Experimentally Verify That The Base Angles Of An Isosceles Triangle Are Equal. (two figures of different measurements are necessary)​

Answer:

a

Step-by-step explanation:

given y varies directly as x² and inversely as z³ then the equation relating them is

y = \(\frac{kx^2}{z^3}\) ← k is the constant of variation

to find k use the condition y = 12 when x = 4 and z = 2 , then

12 = \(\frac{k(4)^2}{2^3}\) = \(\frac{16k}{8}\) ( multiply both sides by 8 )

96 = 16k ( divide both sides by 16 )

6 = k

y = \(\frac{6x^2}{z^3}\) ← equation of variation

when y = 1.728 and z = 5 , then

1.728 = \(\frac{6x^2}{5^3}\) = \(\frac{6x^2}{125}\) ( multiply both sides by 125 )

216 = 6x² ( divide both sides by 6 )

36 = x² ( take square root of both sides )

\(\sqrt{36}\) = x , that is

x = 6

here is your answer.hope it helps you

Answer:

2.  29°

3.  62°

4.  3

Step-by-step explanation:

Question 2

Interior angles of a triangle sum to 180°.

⇒ x + 57° + 94° = 180°

⇒ x + 151° = 180°

⇒ x + 151° - 151° = 180° - 151°

⇒ x = 29°

Question 3

Interior angles of a triangle sum to 180°.

⇒ x + 31° + 87° = 180°

⇒ x + 118° = 180°

⇒ x + 118° - 118° = 180° - 118°

⇒ x = 62°

Question 4

The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ (10x + 2)° = (2x + 1)° + 25°

⇒ 10x + 2 = 2x + 1 + 25

⇒ 10x + 2 = 2x + 26

⇒ 10x + 2 - 2x = 2x + 26 - 2x

⇒ 8x + 2 = 26

⇒ 8x + 2 - 2 = 26 - 2

⇒ 8x = 24

⇒ 8x ÷ 8 = 24 ÷ 8

⇒ x = 3

Answer: it would take him 10 hours to make 120 paper

The equation would not have real roots.

We know that we can be able to use the discriminant to be able to know the kind of roots that the quadratic equation that we are dealing with would have. Thus the discriminant has the major role of showing us the kind of roots that we have.

Using;

√b^2 - 4ac

√(-2)^2 - 4(-3) (-6)

√-68

Thus the equation would not have a real root. This is clear from the solution that we have in trying to obtain the roots of the equation as shown.

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Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

The answer is True. If two vertical angles are congruent, then two lines cut by a transversal will be parallel.

Vertical angles are angles that are opposite each other and share the same vertex. They are congruent angles, meaning that they have the same measure. When two angles are congruent, the sides of the angles are parallel. This means that the two lines cut by a transversal will also be parallel.

The formula for this is that if two angles are congruent, then the lines cut by a transversal are parallel. This is also known as the Angle-Angle-Angle (AAA) Postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. This means that the lines cut by a transversal are parallel.

In other words, if two angles of a triangle are congruent, then the two sides of the triangle that make those angles are parallel. This is because the two angles are congruent, meaning that they have the same measure. Therefore, if two vertical angles are congruent, then two lines cut by a transversal will be parallel.

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Answer:

English please?

Step-by-step explanation:

...........

The diameter of the sphere is 1.2 meters.

We know that for a sphere of radius R, the surface area is given by the formula:

S = 4πR²

Where π = 3.14

Here we know that the surface area is 4.5216m²

Then we can replace that and find the radius:

4.5216m² = 4*3.14*R²

Solving for R:

R = √(4.5216m²/(4*3.14))

R = 0.6m

Then the diameter, two times the radius, is:

D = 2*0.6m

D = 1.2 meters.

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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The probability that they are not all the same color is approximately 0.875. This can be calculated by taking the total number of possible combinations of three cards from a standard 52-card deck (52 x 51 x 50) and dividing it by the total number of possible outcomes (52 x 51 x 50 x 48 x 47 x 46).

1. Calculate total possible combinations of three cards from a standard 52-card deck:

52 x 51 x 50

= 13,200

2. Calculate total possible outcomes:

52 x 51 x 50 x 48 x 47 x 46

= 1,415,072

3. Divide total combinations by total outcomes:

13,200/1,415,072

= 0.0093 or 0.875 (rounded to the nearest thousandth)

The probability of not all three cards being the same color is 0.875. This can be calculated by dividing the total number of combinations of three cards from a standard 52-card deck by the total number of possible outcomes. This ratio is then rounded to the nearest thousandth for the final result.

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Answer:

A) 3 (2x - 5) B) y (y + 4)

Step-by-step explanation:

3 (2x) - 15

3 (2x) + 3 (- 5)

3 (2x - 5)

y × y + 4y

y × y + y × 4

y (y + 4)

The value of x from the given linear function is -48

Linear equations are equation that has a leading degree of 1. For instance the equation y = mx + b is a linear equation.

Given the equation below

-x/3 + 4 =20

We are to determine the value of x

Subtract 4 from both sides to have;

-x/3 + 4 - 4 = 20 - 4

-x/3 =20 - 4

-x/3 = 16

Multiply both sides by 3 to have

-x = 3(16)

-x = 48

x = -48

Hence the value of x from the given linear function is -48

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If A is an invertible matrix, then ATA is also invertible. This is because the determinant of ATA is the product of the determinants of AT and A, and since A is invertible, its determinant is not equal to zero. Therefore, the determinant of ATA is also not equal to zero, which means that ATA is invertible.

1. If A is invertible, then det(A) ≠ 0.
2. The determinant of ATA is equal to the product of the determinants of AT and A, i.e. det(ATA) = det(AT) * det(A).
3. Since A is invertible, det(A) ≠ 0, and det(AT) = det(A), we have det(ATA) = det(A) * det(A) ≠ 0.
4. Therefore, ATA is also invertible.

In conclusion, if A is an invertible matrix, then ATA is also invertible.

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The mean time that a certain model of light bulb will last is ​hours is 900 hours and the required percentage of bulbs is 2.5%

Here,

x is the time that a certain bulb will last.

(in houses.

μ=900 hours;

σ=1200 hours.

The standardized value for a light bulbs lasts 1100 hours, is,

z=x-μ/σ

z=1100-900/100=2

We know, for a bell-shaped distance, Approximately,

68% of the data falls within M-uσ;

By rule (ii), here,

95% of the data falls within (μ-2σ,u+2σ)

(900-2x100,900+2x100)

(700,1100)

So (100-95=5%) falls outside of (700,1100)

Since, the distance is symmetric (i.e. bell-shaped); we find the percentage of bulbs that is expected lo lase longer than 1100 hours, is

5/2% =2.5%

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Answer: false

Step-by-step explanation:

linear equations do not have x's with exponents

Answer:A

Step-by-step explanation:

Answer:

48 holes

Step-by-step explanation:

We know that in 3 minutes, a squirrel managed to bury 12 holes. Now, what if there were 12 minutes?

To solve this, we need to see the increase in minutes and implement the same thing to the holes.

So how do we get 3 minutes to 12 minutes? By multiplying 3 by 4, now do the same for the amount of holes the squirrel burrowed in 3 minutes.

3min * 4 = 12min

12 holes * 4 = 48 holes

Dividing the given ratio by 2, we get

8:6 = 8/2 : 6/2 = 4:3

Multiplying the given ratio by 2, we get

8:6 = 8*2 : 6*2 = 16:12

Then, the correct choices are A and C

Subway ridership data can reveal useful patterns through calculations with multiple operators, informing decisions about infrastructure and scheduling to better serve riders' needs.

The subway ridership dataset can reveal a wealth of information through calculations with multiple operators. One such calculation is the average increase or decrease in ridership during specific time intervals. By comparing ridership during peak and off-peak hours or weekdays versus weekends, it is possible to determine when the subway system is busiest and when it is underutilized.

Another useful calculation is the average percentage change in ridership between different stations or subway lines. This can help identify the most popular stations or lines and can inform decisions about where to allocate resources and infrastructure improvements.

Additionally, it is possible to explore the correlation between ridership and other factors such as weather, events, or holidays. By analyzing how ridership fluctuates in response to external factors, transportation planners can adjust schedules and routes to better serve the needs of riders.

Calculations with multiple operators can also reveal patterns in ridership based on time of year or day of the week. By analyzing the average change in ridership on different days or months, transportation planners can make informed decisions about scheduling and staffing.

Finally, regression analysis can be used to identify the overall trend in ridership over time. By examining long-term ridership trends, transportation planners can identify areas for improvement and plan for future infrastructure projects to better meet the needs of subway riders.

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The surface whose equation in cylindrical coordinates is r(cos(θ) - 4) = 0.

We are given that;

Equation=  x - 4r

Now,

Cylindrical coordinates are a way of describing the location of a point in three-dimensional space using a radius, an angle, and a height1.

The equation x - 4r means that the x-coordinate of any point on the surface is equal to four times its radial distance from the z-axis.

This implies that the surface is a vertical plane or half-plane that passes through the origin and is perpendicular to the yz-plane2.

To see this, we can convert the equation to Cartesian coordinates by using,

x = rcos(θ)

y = rsin(θ),

where θ is the angle measured from the positive x-axis:

x - 4r = 0

rcos(θ) - 4r = 0

r(cos(θ) - 4) = 0

This equation is satisfied when either r = 0 or cos(θ) - 4 = 0.

since cos(θ) can never be equal to 4. Therefore, the surface consists of all points that have x = 0 and any values of y and z. This is a vertical plane or half-plane that contains the z-axis and is parallel to the yz-plane

Therefore, by the given equation answer will be r(cos(θ) - 4) = 0.

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Answer:

h(x) = 3x - 6

Step-by-step explanation:

To find the inverse of a function, you have to switch the x- and y-values.

y = 1/3x + 2

x = 1/3y + 2

(x) - 2 = (1/3y + 2) - 2

x - 2 = 1/3y

(x - 2)(3) = (1/3y)(3)

3x - 6 = y

y = 3x - 6

Answer:

Number of oxen = 16

Number of chickens = 6

Step-by-step explanation:

Let,

x be the number of oxen

y be the number of chickens

According to given statement;

x+y = 22     Eqn 1

4x + 2y = 76     Eqn 2

Multiplying Eqn 1 by 4

4(x+y=22)

4x+4y=88    Eqn 3

Subtracting Eqn 2 from Eqn 3

(4x+4y)-(4x+2y)=88-76

4x+4y-4x-2y = 12

2y = 12

Dividing both sides by 2

\(\frac{2y}{2}=\frac{12}{2}\\y=6\)

Putting y = 6 in Eqn 1

x + 6 = 22

x = 22 - 6

x = 16

Hence,

Number of oxen = 16

Number of chickens = 6

Answer:1/2 (1 over 2)

Step-by-step explanation:

Answer:

get it from some else pllease

Step-by-step explanation:

type this in

The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept form that represents the diver's depth over time.

Answer:

about 45%

Step-by-step explanation:

it should be right

Answer:

C.H. Weaver M.D. updated 10/2020 What is the Carcinogenicity antigen (CEA)? CEA is an antigen (small protein) that is found on the surface of many types of cancer cells and high levels of CEA can be detected in the blood of some patients with cancer and the developing fetus.

Step-by-step explanation:

Answer:

Business Process Mapping

Business process mapping refers to activities involved in defining what a business entity does, who is responsible, to what standard a business process should be completed, and how the success of a business process can be determined.

Tomas and Ana weigh 145 kilograms combined. Together, Ana and Rodrigo weigh the same as Tomas. Rodrigo is 39 kilograms in weight. Tomas is 92 kilograms in weight.

A mathematical statement with two equated algebraic expressions is known as an algebraic equation. Due to the presence of polynomials on both sides of the equal sign, an algebraic equation is also referred to as a polynomial equation.

A linear algebraic equation has a polynomial of degree 1 in it. A linear equation's most common form is a1x1+a2x2+...+anxn = 0, where at least one coefficient is a number that is not zero. Linear programming problems can be represented and solved with these linear equations.

Let X and Y represent Anna's weight and Tomas's.

Now,

\(X+Y=145 ............equation 1\\Y+39=X ..............equation2\)

We obtain this by transferring the value of X from equation 2 to equation 1,

\(Y+39+Y=145\\2Y+39=145\\2Y=145-39\\2Y=106\\Y=\frac{106}{2}\\ Y=53\)

Now that we have entered the value of Y into equation 2, we get:

\(53+39=92\)

Therefore, Tomas weighs 92 kilograms.

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