Select ALL the side lengths that make a right triangle. *
3,6,7
1,2,4
3,4,5
5,9,10

Answer:

B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle

The hyperbolic equations can be represented as the second-order partial differential equations, which have two different characteristics in nature. These equations can be obtained by finding the solution for the Laplace equation with variable coefficients, which are used to describe the behavior of a certain physical system such as wave propagation, fluid flow, or heat transfer.

The second-order wave equation δu²/δt² = c² δ²u/δx² is a hyperbolic equation since it can be obtained by finding the solution of the Laplace equation with variable coefficients. The wave equation is a second-order partial differential equation that describes the behavior of waves. It has two different characteristics in nature, which are represented by two independent solutions.The first solution is a wave traveling to the right, while the second solution is a wave traveling to the left.

The equation is hyperbolic since the characteristics of the equation are hyperbolic curves that intersect at a point. This intersection point is known as the wavefront, which is the location where the wave is at its maximum amplitude.The wave equation has many applications in physics, engineering, and mathematics.

It is used to describe the behavior of electromagnetic waves, acoustic waves, seismic waves, and many other types of waves. The equation is also used in the study of fluid dynamics, heat transfer, and other fields of science and engineering. Overall, the second-order wave equation is a hyperbolic equation due to its characteristics, which are hyperbolic curves intersecting at a point.

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Answer:

Measure of angle B is 70 degrees

Step-by-step explanation:

If they are both supplementary, it means that add up to be 180 degrees

Thus;

5x + 25 + 3x + 19 = 180

8x + 44 = 180

8x = 136

x = 136/8

x = 17

Measure of angle B will be;

3(17) + 19

= 51 + 19 = 70 degrees

The index form 4 ^–1  as a fraction or whole number without exponents is 1/4

The index form of a number described as the number that is written as an exponential expression

Index forms are also described as a single number that is raised to another number or variable.

The index or exponent of an exponential expression shows how many times to multiply the base by itself in the expression.

From the information given, we have the index form as;

4^-1

This is represented as a fraction;

1/4^1

Note that any number that is raised to 1 is equal to the number

1/4

Hence, the value is 1/4

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45, and

2x - 5

make up a straight angle pair.

So, they add up to 180 degrees.

Thus, we can write:

45 + 2x - 5 = 180

Now, we simply solve for x. Shown below:

0.625 meters per second

A dependent system is comprised of two equations which have a relationship with each other. This relationship is illustrated in the fact that one equation has a reference to a value that is determined by the other equation.

When graphed together, the equations form a single curve. Each equation in the dependent system is dependent upon the other equation in the system. That is to say, if any of the values in the equations are changed, the whole system is affected and a new relationship between the equations will be established.

This relationship is used in a variety of different ways such as solving equations, simplifying equations and making predictions. A dependent system can also be used to find specific points on the graph as the equations contain information about the y-intercept or the x-intercept.

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Answer:

x (9/4,0) and y(0,-1)

Step-by-step explanation:

Answer:

1=-1(y intercept) 2= 9/4( x intercept)

Step-by-step explanation:

divide both sides by 18

y= 4/9x-1

y= mx+c where m= gradient of the line and c =y intercept

At y intercept x= 0 and vice versa

substitute y for 0 to get the value of x

The angles and length of the right triangle are as follows:

WX = 10√141 units

m∠X  = 30°

m∠V = 60°

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.

Trigonometric ratios can be used to find the side and angles of the right triangle as follows;

Therefore,

Using Pythagoras's theorem,

WX² = (20√47)² - (10√47)²

WX² = 400(47) - 100(47)

WX² = 18800 - 4700

WX = √14100

WX = 10√141

Let's find the angles

sin m∠X  = opposite / hypotenuse

sin m∠X  = 10√47 / 20√47

sin m∠X  = 1 / 2

m∠X  = sin⁻¹ 0.5

m∠X  = 30 degrees

Therefore,

m∠V = 180 - 90 - 30

m∠V = 60 degrees

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The triangle ABC is equal to triangle ADE by Angle-Angle-Side theorem.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

In triangle ABC and ADE -

It can be seen that ∠B = ∠E.

Also the line segment AB is equal to line segment AE.

AB = AE

The angles ∠BAC and ∠DAE are vertically opposite to each other.

So, they are also equal.

∠BAC = ∠DAE

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

Therefore, Δ ABC ≅ Δ ADE according to AAS theorem.

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The height of the bars in the remaining three categories should be determined by the frequency of the data points in those categories.

A histogram is a graphical representation of the distribution of numerical data. The bars of the histogram are drawn with their bases on the horizontal axis, and the height of each bar represents the frequency of the data points in that category.

To determine the height of the bars in the remaining three categories, the team should calculate the frequency of the data points in those categories and scale the height of the bars accordingly. The vertical axis should be labeled with a suitable scale that accommodates the maximum frequency observed in the data.

This will allow for an accurate representation of the distribution of the data points.

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the sample space for counting the number of free throws made by the basketball player in the game consists of all the possible combinations of successful and unsuccessful shots, ranging from 0 to 8 makes.

the sample space for the basketball player's free throws is considered.

to determine the sample space, we need to identify all the possible outcomes for the number of successful free throws made by the player. In this case, each free throw can result in either a make or a miss, giving two possibilities for each attempt. With a total of 8 free throws, the sample space will consist of all the combinations of makes and misses, ranging from 0 makes to 8 makes.

For example, the sample space could include outcomes such as {0 makes, 8 misses}, {1 make, 7 misses}, {2 makes, 6 misses}, and so on, up to {8 makes, 0 misses}.

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Answer:

\(4w^{2} -49\)

Step-by-step explanation:

Expand  (2w+7)(2w−7)

2w(2w-7)+7(2w-7)

2w(2w)+2w*-7+7(2w-7)

2w(2w)+2w*-7+7(2w)+7*-7

Answer:

14

.......⋋✿ ⁰ o ⁰ ✿⋌

Answer:

n = 14

Step-by-step explanation:

ΔABC was dilated by a scale factor of 2.

Answer:

530.93 units squared

Step-by-step explanation:

The formula for the area of a circle is \(A=\pi r^{2}\). Based on this, we must plug in the given values.

The diameter is always doubled the value of the radius. Therefore, in order to find the value of the radius (r), divide it by 2. This would give us a radius of 13 units; now we have all the values to plug into the formula

Answer:

530.93 units^2

Step-by-step explanation:

The area of a circle can be found using the following formula.

\(a=\pi r^2\)

First, we must find the radius. The radius is always half of the diameter, or

r=d/2

We know that the diameter is 26 units. Therefore, we can substitute 26 in for d.

r=26/2

r=13

The radius is 13 units.

Now we know the radius. Substitute 13 in for r in the area formula.

\(a=\pi r^2\)

r=13

\(a=\pi 13^2\)

Evaluate the exponent. 13^2 is equal to 13*13, which is equal to 169.

\(a=\pi *169\)

Multiply pi and 169.

a=530.929158457

Round to the nearest hundredth. The 9 in the thousandth place indicates the 2 in the hundredth place should be rounded up to a 3.

a=530.93

Add appropriate units. IN this case, the units are units^2.

a=530.93 units^2

The area of the circle is about 530.93 units^2.

i. The local maxima and minima are 3 and 2

ii. The absolute maximum of f(x,y) over the region is 3/2  at (1/√2, 1/√2), and the absolute minimum is -1/2, which is attained at (-1/√2, -1/√2).

iii.  There are no other critical points inside the disk, so we cannot tell whether they are extreme or saddle points.

i. To find the maxima and minima of the function f(x,y) = x² + y² + xy over the region {(x,y): x² + y² ≤ 1}, we first find the critical points by setting the partial derivatives equal to zero:

f(x) = 2x + y = 0

fy = 2y + x = 0

Solving these equations simultaneously gives the critical point (-1/3, 2/3). We now need to check if this is a local maximum, local minimum or a saddle point. To do this, we use the second partial derivative test.

f(xx) = 2, f(xy) = 1, fyy = 2

The determinant of the Hessian matrix is Δ = f(xx)f(yy_ - (fxy)² = 2(2) - (1)² = 3, which is positive, and f(xx) = 2, which is positive. Therefore, the critical point is a local minimum.

ii. To find the absolute maximum and minimum, we need to consider the boundary of the region. Let g(x,y) = x² + y² be the equation of the circle with radius 1 centered at the origin. We can parameterize this curve as x = cos(t) and y = sin(t), where 0 ≤ t ≤ 2π.

Substituting this into the function f(x,y), we get:

h(t) = f(cos(t), sin(t)) = cos²(t) + sin²(t) + cos(t)sin(t) = 1 + (1/2)sin(2t)

We now find the critical points of h(t) by setting dh/dt = 0:

dh/dt = cos(2t) = 0

This gives t = π/4 and 5π/4.

Substituting these values into h(t), we get:

h(π/4) = 3/2

h(5π/4) = -1/2

Therefore, the absolute maximum of f(x,y) over the region is 3/2, which is attained at (1/√2, 1/√2), and the absolute minimum is -1/2, which is attained at (-1/√2, -1/√2).

iii. There are no other critical points inside the disk, so we cannot tell whether they are extreme or saddle points.

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Answer:

explain  15/256

The value of variable x is,

⇒ x = 4

We have to given that;

A trapezoid is shown in figure.

And, Opposite equal sides are, (3x - 3) and (x + 5).

Now, WE can formulate;

⇒ 3x - 3 = x + 5

Solve for x,

⇒ 3x - 3 = x + 5

Add 3 both side,

⇒ 3x = x + 5 + 3

⇒ 3x = x + 8

Subtract x both side,

⇒ 3x - x = 8

⇒ 2x = 8

Divide by 2;

⇒ x = 8/ 2

⇒ x = 4

Thus, The value of variable x is,

⇒ x = 4

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2 plus 2 divided by 96 x 3 is equal to 2.00694444.

What is the order of operations?

The order of operations is a set of rules that dictate the order in which mathematical operations should be performed when evaluating an expression. These rules are also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

The order of operations dictates that we first perform the division before the addition and multiplication. So we have:

2 + (2 ÷ (96 x 3))

Next, we perform the multiplication:

2 + (2 ÷ 288)

Finally, we perform the division:

2 + 0.00694444

This gives us the answer:

2.00694444

Therefore, 2 plus 2 divided by 96 x 3 is approximately equal to 2.00694444.

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Answer:

D & B

Step-by-step explanation:

\(f(x)=(x-2)^{2} -3\)

The vertex: (2, -3)

\(f(2)=(2-2)^{2} -3=0-3=-3\)

Hope this helps

Answer:

1) D. f(x) = (x - 2)² - 3

2) B. (2, -3)

Step-by-step explanation:

hope this helps!

The time traveler explained that time travel was possible by utilizing a time machine that allowed him to manipulate the fabric of space-time.

"The Time Machine" by H.G. Wells, the Time Traveler explains that time travel is possible by using a device he invented called the Time Machine. He describes the concept of the fourth dimension, suggesting that time is like a spatial dimension that can be traversed.
The Time Traveller's experimental verification involves him actually using the Time Machine to travel into the future. He shares his experiences of traveling to the year 802,701 AD, where he encounters two different species: the Eloi and the Morlocks. He provides vivid descriptions of the future society and the physical changes that have occurred over time.
By sharing his personal experiences and observations from his journey, the Time Traveller provides experimental evidence for the possibility of time travel.

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A test statistic is a numerical value that is used to evaluate a hypothesis in a statistical test. It is usually calculated by comparing the sample data to the hypothesized population parameters using a specific formula.

The most common test statistic is the t-statistic for t-tests and the

F-statistic for ANOVA tests.

For example, in a t-test for comparing the means of two groups, the test statistic is calculated as the difference between the sample means divided by the standard error of the difference.

In an ANOVA, the test statistic is calculated as the ratio of the variance between the groups to the variance within the groups. The test statistic is then compared to a critical value from a reference distribution (such as the t-distribution or the F-distribution) to determine the p-value and make a conclusion about the null hypothesis.

The exact formula to calculate test statistic depend on the test and the data you have.

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Answer:

4. 120

5. 20

6. 55

Step-by-step explanation:

All straight lines have a degree of 180, so the angle measures all have to add up to 180 degrees.

Answer:

4) 120°

5) 20°

6) 55°

Step-by-step explanation:

4) 180°-60°=120°

5) 180°-160°=20°

6) 90°+35 = 125°

   180°-125°=55°

In given expressions no one is equivalent to the expression -3 [4 × -0.50]

Given,

The expression : -3 [4 × -0.50]

We have to find the expression equivalent to the above expression from the given options.

Solve the expression:

-3 [4 × -0.50] = -3 × -2 = 6

Now we can solve the expressions given in the options:

1) -12 × -1.50 = 18

Not equal to the given expression

2) -12 × 1.50 = -18

Not equal to the given expression

3) -12 × -2.50 = 30

Not equal to the given expression

4) -12 × -3.50 = 42

Not equal to the given expression

So, we can conclude that, there is no equivalent expression in the options for the expression -3 [4 × -0.50]

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Answer:

Go right 4 blocks. Then go down 3 blocks.

Step-by-step explanation:

From Brianna's house at (1,6), move 4 blocks to the right and you will be at (5,6). Next, move 3 blocks down and you will be at Jordan's house at (5,3).

Answer:

Answer is 15 I hope this help

The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.

In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.

By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.

Therefore, a left-tailed hypothesis test is appropriate in this scenario.

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