the area of triangle is 48 cm sq,its base is 12 cm. find its altitude​

Answer:

113.097 square meters

Step-by-step explanation:

First, let's take a moment to visualize the information in this problem. Assuming the sprinkler has full range of motion, this would mean the area covered by the water would form a circular shape, with the sprinkler as the center.

Using this information, we also know that the 6 m of water sprayed by the sprinkler is equal to the radius of the circle. In order to find the area of the shape, we will use the formula for the area of a circle:

A = pi(r^2)

Filling in our known radius, we have:

A = pi(6^2) = pi(36) = 113.097 square meters

Hope this helped!

Answers:

Both values are approximate.

==========================================================

Explanation:

h = height of the tower

We have two right triangles, one of which has the acute angle 38 degrees which is on the left side. Focus on this triangle to find h

sin(angle) = opposite/hypotenuse

sin(38) = h/200

200*sin(38) = h

h = 200*sin(38)

h = 123.132295 is the approximate height of the tower in meters

We'll use that tower height to find the other angle of elevation, which I'll call x for now. Focus on the triangle on the right.

sin(angle) = opposite/hypotenuse

sin(x) = h/170

sin(x) = 123.132295/170

sin(x) = 0.724308

x = arcsin(0.724308)

x = 46.411312

x = 46.411

The wire on the right side forms an angle of roughly 46.411 degrees. This is the angle made between the wire and the ground.

--------------

So far, we've only used sine to figure out the tower height h and the missing acute angle along the ground. Turn to cosine to find the distances along the ground (aka the horizontal pieces of each triangle). I'll call those pieces y and z.

Start with the triangle on the left

cos(angle) = adjacent/hypotenuse

cos(38) = y/200

y = 200*cos(38)

y = 157.602151

Then move to the triangle on the right side

cos(angle) = adjacent/hypotenuse

cos(x) = z/170

cos(46.411312) = z/170

z = 170*cos(46.411312)

z = 117.211014

Lastly, add up the values of y and z to get the distance between the cables along the ground: y+z = 157.602151+117.211014 = 274.813165

When rounding to three decimal places, we get 274.813 meters

=================================================

Explanation:

2 freshmen + 3 sophomores + 2 juniors + 2 seniors = 9 students total.

Let's consider the cases where we have the same number of juniors and seniors. We'll then take the complement of this to get the final answer.

-----------

Case A: There is 1 junior and 1 senior

There are 2 ways to pick a junior and 2 ways to pick a senior. That's 2*2 = 4 ways so far.

Then we have 9-4 = 5 students left to pick from (i.e. 2 freshmen+3 sophomores = 5 students left) and we have 5-2 = 3 seats to fill. Order doesn't matter on the committee since each person has equal rank.

We use the nCr combination formula.

n = 5 students

r = 3 seats to fill

n C r = (n!)/(r!(n-r)!)

5 C 3 = (5!)/(3!*(5-3)!)

5 C 3 = (5!)/(3!*2!)

5 C 3 = (5*4*3!)/(3!*2!)

5 C 3 = (5*4)/(2!)

5 C 3 = (5*4)/(2*1)

5 C 3 = (20)/(2)

5 C 3 = 10

There are 10 ways to fill the remaining 3 seats when we pick from the freshmen and sophomores only.

To recap everything so far:

Therefore, we have 4*10 = 40 different combinations possible for case A. We'll refer to this value later.

-----------

Case B: We pick 2 juniors and 2 seniors

Since there 2 juniors to pick from, and 2 junior seats to fill, there's only 1 way to do this. Likewise, there's only 1 way to pick the 2 seniors to fill the 2 seats.

In total so far there is 1*1 = 1 way to pick the 2 juniors and 2 seniors in any order you like.

Then we have 9-4 = 5 students left that are freshmen or sophomores. This is the number of choices we have for the final 5th seat.

We have 1*5 = 5 ways to have case B happen.

----------

Summary so far:

There are 45 ways to have the same number of juniors as seniors (either 1 of each or 2 of each).

Now we must calculate the number of total combinations possible on this committee. We'll turn to the nCr formula again.

n = 9 students

r = 5 seats

n C r = (n!)/(r!(n-r)!)

9 C 5 = (9!)/(5!*(9-5)!)

9 C 5 = (9!)/(5!*4!)

9 C 5 = (9*8*7*6*5!)/(5!*4!)

9 C 5 = (9*8*7*6)/(4!)

9 C 5 = (9*8*7*6)/(4*3*2*1)

9 C 5 = (3024)/(24)

9 C 5 = 126

There are 126 different five-person committees possible.

Of those 126 committees, 45 of them consist of cases where we have the same number of juniors and seniors.

That must mean there are 126-45 = 81 combinations where we do not have the same number of juniors and seniors. This is where the concept of "complement" comes in.

15x=-42-19y

3x=-54-19y

Subtract both

Put in second

So

Answer:

1, -3

Step-by-step explanation:

Solve the system of linear equations:

-------------------------------------------------------------------------------------

Subtract the equations to eliminate y:

     15x = -42 - 19y

-      3x = -54 - 19y

    ----------------------

    12x = 12

⇒ x = 12 ÷ 12

⇒ x = 1

Now substitute the found value of x into one of the equations and solve for y:

⇒ 15x = -42 - 19y

⇒ 15(1) = -42 - 19y

⇒ 15 = -42 - 19y

⇒ 19y = -42 - 15

⇒ 19y = -57

⇒ y = -57 ÷ 19

⇒ y = -3

Therefore, x = 1 and y = -3

Answer:

  6

Step-by-step explanation:

You want the x-coordinate of the midpoint of segment AB with endpoint coordinates A(21, 5) and B(-9, -13).

The midpoint of a line segment has coordinates that are the average of the endpoint coordinates:

  M = (A +B)/2

  M = ((21, 5) +(-9, -13))/2 = (12, -8)/2

  M = (6, -4)

The midpoint of AB is (6, -4).

The x-coordinate of the midpoint is 6.

Given the following question:

Speaking how the maximum height is 16 meters and the vertex is (4, 16)

Answer:

144.84

Step-by-step explanation:

Answer:

X=30 Y=60 Z=90

Step-by-step explanation:

When you dilate the triangle the angles don’t change and they are similar triangles so you just follow the order QRS the X would have the same angle as the Q, Y would have the same angle as R and Z would have the same angle as S.

The equation of the form 'y = a·sin(b·x)' or 'y = a·cos(b·x)' that describes the sinusoidal graph in the question is; y = 5·sin((π/4)·x)

A sinusoidal graph is a graph that has the form similar to sine or cosine function.

The information obtained from the graph indicates that we can write the equation for the graph in the form 'y = a·sin(b·x)' since the value of the function at x = 0 is 0, and sin(0) = 0.

The maximum point of the graph (2, 5) tells us that the multiple a which is the amplitude of the function is 5.

The distance between two consecutive minimum and maximum points is half the period. So the distance between the maximum point (2, 5) and the minimum point (6, -5) is 6 - 2 = 4, which indicates that half the period is 4.

Therefore, the period of the graph  = 8.

The equation for the period is; Period = 2·π/b, therefore;

8 = 2·π/b

b = 2·π/8 = π/4

A zero of the graph is located at the point (0, 0), therefore, the graph does not have a phase shift.

Therefore, combining the above parameters, the final equation for the graph is; 'y = 5·sin((π/4)·x)

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The Euler's formula solved for the variable V gives . V = 2 + E − F. Option 2

The subject of a formula is the variable or variables that represent the quantity being calculated or solved for.

In mathematical formulas, the subject is typically denoted by a letter or symbol, and the formula shows the relationship between the subject and other variables or constants in the equation.

From the information given, we have that;

V − E + F = 2

To make the variable, V, the subject, take the steps

collect the variable E

V + F = 2 + E

Now, collect the F variable

V = 2 + E - F

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The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

Dominos is the better deal.

Answer:

The speed of the plane with no wind is 378 miles per hour.

Step-by-step explanation:

Since at maximum speed, an airplane travels 1680 miles against the wind in 5 hours, and flying with the wind. the plane can travel the same distance in 4 hours, to determine what is the speed of the plane with no wind, the following calculation must be performed:

Against the wind = 1680/5 = 336

With the wind = 1680/4 = 420

420 - ((420 - 336) / 2) = X

420 - 42 = X

378 = X

Therefore, the speed of the plane with no wind is 378 miles per hour.

Answer:

a. h=5
b. A=.5(b)(h). So, 18=.5(6)(h+1). If I plug in 5 as h and solve, 18=.5(6)(6) which can be simplified to 18=(.5)(36). So, h is 5.  

Step-by-step explanation:

Since the area = 18, and the formula for area is .5(b)(h), I can start solving by plugging in the numbers I have. 18=.5(6)(h+1). I multiply both sides by 2 to get rid of the .5, getting 36=6(h+1). I divide by 6 on both sides, getting 6=h+1. I subract 1 on both sides to get h=5

Answer:

a. h=5

b. A=.5(b)(h)

Step-by-step explanation:

Answer:

$51

Step-by-step explanation:

Answer: The answer would be B, The number of movies purchased by an individual subscriber for a particular month.

Step-by-step explanation:

Looking at the problem and graph it can be determined there is a day and date purchased. But there isn't a time frame over the course of a few months.

Using only the information in the database, we can conclude that the answer will be B, The number of movies purchased by an individual subscriber for a particular month.

There is a day and date purchased, it can be seen by looking at the problem and graph. But there isn't a timeline that spans several months. A graph is a diagram or visual representation that organizes the presentation of facts or values. The points on a graph are typically used to depict the relationships between two or more things. A straightforward two-dimensional graph is created when a vertical and horizontal line join at the origin. The y axis is vertical and the x axis is horizontal. In simple line graphs, the x and y axes are divided into evenly spaced subdivisions and assigned integer values.

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The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.

Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.

In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.

Therefore, the correct option is A.

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Complete question

Which statement best analyzes the role this event plays in The Necklace plot?

“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”

It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

It is the climax of the story since the reader is most excited at this point.

It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.

It serves as the falling action because it shows that Mathilde will have to get used to her place in life.

The phrase "non-sampling error" refers to any systematic errors and random errors that are not related to sampling and cause estimates to deviate from their real values but are independent of the sample size used.

A survey is a research technique used to gather data from a predetermined sample of respondents in order to learn more and acquire insights into a range of interesting topics. Depending on the methodology chosen and the objective of the study, they can serve a variety of functions and be carried out in a variety of methods.

The false statement is:

In the event that the population you are sampling from differs from the population of interest, for instance, because of undercover, sophisticated statistical methods can always be used to adjust the data. ​

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Answer:

-18 10

5 -3

Step-by-step explanation:

theres some formula that tells you the general rule for multiplying 2x2 matrices but I cant find it, try looking in your textbook or ask ur teacher

1.644 gml⁻¹ is is the new volume of the water .

What is density, ?

density = mass/volume

     ρ  = 12.5/7.6

      ρ = 1.644 gml⁻¹

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Answer: 8

Step-by-step explanation:

32/4

The profit become 60%if it had been sold for $16.

According to the statement

we have to find the profit when the article had been sold for $16.

So, For this purpose, we know that the

Profit is the excess of returns over expenditure in a transaction or series of transactions especially.

And,

The given information is When an article was sold for $14 the profit was 40%.

So,

When an article was sold for $14 the profit was 40%.

Then, the cost of the article will be $10.

If the article is sold for $16.

Then profit will be:

Profit = Selling price - cost price / cost price * 100

Substitute the values in it then

Profit = 16 - 10 / 10* 100

Profit = 6/ 10 *100

then

Profit become 60%.

So, The profit become 60%if it had been sold for $16.

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So, y = (1/2)(x + 8) is the equation of the linear function.

To write the equation of a linear function with a given x-intercept and y-intercept, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

In this case, we are given that the x-intercept is (-8, 0) and the y-intercept is (0, 4). We can use the coordinates of the x-intercept as (x1, y1) and the slope of the line as m to write the equation:

y - 0 = m(x - (-8))

y = m(x + 8)

We can then substitute the y-intercept into this equation to find the value of m:

4 = m(0 + 8)

4 = 8m

m = 1/2

Substituting the value of m back into the equation, we get:

y = (1/2)(x + 8)

This is the equation of the linear function.

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y - y1 = m(x - x1)

y - 0 = m(x - (-8))

y = m(x + 8)

We can then substitute the y-intercept into this equation to find the value of m:

4 = m(0 + 8)

4 = 8m

m = 1/2

Substituting the value of m back into the equation, we get:

y = (1/2)(x + 8)

\(x = - 1, - \frac{7}{3} \\ \)

Answer:

x = 1, x = 7/3

Step-by-step explanation:

y = (3x-7) (x-1)

Set the function equal to zero

0 = (3x-7) (x-1)

Using the zero product property

0 = 3x-7   0 = x-1

7 = 3x    1=x

7/3 =x   1=x

The zeros are

x = 1, x = 7/3

Answer:

Like terms

Step-by-step explanation:

Are the terms that contain same variables, same exponents of variables and same coefficients.

HOPE THIS HELPS

Twice a number decreased by four is less than 8 is x< 6.

2x - 4 < 8

2x < 8 + 4

2x < 12

x < 12 / 2

x < 6

Inequality refers to the unequal distribution of resources, opportunities, and outcomes among individuals or groups in a society. It can manifest in various forms, including economic inequality, social inequality, gender inequality, and racial inequality. Economic inequality refers to the unequal distribution of wealth and income, where some individuals or groups have access to more resources and opportunities than others.

Social inequality refers to the unequal distribution of social status and power, which can lead to marginalized groups being excluded from certain societal benefits. Gender and racial inequality refer to the unequal treatment and opportunities that certain genders or races face in society. Inequality can have negative consequences on individuals and society, including lower levels of social trust, reduced economic growth, and increased social tensions.

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Complete Question: -

Twice a number decreased by four is less than 8 is equation or inequality

Answer:

since traingleABC~ADE

AB/BD=BC/DE

9/15=3/X

9X=15×3

X=15×3/9=5

The value of x is 5 units.

We need to solve for x, from the given figure.

Two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.

Now, in ΔABC and ΔADE

∠B=∠D=90°

∠EAD=∠CAB (common angles)

So, from AA similarity ABC~ADE

Then, AB/AD=BC/DE

9/15=3/x

9X=15×3

X=15×3/9=5 units

Therefore, the value of x is 5 units.

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Answer:

The width and the length of the pool are 12 ft and 24 ft respectively.

Step-by-step explanation:

The length (L) of the rectangular swimming pool is twice its wide (W):

\( L_{1} = 2W_{1} \)

Also, the area of the walkway of 2 feet wide is 448:

\( W_{2} = 2 ft \)

\( A_{T} = W_{2}*L_{2} = 448 ft^{2} \)

Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).

The total area is related to the pool area and the walkway area as follows:

\( A_{T} = A_{1} + A_{w} \)    (1)          

The area of the pool is given by:

\( A_{1} = L_{1}*W_{1} \)        

\( A_{1} = (2W_{1})*W_{1} = 2W_{1}^{2} \)  (2)          

And the area of the walkway is:

\( A_{w} = 2(L_{2}*2 + W_{1}*2) = 4L_{2} + 4W_{1} \)    (3)          

Where the length of the bigger rectangle is related to the lower rectangle as follows:                  

\( L_{2} = 4 + L_{1} = 4 + 2W_{1} \)   (4)        

By entering equations (4), (3), and (2) into equation (1) we have:

\( A_{T} = A_{1} + A_{w} \)

\(A_{T} = 2W_{1}^{2} + 4L_{2} + 4W_{1}\)                

\(448 = 2W_{1}^{2} + 4(4 + 2W_{1}) + 4W_{1}\)            

\( 224 = W_{1}^{2} + 8 + 4W_{1} + 2W_{1} \)

\( 224 = W_{1}^{2} + 8 + 6W_{1} \)

By solving the above quadratic equation we have:

W₁ = 12 ft

Hence, the width of the pool is 12 feet, and the length is:

\( L_{1} = 2W_{1} = 2*12 ft = 24 ft \)

Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.

I hope it helps you!                                                                                          

Answer: 1/2x^3

Explanation: The volume of a space figure is basically the area multiplied to it’s height. In this case, the triangle’s area formula is 1/2x^2, and since the height is also represented by x, multiplying the two values will give you 1/2x^3.

The solution is, V =1/2*x³ cubic units., is the expression represents the volume of the prism, in cubic units.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

Given the information

A right triangular prism has the height is equal to the leg length of the base.

The right triangles have 2 sides with a length of x

=> the height  = x  

As we know, the formula used to determine the volume of a right triangular prism is:

V = The base area * the height

In this situation, we have

V = 1/2 * ( x * x ) * x

<=> V = 1/2*x³ cubic units  

Hence, The solution is, V =1/2*x³ cubic units., is the expression represents the volume of the prism, in cubic units.

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To find the velocity, v, of the tip of the minute hand of a clock, we first need to determine the circumference of the circle traced by the tip of the minute hand. Since the length of the minute hand is 11 cm, the radius of the circle is also 11 cm.

The circumference (C) of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, r = 11 cm, so:

C = 2π(11 cm) = 22π cm

Since the minute hand takes 60 minutes (1 hour) to complete one full rotation, the tip of the minute hand travels the entire circumference in 1 hour.

Now, we can calculate the velocity (v) by dividing the circumference by the time taken to travel that distance:

v = C / time
v = (22π cm) / (60 minutes)

To convert minutes to seconds (since velocity is typically measured in cm/s), we multiply by 60:

v = (22π cm) / (60 minutes × 60 seconds/minute)
v = (22π cm) / (3600 seconds)

So, the velocity of the tip of the minute hand is:

v = (11π/1800) cm/s

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