be NP-complete, it implies that finding optimal solutions for such problems is computationally intractable, even with efficient algorithms.

This result would have profound consequences for algorithm design and optimization, as it suggests that there is no known efficient algorithm to solve network flow problems in the general case.

Researchers would need to focus on developing approximation algorithms or heuristics to obtain suboptimal solutions within a reasonable amount of time.

It would also underscore the importance of considering alternative problem formulations or restrictions to make network flow problems more tractable in practice.

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The correct option is D:

p = 20 and q = 18, because 20 is double the square root of 100 and 18 is half of 36

Remember the perfect square trinomial:

(a + b)² = a² + 2ab + b²

Here we have the expression:

\(x^{36} + p*x^q + 100\)

Then we can say that:

a² = x³⁶

If we divide both exponents by two, we get:

a = x¹⁸

We also can see that:

b² = 100

Take the square root in both sides:

√b² = √100

b = 10

Finally, the middle term will be:

\(2ab = px^q\)

Replacing the values of a and b, we will get:

2*(x¹⁸)*10

20x¹⁸

Then we can see that:

p = 20

q = 18

The correct option is D.

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this equation is only valid at the point (a, b) where we found the slope of the normal line. To find the equation of the normal line at a different point, we would need to repeat this process with new values of a and b.

To find the equation of the line normal (perpendicular) to the graph of y = x^3 + 3x^2 + 7x - 1 at a point (a, b), we need to determine the slope of the normal line at that point.

The slope of the tangent line to the curve at (a, b) is given by the derivative:

f'(x) = 3x^2 + 6x + 7

So the slope of the tangent line at x = a is:

m = f'(a) = 3a^2 + 6a + 7

The slope of the normal line is the negative reciprocal of the slope of the tangent line, so:

m_n = -1/m = -1/(3a^2 + 6a + 7)

Now we have the slope of the normal line at (a, b), and we just need to find the equation of the line in point-slope form, using the point (a, b):

y - b = m_n(x - a)

Substituting the expression for m_n, we get:

y - b = (-1)/(3a^2 + 6a + 7)(x - a)

Multiplying both sides by 3a^2 + 6a + 7 to eliminate the fraction, we get:

(3a^2 + 6a + 7)(y - b) = -(x - a)

Expanding and rearranging, we get the equation of the line normal to the graph of y = x^3 + 3x^2 + 7x - 1 at (a, b):

(3a^2 + 6a + 7)y = -x + (3a^2 + 6a + 7)b + a

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Answer:

6x² + 19x + 15

Step-by-step explanation:

2x(3x+5)+3(3x+5)

= (3x + 5) (2x + 3)

= 6x² + 9x + 10x + 15

= 6x² + 19x + 15

So, the answer is 6x² + 19x + 15

We can start by simplifying the left side of the equation using the distributive property:

2x(3x+5)+3(3x+5) = (2x)(3x) + (2x)(5) + (3)(3x) + (3)(5)

= 6x^2 + 10x + 9x + 15

= 6x^2 + 19x + 15

Now we can compare this expression with the right side of the equation, which is a polynomial in x with unknown coefficients a, b, and c:

ax^2 + bx + c

Since the two sides are equal, their corresponding coefficients must be equal as well. This gives us a system of three equations in three unknowns:

a = 6 (the coefficient of x^2)

b = 19 (the coefficient of x)

c = 15 (the constant term)

Therefore, the solution to the equation 2x(3x+5)+3(3x+5)=ax^2+bx+c is:

2x(3x+5)+3(3x+5) = 6x^2 + 19x + 15

Five copies of a textbook are placed in a travel bag by Jada's instructor. 17 pounds are made up of the bag and the books. Each copy of the textbook weighs 2.8 pounds.

To find the weight of each book, we can start by using algebra. Let's call the weight of each book "b".

The weight of the bag and books together is 17 pounds, and we know the empty bag weighs 3 pounds. So the weight of the books alone is:

17 - 3 = 14 pounds

Since there are 5 copies of the textbook in the bag, we can write an equation:

5b = 14

To solve for "b", we can divide both sides by 5:

b = 2.8 pounds

It's worth noting that this is an example of a simple algebraic equation that can be solved using basic arithmetic. However, algebra is a powerful tool for solving more complex problems in math, science, and other fields. By understanding how to use variables and equations to represent real-world situations, we can gain deeper insights and make more accurate predictions about the world around us.

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The solution to the inequality is:

x ∈ (-∞, -21].

The correct option is F.

To solve the given inequality, we'll first simplify the expression:

23 < 3x - 3 ≤ -66

To simplify the inequality,

23 < 3x - 3 ≤ -66

Adding 3 to all parts of the inequality:

23 + 3 < 3x - 3 + 3 ≤ -66 + 3

Simplifying:

26 < 3x ≤ -63

Next, divide all parts of the inequality by 3:

26/3 < 3x/3 ≤ -63/3

Simplifying:

8.67 < x ≤ -21

Therefore, the solution to the inequality is:

x ∈ (-∞, -21]

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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:

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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Answer:

-27

10x +8.

Step-by-step explanation:

x² - 9 ÷ x² - 4x - 5

=x²+5x+4 x² - 2x - 15

x² - 9 × x² - 2x - 15

=x² +5x +4 x² - 4x - 5

-9 × 3

=5x. 4. 2

-27.

=10x + 8 .

Answer:

B: The retiree has a pension savings of $51,000

Step-by-step explanation:

Answer:

0.8 i guess

Step-by-step explanation:

The row including x=0.7 in the table is the closest to the actual solution for the expression \(\sqrt{(2x+3)}=\dfrac{x}{(x+5)}+2\).

In order to find the actual solution of any algebraic expression, we can graph it and the point at which the graph intersects the axis is its actual solution.

First, we will find the actual solution of the expression \(\sqrt{(2x+3)}=\frac{x}{(x+5)}+2\)  by graphing it.

From the graph, we can see that the expression intersects when x=0.7 so, the actual solution is 0.7.

Thus, the 0.7 row in the table is the closest to the actual solution.

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The polar coordinates for (r,θ) are (√1690,tan−1(21/23))

Given the parametric curve (x(t),y(t))=(t2,t5) for t in [0,1] is to be revolved around the x-axis.

Here is how to find the surface area SA of the surface of revolution:

Formula for finding the surface area of a surface of revolution

Let the curve be y = f (x), a ≤ x ≤ b, which is rotated about the x-axis to produce a surface S.

If ΔS is a small segment of the surface, then its area can be approximated byΔS = 2πyΔs,

where y is the distance from the x-axis to the curve,

           and Δs is the length of the curve.

As Δs → 0, we have the exact area of S to be SA = ∫ab2πy(x)ds(x)

The length of the curve is found by using the following formula, ds:

ds2=dx2+dy2

Solving the integral for the surface area SA of the surface of revolution,

In this instance, x(t) = t² and y(t) = t⁵

The length of the curve, ds is as follows:

ds = dx2+dy2

     = 1+4t4dt

The surface area of revolution SA is obtained by:

SA = 2π∫ab(y(x)√(1+(dy/dx)²)dx

     = 2π∫01t5√(1+(dy/dx)²)dx

     = 2π∫01t5√(1+(5t3/2t2)²)dx

     = 2π∫01t5√(1+25t4)dx

     = 2π∫01t5(1+25t4)1/2dx

Euclidean coordinates of the point in the plane having polar coordinates (r,θ)=(4,π/3)

To find the Euclidean coordinates (x,y), use the following formulas;

x = r cos θy = r sin θ

Here, r = 4, and θ = π/3x = 4cos(π/3)y = 4sin(π/3)

Therefore, the Euclidean coordinates are (x, y) = (4cos(π/3), 4sin(π/3))

Simplifying the above expression will yield;

(x, y) = (-2, 2√3)

Polar coordinates of the point in the plane having Euclidean coordinates (x,y) = (23​​,21​)

The polar coordinates (r,θ) can be found by the formulas;r² = x² + y²tan θ = y/x

From the problem, x = 23​​, and y = 21

Therefore;r² = (23/1)²+(21/1)²

                     = 1690tan θ

                     = y/x

                     = 21/23θ

                     = tan−1 (y/x)

                     = tan−1 (21/23)

The polar coordinates are (r,θ) = (√1690,tan−1(21/23))

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Check the picture below.

By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.

This can be used to explain the part of linguistics that has to do with the use of language in its given context.

The use of pragmatics comes up in conversations, and implications of what is being said.

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Answer:

Step-by-step explanation:

1. An equation is said to be linear if the variables have power not greater than 1.

Thus, the linear equations from the list are:

B. Y = \(\frac{2}{3}\)x + 6

C. Y = |x| + 4

D .Y = 2x - 5

2. Comparing the equations with y = mx ± c, the constant rate of change for each linear equation are:

B. \(\frac{2}{3}\)

C. 1

D. 2

3. The constant rate of change is the gradient (slope) of a linear equation. It describes the steepness of a line from the plot of points obtained from the linear equation.

Answer:

$34.56

Step-by-step explanation:

First, find the discount price.

20% of 40

20/100 x 40= $8

Deduct the discount from the original price.

40 - 8 = $32

This is the discount price.

Now, find 8% (tax) of the price.

8/100 x 32 = $2.56

Add it to the price.

32 + 2.56 = $34.56

Hope this helps!

Answer:

1/3 of the size

hope it helps☆☆☆

Answer:

5:9

Step-by-step explanation:

100:180 can be simplified by dividing by 20, which results in the ratio 5:9

Answer:

1 : 1.8

Step-by-step explanation:

ratio of pigs : sheep = 100 : 180 ( divide both parts of the ratio by 100 )

= 1 : 1.8

Answer:

81π cubic units

Step-by-step explanation:

The formula for volume of cone is given by:

V = 1/3πr^2h, where

Step 1:  Find radius:

We know that the diameter, d, is simply twice the radius.  Thus, we can find the radius of the circular base by dividing the given diameter by 2:

d = 2r

d/2 = r

9/2 = r

4.5 units = r

Thus, the radius of the circular base is 4.5 units.

Step 2:  Find volume and leave in terms of pi:

We can find the volume in terms of pi by plugging in 4.5 for r and 12 for h and simplifying:

V = 1/3π(4.5)^2(12)

V = 1/3π(20.25)(12)

V = 1/3π(243)

V = 81π cubic units

Thus, the volume of the cone in terms of pi is 81π cubic units.