Designing simple androids, integrating their degrees of freedom, and testing them out are all aspects of what industry?

a.
robotics industry

b.
additive manufacturing industry

c.
healthcare industry

d.
engineering design industry

The hypotenuse of a right triangle has length 12 units and One leg has length 8 units, so the other leg is of length 9 units approximately.

Hypotenuse is the biggest side of a right angled triangle. Other two sides of the triangle are either Base or Height.

By the Pythagoras Theorem for a right angled triangle,

(Base)² + (Height)² = (Hypotenuse)²

Given that the hypotenuse of a right triangle has length of 12 units.

And one leg length of 8 units let base = 8 units.

We have to then find the length of height.

Using Pythagoras Theorem we get,

(Base)² + (Height)² = (Hypotenuse)²

(Height)² = (Hypotenuse)² - (Base)²

(Height)² = (12)² - (8)²

(Height)² = 144 - 64

(Height)² = 80

Height = 9, [square rooting both sides and since length cannot be negative so do not take the negative value of square root]

Hence the other leg is 9 units.

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Answer:

(2, 2 )

Step-by-step explanation:

Given the 2 equations

3x + 6y = 18 → (1)

- 3x + 4y = 2 → (2)

Adding the 2 equations term by term will eliminate the x- term, that is

0 + 10y = 20

10y = 20 ( divide both sides by 10 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

Substituting into (1)

3x + 6(2) = 18

3x + 12 = 18 ( subtract 12 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

solution is (2, 2 )

Answer:

There is only 1 solution where x is greater than 3 that is on the line and that is where the line Crosse where x is 4.

Step-by-step explanation:

p(x>3) = p(x= 5) - p(x= 3)

= (Area of ∆ from x= 0 to x= 5)- (Area of ∆ from x= 0 to x= 3)

=[ 1/2•(5-0)•0.4] -[1/2•(3-0)• 0.4)]

= 1/2•0.4(5-3)

p(x>3) = 0.4

Answer:

It would help the rabbit by blending in with the environment and avoiding predators.

Step-by-step explanation:

I got the question right ap3x

Answer:

Step-by-step explanation:

It would help the rabbit by blending in with the environment and avoiding predators.

Answer:

12×3=36

Step-by-step explanation:

hope ththis helped :))

Answer:

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

y = 3x - 5

Step-by-step explanation:

Parallel lines have the same slope.

\(y_{1} = -2\\x_{1} = 1\\m = 3\)

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

y + 2 = 3x - 3

y = 3x - 5

Check that y = 3x - 5 includes the point (1, -2):

-2 = 3(1) - 5

-2 = 3 - 5

-2 = -2

Answer:

the answer is 152.40 and yeah

By selling 15 toys marry made $152.40

The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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Answer:

56.1 mph

Step-by-step explanation:

you just divide 448.8/8

Answer:

56.1

Step-by-step explanation:

You divide 448.8 and 8 to find the constant of it

Answer:

14.

Step-by-step explanation:

14 1/2 / 1 = 14 1/2

answer 14.

Answer:

14 books

Step-by-step explanation:

At most 14 because it is 14 1/2 inches long

Answer:

it is J

Step-by-step explanation:

(a) 27 outcomes in the sample space are : (1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3), (2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3), (3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) All outcomes in the event that all three members go to the same station are : (1,1,1), (2,2,2), (3,3,3)

(a) The 27 outcomes in the sample space can be represented as ordered triples, where each element corresponds to the station that each family member is assigned to. The possible values for each element are 1, 2, and 3. Therefore, the sample space consists of the following 27 outcomes:

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

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

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

(b) The outcomes in the event that all three members go to the same station can be found by examining the 27 outcomes in the sample space and selecting those outcomes where all three elements are the same. Therefore, the outcomes in the event that all three members go to the same station are:

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

In these outcomes, all three family members are assigned to the same station. There are three such outcomes, since each family member can be assigned to any one of the three stations.

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Answer:

B

Step-by-step explanation: Good luck on your test

Answer:

Step-by-step explanation:

1.) Find the slope

2.) Use the  slope-point form for a line

\(y-y_0=m(x-x_0)\)

Pick any point (-4,-4) or (4,6) into \(y_0 and x_0\\\)

but your equation is y= 5/4x+1

Answer:

Step-by-step explanation:

Required relationship:

The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

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The Value of x is approximately -1.841 (rounded to 3 decimal places).

To solve for x in the equation x = (1 - bc - b)/(da) - 1, we substitute the given values for a, b, c, and d.

Given: a = 7, b = 6, c = 8, d = 9

Substituting these values into the equation, we have:

x = (1 - 6*8 - 6)/(7*9) - 1

Simplifying further, we have:

x = (1 - 48 - 6)/(63) - 1

x = (-53)/63 - 1

To find the value of x, we perform the division and subtraction:

x = -0.841 - 1

x = -1.841

Therefore, the value of x is approximately -1.841 (rounded to 3 decimal places).

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Answer:

In ∆ABC, ∆CBA, ∆ACB

^B = 90°

Answer:

1x=864,

2y=3

Step-by-step explanation:

y=6,x=?

if x is directly proportional to y^3 &if (when x=32, y is=2) we can understand that x=4y^3

1,x=4y^3

x=4(6^3)

x=4(216)

x=864

2,x=4y^3

108=4y^3

108/4=4y^3/4

27=y^3

√27=y

y=3

i think it is easy to understand,but if the answers are not clear you can ask me &i hope it helps you

Answer:

62.2 m

Step-by-step explanation:

From 148m away at ground level, the angel of elevation to the tower base is 18 degrees. Imagining this as a right angled triangle, if considering the angle of 18 degrees, 148m is the adjacent and the opposite is the height of the hill:

tanA=opposite/adjacent

tan18=opposite/148

opposite = 57.8357059295m

From 148m away at ground level, the angel of elevation to the tower top is 34 degrees. Imagining this as a right angled triangle, if considering the angle of 34 degrees, 148m is the adjacent and the opposite is the height of the hill+the tower:

tanA=opposite/adjacent

tan34=opposite/148

opposite = 120.062515998m

Knowing the height of the hill and tower is 120.062515998m and the height of the hill is 57.8357059295m, we can say the height of the tower is the difference:

120.062515998 - 57.8357059295 = 62.2268100685 m

Answer:

2

Step-by-step explanation:

Answer:

You can represent "the opposite of Shana's temperature is equal to Pearl's" as follows:

(-20 C) + (-x) = x

Where x represents Pearl's temperature.

Alternatively, you can also write it as:

20 C - x = x

Both of these equations are equivalent and mean the same thing: the opposite of Shana's temperature is equal to Pearl's temperature.

Step-by-step explanation:

20 degrees Celsius

The temperature in Pennsylvania is the opposite of the temperature in Canada, therefore -20⁰ Celsius in Canada would then be 20⁰ Celsius in Pennsylvania.

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

R(3, 16) and S(7, −6)

The midpoint is

\(M = ( \frac{3 + 7}{2} \: , \: \frac{16 - 6}{2} ) \\ = ( \frac{10}{2} \: , \: \frac{10}{2} )\)

We have the final answer as

Hope this helps you

The best findings that support the hypothesis that NPY is necessary for the generation of the preovulatory LH surge include studies that show NPY acting on neurons in the hypothalamus, which is a critical brain region involved in regulating reproductive functions.

Additionally, experiments in animals have shown that disrupting NPY signaling can prevent the preovulatory LH surge and ovulation. Finally, clinical studies in women have found that alterations in NPY levels or activity can lead to menstrual irregularities and infertility, further supporting the role of NPY in ovulation.
To best support the hypothesis that NPY (neuropeptide Y) is necessary for the generation of the preovulatory LH (luteinizing hormone) surge, which triggers ovulation, scientists would need to find evidence such as:

1. A positive correlation between NPY levels and LH surge timing, indicating that higher NPY levels are associated with the initiation of the LH surge.
2. Experimental manipulation of NPY levels leading to changes in LH surge and ovulation, showing a cause-and-effect relationship between NPY and the hormonal event.
3. Identification of NPY receptors on the gonadotropin-releasing hormone (GnRH) neurons, which are responsible for releasing LH, suggesting a direct mechanism of action.

These findings would provide strong evidence for the proposed role of NPY in the generation of the preovulatory LH surge and ovulation.

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The value of angle E and angle F are both 22.8°

Circle theorem includes the concept of tangents, sectors, angles, the chord of a circle and proofs. A circle is the locus of all points in a plane which are equidistant from a fixed point.

The theorem that states that the angle at the center is twice the angle at the circumference is applied in this scenario.

angle P = angle of arc DG = 45.6°

therefore angle E = 1/2 angle of arc DG

= 1/2 × 45.6

= 22.8°

angle E = angle F = 22.8° . This because angle in the same segment are equal.

therefore angle E = angle F = 22.8°

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Answer:

80

Step-by-step explanation:

Remark

Every triangle has a measure of 180 degrees.

Equation

Let the base angle = x

x + x + 2x-20 = 180

Solution

4x - 20 = 180

4x = 180 + 20

4x = 200

x = 50

Conclusion

Base angle 1 = 50

Base angle 2 = 50

Vertex angle = 2*50 - 20

Vertex angle = 100 - 20

Vertex angle = 80

following:

The book "How to Solve It" by George Polya is a classic work in the field of mathematics education. It lays out a four-step method for solving mathematical problems, which includes understanding the problem, devising a plan, carrying out the plan, and reflecting on the solution obtained.

The purpose of the book is to help students and problem solvers develop a systematic and effective approach to solving problems in mathematics and other areas of life. The book is widely used and respected in mathematics education, and its ideas have been applied to many other fields, such as engineering, computer science, and business.

The four steps outlined in the book provide a structure for approaching any problem in a systematic and organized manner, which can be applied to a wide variety of problems in different fields. This structure helps to ensure that all relevant information is considered and that the problem is solved in the most efficient and effective way possible.

Additionally, the step of reflecting on the solution obtained helps to promote a deeper understanding of the problem and the solution, which is important for developing problem-solving skills over time. As a result of its simplicity, clarity, and effectiveness, "How to Solve It" continues to be a popular and highly-regarded book in the field of mathematics education and beyond.

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To solve for x, we just need to compute the inverse of A (if it exists) and multiply it by b. If A is invertible, then this method will give us the unique solution to the linear system Ax=b.

To solve a linear system of the form Ax=b using inverse matrices, we can first find the inverse of matrix A (if it exists) and then multiply both sides of the equation by \(A^-1\), giving us:

\(A^-1Ax = A^-1b\)

Since\(A^-1A\) is the identity matrix I, we can simplify the left-hand side to just x:

\(x = A^-1b\)

However, it's worth noting that computing the inverse of a matrix can be computationally expensive, particularly for large matrices.

So, while using inverse matrices can be a useful technique for solving small systems, it may not be the most efficient approach for larger systems. In those cases, other techniques such as Gaussian elimination or LU decomposition may be more appropriate.

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The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).

Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:

FV = PV(1 + YTM)n,

where,

FV is the future value,

PV is the present value,

YTM is the yield to maturity, and

n is the number of periods.

Plugging in the given values, we get:

$7,500 = $1,500(1 + YTM)5

Simplifying this equation, we get:

5 = (1 + YTM)5/1,500

Multiplying both sides by 1,500 and taking the fifth root, we get:

1 + YTM = (5/1,500)1/5

Adding -1 to both sides, we get:

YTM = (5/1,500)1/5 - 1

Calculating this value, we get:

YTM = 0.3714 or 37.14%

Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

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