Draw a triangle ABC if BC = 8 cm, ∠B = 60°and ∠C = 70°

The height of the cube calculated from volume 48x⁶y⁵  cubic units, length 6x³y and breadth 4x²y³ is 2xy units.

A cuboid is a six-sided solid known as a hexahedron. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid may become a cube by varying the lengths of the edges or the angles between the faces.

Features of a Cuboid :

A cube is a specific instance of a cuboid in which the length, width, and height are all equal. Accordingly, a cuboid is a cube.

The Volume of the cube is 48x⁶y⁵  cubic units

The length of the cube is 6x³y unit

Breadth of the cube is 4x²y³ unit

The height of the cube be H

We know,

volume(V)  = length(L) * breadth(B) * height(H)

⇒ height = V/L*B = (48x⁶y⁵)/(6x³y)*(4x²y³)

⇒ height = (48x⁶y⁵)/(24x⁵y⁴) = 2xy

The height of the cube calculated from volume 48x⁶y⁵  cubic units, length 6x³y and breadth 4x²y³ is 2xy units.

To learn more about Cubes refer to :

https://brainly.com/question/21442836

#SPJ1

Answer:

35

Step-by-step explanation:

To find the value of x that makes the median and mean equal, we first need to determine the median of the data set. In this case, the median is the middle value when the data is arranged in order. Since there are 7 values, the median is the fourth value, which is 11.

To find the mean of the data set, we add up all the values and divide by the number of values.

Mean = (6 + 8 + 3 + 11 + 5 + 13 + x) / 7

To find x, we need to make the median and mean equal.

11 = (6 + 8 + 3 + 11 + 5 + 13 + x) / 7

Multiply both sides by 7

77 = 6 + 8 + 3 + 11 + 5 + 13 + x

Subtracting the sum of the other values from both sides

77 - 42 = x

x = 35

So, the value of x that makes the median and mean equal is 35.

Answer:

The function H(x) that represents how much you would pay if you use the mall coupon followed by applying the store discount of 25% would be: H(x) = (x-5)*0.25. This function takes the original cost of the jeans (x) and subtracts $5 from it (x-5) to account for the coupon, and then multiplies the result by 0.25 to account for the store discount.

Answer:

20

Step-by-step explanation:

The hypotenuse is 24 + 6 of the biggest right triangle.

= 30

If it's a 45-45-90 triangle, you know you can use Pythagorean theorem to solve for missing sides.

But, the 45-45-90 triangle is a special triangle. The two legs are equal.

So, assume the two legs = x.

x^2 + x^2 = 30^2

2x^2 = 900

x^2 = 450

Square root both sides to get rid of the power of 2.

x = 21.2

A shortcut to this without pythagorean theorem is dividing the hypotenuse by rad 2. If you do 30 / (rad2) on your calculator, you'll get 21.2

Now that we know x = 21.2, we can find y for the other right triangle.

X is the hypotenuse, since it is opposite to the right angle.

x^2 = y^2 + 6^2

We know x to the power of 2 is 450 (highlighted)

450 = y^2 + 36

Subtract 36 on both sides

y^2 = 414

Square root both sides

y = 20.347

approx. 20

The slope-intercept format of the linear function in this problem is given as follows:

y = x - 2.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

Two points on the graph of the function are given as follows:

(-8, -10) and (12,10).

When x increases by 20, y increases by 20, hence the slope m is given as follows:

m = 20/20 = 1.

Hence:

y = x + b.

When x = 12, y = 10, hence the intercept b is given as follows:

10 = 12 + b

b = -2.

Hence the function is:

y = x - 2.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

Step-by-step explanation:

Lets assume the following binary numbers:

a=101,b=10

1)a-b=101-10=91

2)a*b=1010

3)a/ba= ie=b*a=1010

a/ba=101/1010=0.1

4)a-b=101-10=91

5)a/b=101/10=10.1

To find more calculations of binary numbers:

https://brainly.in/question/6153473

https://brainly.in/question/49551219

Solving the assumed pairs of binary numbers for the operations such as addition, subtraction , multiplication and divisions give 9,090 , 10,212,111 and 9.99

What is binary number?

A binary number system is one of the four types of number system. In computer applications, where binary numbers are represented by only two symbols or digits, i.e. 0 (zero) and 1(one). The binary numbers here are expressed in the base-2 numeral system. For example, (101)2 is a binary number

Lets assume the following binary numbers:

a=10101, b=1011

1) a-b=10101-1011=9,090

2) axb=10,212,111

3) a/b= 10101 / 1011 = 9.99

4) a + b = 10101 +1011 = 11,112

Learn more about binary numbers here :

https://brainly.com/question/8649831

#SPJ4

The complete question is :

calculate  a−b, a×b , and a÷b, a+b,  for the following pairs of binary numbers : for a=10101 and b=1011.

The random variable can only take on values greater than or equal to 2.83

A random variable is a variable that can take on different values depending on the outcome of a random process.

In this problem, we are given a probability density function (pdf) for a random variable and asked to find the value of the constant "a". The pdf, f(x), represents the probability of the random variable taking on a particular value, x.

Here we have the constant "a" in the equation

=> f(x)=12/X³, x>=a,

is the minimum value that the random variable can take on.

This means that the total probability of the random variable taking on any value between "a" and infinity must equal 1.

Now by using calculus, we can find the value of "a" by solving the equation

=> ∫(a,∞) (12/X³) = 1.

This equation tells us that the total probability of the random variable taking on any value greater than "a" must equal 1.

By solving for "a", we find that it is approximately equal to 2.83.

To knw more about probability here.

https://brainly.com/question/11234923

#SPJ4

the expected value of perfect information is not the same as the expected value with perfect information then it is a true statement

For a decision alternative the weighted average of the payoffs is known as the Expected Value.

For a chance node, it is the weighted average of the payoffs. The weights are the state-of-nature probabilities.  A weighted average is an average that multiplies each component by a factor representing its frequency or probability. The expected value is the return or cost you can expect on average, given many trials. The payoff of a game is the expected value of the game minus the cost.

The expected value is the return or cost you can expect on average, given many trials. A weighted average is an average that multiplies each component by a factor representing its frequency or probability. A weighted average is like a regular average except the data is often given to you in summary form.

To read more about Expected Value click here brainly.com/question/13945225

#SPJ4

On solving the provided question, we can say that the coordinates are (-2,0) and (0,2) slope is = m = 2-0/0+2= 1 and slope intercept equation is y-2 = x+2 => x-y = 0

In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.

the coordinates are (-2,0) and (0,2)

slope is = m = 2-0/0+2= 1

slope intercept equation is y-2 = x+2

x-y = 0

To know more about slope intercept visit:

https://brainly.com/question/19824331

#SPJ1

The height of the person is 6.27 feet.

you are having a staring contest with your cat. You are looking down at 37° while standing 7 feet away from it. Your cats eye line is 1 foot off the ground. Let's find your height.

Therefore, the situation forms a right angle triangle.

Using trigonometric ratio,

tan 37 = opposite / adjacent

tan 37° = x / 7

where

cross multiply

x = 7 tan 37°

x = 7 × 0.7535540501

x = 5.27487835072

Therefore,

height of the person = 1 + 5.27487835072

height of the person = 6.27 ft

learn more on right triangle here: https://brainly.com/question/14401895

#SPJ1

The equation for the plane through p0(−1,1,9) perpendicular to the following line vector is, ( x , y , z ) = ( 0 , 0 , 10)

A quantity that has both magnitude and direction but not position. Examples of such quantities are velocity and acceleration.

Given that,

The equation for the plane through p0(−1,1,9)

The xy-plane has a normal vector of 〈0, 0, 1〉, and any plane parallel to it will have the same normal vector.

Then the equation of the plane through (-1, 1, 9) that is parallel to the xy-plane has equation

〈x - (-1), y - 1, z - 9〉 • 〈0, 0, 1〉 = 0

x + 1 = 0

y - 1 = 0

z - 9 = 1

z = 1 + 9

z = 10

Therefore,

The equation for the plane through p0(−1,1,9) perpendicular to the following line vector is, ( x , y , z ) = ( 0 , 0 , 10)

To learn more about Vector visit :

brainly.com/question/16856030

#SPJ4

Answer:

Line segment DK is the median

Step-by-step explanation:

The median is the line segment that joins the vertex to the midpoint of the opposite side.

For given function h(x), Value of h(7) will be 59.

A function is described as a relationship between a set of inputs with one output each. A function is, to put it simply, a relationship between inputs in which each input is connected to exactly one output. Every function has a domain and a co-domain, or range.

In mathematics, various function types exist. Important types include the following:

When there is a mapping for a range for each domain between two sets, this is known as an injective function or one-to-one function.

Surjective functions or Onto functions: When more than one element is mapped from domain to range.

A polynomial function is a function made up of polynomials.

Functions that can invert other functions are known as inverse functions.

Now,

Given that  f(x) = -4x,

g(x)= x − 5 and

h(x) = −3ƒ(x − 2) + g(x − 3),

So, the function h(x) will be

h(x)=-3*(-4*(x-2))+x-3-5

h(x)=-3*-4x-3*8+x-8

h(x)=12x+x-32

h(x)=13x-32

h(7)=13*7-32

=91-32

h(7)=59

Hence,

         Value of h(7) will be 59.

To know more about functions visit the link

brainly.com/question/12431044

#SPJ1

Therefore, the state with the highest improvement in SAT score from 2011 to 2014 is Wyoming


EXPLANATION:

Step-1:
a.

Obtain the two SAT score distributions by using graph, using MINITAB.

For SAT 2011.

MINITAB procedure:

1: Choose Graph > Histogram.

2: Choose Simple, and then click OK.

3: In Graph variables, enter the corresponding column of SAT2011.

4: Click OK.

Step-2:
For SAT 2014

MINITAB procedure:

1: Choose Graph > Histogram.

2: Choose Simple, and then click OK.

3: In Graph variables, enter the corresponding column of SAT2014.

4: Click OK.

Conclusion:

The frequency of SAT score in 2014 is comparatively higher than that of SAT score of 2011.There is an increase in frequency of SAT score in between 1500 and 1600, from 2011 to 2014.However there is a sudden decrease in SAT score of 1600, from 2011 to 2014, and again rise of the score between 1700 to 1800.


step-3
b.

Summarization:

Obtain a graph for the difference in the SAT scores of 2014 and 2011, using MINITAB.

MINITAB procedure:

1: Choose Graph > Histogram.

2: Choose Simple, and then click OK.

3: In Graph variables, enter the corresponding column of SAT2014.

4: Click OK.

step-4:
c.

Interpretation:

In part (b), maximum of the times, there is no difference in SAT score from 2011 to 2014. However in some cases, there is an increase in SAT score in 2014, than in 2011.

In part (a), individual SAT score was found, and hence no conclusion was drawn on whether the SAT score increases or decreases form 2011 and 2014. The difference and the comparison of the score is observed in part (b) of the exercise.

d.
Observe the state with the highest improvement in SAT score from 2011 to 2014.

The state with the highest improvement in SAT score from 2011 to 2014 is Wyoming, with a difference of 65 scores from 2011 to 2014.

Therefore, the state with the highest improvement in SAT score from 2011 to 2014 is Wyoming.

To learn more about state scores                
https://brainly.com/question/28826981    
#SPJ4                    

while statistics is a valuable tool for understanding and making decisions based on data, it is important to remember that mathematics cannot evaluate non-numerical priorities.

Therefore, correct answer will be:- a. Non-numerical priorities

Statistics is a field of mathematics that deals with collecting, analyzing, and interpreting data. It involves the use of mathematical techniques and methods to extract insights and make decisions based on data.

Non-numerical priorities refer to values, beliefs, and preferences that cannot be quantified or measured using numbers. For example, considerations such as morality, ethics, cultural norms, personal opinions, and emotions cannot be expressed or evaluated using mathematical models or statistical techniques.

When making decisions, it is often necessary to take into account these non-numerical priorities, in addition to the quantitative data and analysis.

Here you can learn more about Statistics

https://brainly.com/question/29093686#

#SPJ11

Answer:

d.70

Step-by-step explanation:

Answer:

d.70. Angles of a triangle add up to 180°.Therefore 180-(50+60)=70.Exterior angle is equal to interior opposite angle

At the bicycle manufacturer, the average cost per bicycle is $77.

Now, According to the question:

"Information available from the question"

It costs $72 to make the first bicycle,

$83 to make the second,

and $77 to make the third.

To find the average cost per bicycle

We need to find the total cost of making all three bicycles and divide that by the number of bicycles.

The total cost is of the bicycles is given by -

$72 (cost of first bicycle) + $83 (cost of second bicycle) + $77 (cost of third bicycle) = $232

Now to find the average cost per bicycle, we will divide the total cost by the number of bicycles.

Hence, $232 ÷ 3 = $77

Therefore, the average cost per bicycle is $77.

Learn more about Average at:

https://brainly.com/question/15083265

#SPJ4

Answer: [tex]1.32*10^5[/tex]

The value of the fraction is given by the equation A = (x - 6) / (x + 2) (3x - 2)

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the equation will be

A = [ 1 / ( x + 2 ) ] - [ 2/ ( 3x - 2 ) ]

On simplifying the equation , we get

Finding the common denominator and LCM , we get

A = [ ( 3x - 2 ) - 2 ( x + 2 ) ] / (x + 2) (3x - 2)

On further simplification , we get

A = ( 3x - 2 - 2x - 4 ) / (x + 2) (3x - 2)

A = ( x - 6 ) / (x + 2) (3x - 2)

Hence , the fraction is A = ( x - 6 ) / (x + 2) (3x - 2)

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ1

There are 4 possible answers for each question, so there are 4^10 = 10,048 different ways to answer the quiz.

This is because for each question, there are 4 choices, and since there are 10 questions, the total number of choices is 444444444*4 = 4^10, which equals 10,048.

If Vector A = [15, 80 degrees] and Vector B = 12i - 16j, the magnitude of Vector A - Vector B is 32.17

We are given Vector A = ( 15, 80° )

It can be written as: Vector A = 15 cos 80° i + 15 sin 80° j

                   Vector A = 2.6 i + 14.77 j

Also, Vector B = 12 i - 16 j

Now, Vector A - Vector B = 2.6 i + 14.77 j - ( 12 i - 16 j )

                                          = -9.4 i + 30.77 j

We are asked to calculate the Magnitude of Vector A - Vector B = | A - B|

                                                        = ((-9.4)² + (30.77)²)^0.5

                                                        = (88.36 + 946.79)^0.5

                                                        = 32.17

Therefore, the magnitude of Vector A - Vector B is 32.17

To learn more about Magnitude of vectors here:

brainly.com/question/18441260

#SPJ4

Step-by-step explanation:

So what you should do is open up the brackets of the top row, and to open up brackets with addition inside simply multiply the outside number with the two inside numbers. This would result in:

First Column: 5(5+7) = 5*5 + 5*7 = 25 + 35

Second Column: 5(5+8) = 5*5 + 5*8 = 25 + 40

Third Column: 7(4+5) = 7*4 + 7*5 = 28 + 35

Fourth Column: 14(2+3) = 14*2 + 14*4 = 28 + 42

Fifth Column: 15(2+3) = 15*2 + 15*3 = 30 + 45

Answer: it depends how many points but if its a higher number of points like a 100 point test or so then it easily could

Step-by-step explanation:

A variety of healthful sizes are available for newborns. The average baby weighs between 5 pounds, 8 ounces (2,500 grammes) and 8 pounds, 13 ounces when they are born between 37 and 40 weeks (4,000 grams). It's usually ok for newborns who weigh more or less than the typical infant.

To Learn more About newborns Refer To:

https://brainly.com/question/3187806

#SPJ4

Answer:

[tex]d = \frac{29}{10} [/tex]

Step-by-step explanation:

[tex]d = 2 \frac{9}{10} [/tex]

d = 2.9

Answer:

zero

Step-by-step explanation:

the projection of vector RS onto vector PQ is zero

please find the attachment for detail

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6}[/tex] - [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{6}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{2}{12}[/tex]   ([tex]\frac{2}{2}[/tex] is another name for 1, so we are just multiplying [tex]\frac{1}{6}[/tex] x 1)

[tex]\frac{1}{6}[/tex] is equivalent to [tex]\frac{2}{12}[/tex]

[tex]\frac{2}{12}[/tex] - [tex]\frac{1}{12}[/tex] = [tex]\frac{1}{12}[/tex]

Answer: 1 km

Step-by-step explanation: For this question, you need to first convert the 20 minutes into hours. You know that an hour is 60 minutes, so dividing 20 by 60 leaves you with 1/3 of an hour. The question says that she can go 3 km/h in her wheelchair, so 3 x 1/3 = 1 km.

The side of the square will be 47 cm.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal.

Given that the side is x cm

each side of the square is increased by 4cm

Then side will be x+4 cm

The area is increased by 392cm².

x²+392=(x+4)²

x²+392=x²+16+8x

392-16=8x

376=8x

Divide both sides by 8

x=376/8

x=47

Hence, the side of the square will be 47 cm.

To learn more on Quadrilateral click:

https://brainly.com/question/13805601

#SPJ1

To find the length of the third side of the triangular birthday card, Sarah can use the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

In other words, 4 + 9 > x, so 4 + 9 > x is the inequality that is true.

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side. This means that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This theorem is useful for determining the possible lengths of the sides of a triangle, as well as for proving that a set of three lengths cannot form a triangle.

Learn more about the Triangle Inequality Theorem:

https://brainly.com/question/1163433

#SPJ4