What is the volume of the right triangular prism in cubic meters? Round to the nearest cubic meter
26.9 m
23 m
11 m
14 m

The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

Answer:

You can build 3,240 different home theater systems.

Step-by-step explanation:

The possible combinations can be calculated multypling the number of TVs available, the number of sorround systems available and the amount of DVD players avalaible.

\(C=X_{tv}\cdot X_{ss}\cdot X_{dvd}=9\cdot15\cdot24=3240\)

This is because for each type of TV, we can combine it with any type of sorruond system. This makes 15 combinations for each TV type. If we have 9 TV types, we have 9*15=135 combinations. Each of these combinations can be completed with one of the 24 types of DVD player, so we have 135*24=3240.

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

He needs to run with approximately 6429 for a distance of 9 km

The given parameters are:

Length of stride = 1.4 m

Distance for marathon = 9 km

The number of strides needed is then calculated as:

Number of stride = Distance for marathon/Length of stride

Substitute the known values in the above equation

Number of stride = 9km/1.4m

Convert km to m

Number of stride = 9000m/1.4m

Evaluate the quotient

Number of stride = 6428.57143

Approximate the estimate

Number of stride = 6429

Hence, he needs to run with approximately 6429 for a distance of 9 km

Read more about quotients at:

https://brainly.com/question/8952483

#SPJ1

Answer:

look it up that ushally helps

Step-by-step explanation:

Answer:

see the work below

Step-by-step explanation:

20.)    x = √32²+32² = √2048 = 45.25

y = 32(sin60) = 27.7

z = 32(cos60) = 16

22.)   x = 7√3 / cos60 = 24.25 = 14√3

y = 14√3 / tan30 = 42

sin30 = 14√3 / (z+7√3)

z + 7√3 = 14√3 / sin30

z = 14√3/√sin30 - 7√3 = 36.37 = 21√3

24.) z = 18(tan30) = 10.4

h = √10.4² + 18² = √432 = 20.785

x = y

2x² = 20.785²

x = √20.785²/2 = 14.7

y = 14.7

Answer:

Question 20:

Question 22:

Question 24:

Step-by-step explanation:

A 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2.  Therefore, the formula for the ratio of the sides is b : b : b√2 where:

A 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio  1 : √3 : 2.  Therefore, the formula for the ratio of the sides is c: c√3 : 2c where:

Side x is the hypotenuse of a 45-45-90 triangle with congruent legs measuring 32 units. Therefore b = 32.

\(\implies x=b\sqrt{2}=32\sqrt{2}\; \sf units\)

Side y is the side opposite the 60° angle in a 30-60-90 triangle with a hypotenuse of 32 units. Therefore, 2c = 32 so c = 16.

\(\implies y = c\sqrt{3}=16\sqrt{3}\; \sf units\)

Side y is the side opposite the 30° angle in the same 30-60-90 triangle.

\(\implies z=c = 16\; \sf units\)

Side x is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 7√3 units. Therefore c = 7√3.

\(\implies x=2c=2 \cdot 7 \sqrt{3}=14\sqrt{3}\; \sf units\)

Therefore, other leg of the same triangle (opposite the 60° angle) measures c√3 = 7√3 · √3 = 21 units.

Side y is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 21 units. Therefore c = 21.

\(\implies y=2c=2 \cdot 21 = 42\; \sf units\)

Side z is the leg of the same 30-60-90 triangle opposite the 60° angle.

\(\implies z=c\sqrt{3}=21\sqrt{3}\; \sf units\)

Side z is the side opposite the 30° angle in a 30-60-90 triangle with the other leg (opposite the 60° angle) measuring 18 units. Therefore, c√3 = 18, so c = 18/√3 = 6√3 units.

\(\implies z=c = 6\sqrt{3}\; \sf units\)

Therefore, the hypotenuse of the same triangle measures 2c = 12√3 units.

Sides x and y are the congruent legs of a 45-45-90 triangle with hypotenuse measuring 12√3 units. Therefore b√2 = 12√3, so b = 6√6.

\(\implies x=6 \sqrt{6}\; \sf units\)

\(\implies y=6 \sqrt{6}\; \sf units\)

Answer:

The first dot is on -9 and the second dot is on -7.

(a) -9 is to the left of -7.

(b) -9<-7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Calculate the products in the multiple choice and see if any equal the product in the problem.

Hence as the products calculated in choice A equal that in the problem;the answer is A

Answer:

16

Step-by-step explanation:

Number of male dog in Kennel are 15 dogs

Given that;

Total number of dogs = 24 dogs

Ratio of male dog = 5/8

Find:

Number of male dog in Kennel

Computation:

According to the question;

Number of male dog in Kennel = Total number of dogs × Ratio of male dog

Number of male dog in Kennel = 24 × [5/8]

Number of male dog in Kennel = 3 × 5

Number of male dog in Kennel = 15 dogs

Learn more:

https://brainly.com/question/14150442?referrer=searchResults

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

For more such questions on parking cost

https://brainly.com/question/18091509

#SPJ8

Answer:yeet yeet skeet skeet

Step-by-step explanation:

Answer:

it would ACTUALLY be 4x+2x

Step-by-step explanation:

youre welcome

Answer:

x = 5

Step-by-step explanation:

Piece 1 has length 5 inches

Piece 2 has length 20 inches

Piece 3 has length 25 inches

total length:50 inches

Answer:

The answer is 5:20 p.m

Step-by-step explanation:

2:45 to 3:45 is 1 hour. 3:45 to 4:45 is 2 hours and add 35 minutes is 5:20 p.m

RST is not a right triangle.

A Triangle is a polygon with three sides , three angles and three vertices.

It is given in the question that

triangle RST with coordinates R(2, 3), S(4, 4), and T(5, 0)

It has to be determined that if the triangle is a right angled triangle ,

If we plot the triangle on the coordinate plane , it can be easily seen that the triangle is not a right angled triangle ,

It can also be proved by measuring the length of the sides that if the sum of the squares of the sides is equal to the square of the largest side , then it will be a right triangle or not .

To know more about Triangle

https://brainly.com/question/2773823

#SPJ1

Answer:

Bacteria

Step-by-step explanation:

Budding is a kind of asexual reproduction, which is most frequently related in both multicellular and unicellular organisms. Bacteria, yeast, corals, flatworms, Jellyfish, and sea anemones are several animal species which reproduce through budding.

Answer:

The question is not complete. I will explain relative extrema and how to calculate it.

Step-by-step explanation:

The singular of extrema is extremum and it is simply used to describe a value that is a minimum or a maximum of all function values.

A function will have relative extrema (relative maximum or relative minimum) at points in which it changes from decreasing to increasing, or vice versa.

So if f(y) is a function of y

if there exists an interval (a, b) containing d

such that for all y in (a, b) , f(y) ≤ f(d)

if there exists an interval (a, b) containing d

such that for all y in (a, b) , f(y) ≥ f(d)

Kindly note that If f(d) is a relative extrema of f(y), then the relative extrema occurs at y = d.

For the local extrema of a critical point to be determined, the function must go from increasing, that means positive  \(f^{'}\), to decreasing, that means negative \(f^{'}\), or vice versa, around that point.

\(f^{'}\) is determined by finding the first derivative of the function f(y). The relative extrema will therefore allows us to check for any sign changes of f′ around the function's critical points.

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

Learn more on Pythagorean theorem here;

https://brainly.com/question/343682

#SPJ1

The coordinate of point B is (√3, 1 ).

The coordinate of point C is (3√3/2,  3/2).

The coordinate of points of B and C is calculated by applying the following formula as follows;

The given coordinate of point A;

A = ( √3/2, 1/2)

Fromm the given coordinate of point A, we can see that;

The coordinate of point B is calculated as;

point B; x-axis = (√3/2 x 2) = √3

point B; y axis = 1

B = (√3, 1 )

The coordinate of point C is calculated as;

point C; x-axis = (√3/2 x 3) = 3√3/2

point C; y axis = 3/2

C = (3√3/2,  3/2)

Learn more about coordinate of points here: https://brainly.com/question/17206319

#SPJ1

Answer:

A' = (-6, -6)

B' = (-12, -9)

C' = (-6, -15)

Step-by-step explanation:

Triangle ABC has the following vertices:

The formula for a dilation with a scale factor of r and centerpoint of the origin is:

Given the scale factor is 3, to determine the coordinates of the vertices after dilation, all we need to do is multiply them by 3.

Therefore, A' has coordinates (-6, -6).

Therefore, B' has coordinates (-12, -9).

Therefore, C' has coordinates (-6, -15).

Therefore, the coordinates of the dilated vertices are:

Answer:18/25 1/5 14/25

Step-by-step explanation:

The probability we have to choose 18/25 1/5 14/25.

Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber.

band, records the color, and returns it to the bag. She does this a total of 50 times.

and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.

Based on this information, what is the probability that Ms. Florina will select a blue rubber

band, return it to the bag and then select a green rubber band

Click the arrows to choose an answer from each menu.

It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

Based on the given information, the probability that Ms. Florina will select a blue rubber band is,

Therefore the probability we have to choose 18/25 1/5 14/25.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

1.

2.

3.

Answer: The equation y = 3x - 4 is a linear equation in slope-intercept form, where the slope (3) is the coefficient of x and the y-intercept (-4) is the constant term. To find a solution for this equation, we can substitute a specific value of x and solve for the corresponding value of y.

For example, if we let x = 2, we can substitute it into the equation:

y = 3(2) - 4 = 6

So the solution for x=2 is y=6

We can also graph this equation, it will be a straight line with slope 3 and y-intercept (-4)

Step-by-step explanation:

As you can see, the triangle has 3 vertices, located at:

(1,1) , (4,1) , (1,3)

after a translation 6 units to the left, the new coordinates will be:

(1 - 6,1) = (-5, 1)

(4 - 6, 1) = (-2, 1)

(1 - 6, 3) = (-5, 3)

after a reflection across the y-axis, the new coordinates will be:

(-5*(-1), 1) = (5,1)

(-2*(-1),1) = (2,1)

(-5*(-1), 3 ) = (5,3)

After these transformations, the coordinates of the triangle are:

(5,1) , (2,1) , (5,3)

Therefore, the correct choice is C.

In order to get the answer A, you can do the following:

As you can see the coordinates of the vertices of that triangle are:

(-10, 1) , (-7, 1) , (-7, 3)

So, first let's do a reflection across the y-axis:

(1*(-1) , 1) = (-1, 1)

(4*(-1) , 1) = (-4,1)

(1*(-1) , 3) = (-1, 3)

Now, we can do a translation 6 units to the left:

(-1 - 6, 1) = (-7,1)

(-4-6, 1) = (-10,1)

(-1-6,3) = (-7,3)

As you can see, they coincide with the coordinates of choice A

To test penalties' effect on a team's wins, analyze the data and calculate the correlation coefficient. Penalties and wins may be correlated, but one does not necessarily cause the other.

Other factors like team skill and strategy may influence penalties and wins.

The new questions using mathematics are

Is there a relationship between the gravity of penalties assessed against a football team (penalty yards) and their total points scored in a season?

Does the number of fouls committed by a basketball team in a season influence their shooting percentage?

By  using the available data, one can conduct a statistical analysis to establish a potential correlation between the total number of penalties a team has accumulated throughout a season and their overall number of wins.

Although there is a correlation between fines and victories, it does not imply that one is the direct cause of the other. It is possible that there are other contributing elements, such as team abilities, tactics, etc.

Learn more about rules violations from

https://brainly.com/question/14933777

#SPJ1

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ1

Answer: x2 + 4x + 16

Step-by-step explanation: