Hi I would really like to know the answer to this question thanks!!!!

Let's focus on the figure on the left.

For any quadrilateral, the angles always add up to 360. We'll use this to find x.

105+80+75+x = 360

260+x = 360

x = 360-260

x = 100

Now notice that the pair of adjacent angles 105 and 80 add up to 105+80 = 185, which is not 180. Similarly, the adjacent angles 80 and 75 add to 155 which is not 180.

This is enough to show that we don't have any parallel lines here. If we did have parallel lines, then adjacent angles would add to 180.

Since none of the lines are parallel, this figure is not a trapezoid

Any trapezoid has exactly one pair of parallel lines.

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

Move onto the figure on the right

We'll follow the same ideas mentioned in the last section.

x+110+92+88 = 360

x+290 = 360

x = 360-290

x = 70

Note how the adjacent angles 70 and 110 add to 70+110 = 180. This shows they are supplementary angles and that we do have a set of parallel lines (top and bottom). In contrast, the angles 110 and 92 do not add to 180, so that helps us see we only have one pair of parallel lines.

Therefore, the figure is a trapezoid

Answer:

the answer should be -4

Step-by-step explanation:

if you use y2-y1 over x2-x1 this is the answer you get

Given:

The statement is "two sevenths times four sixths".

To find:

The value of the product.

Solution:

Two sevenths times four sixths can be written as:

\(\dfrac{2}{7}\times \dfrac{4}{6}\)

It can be rewritten as:

\(\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{2\times 4}{7\times 6}\)

\(\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{8}{42}\)

The answer of given expression is eight forty seconds.

Therefore, the correct option is B.

Answer:

its B

Step-by-step explanation:

the second option because

2x4=8

7x6=42

The solution to the given IVP is:

y(x) = \((-8/5)x^(^-^1^) + (3/5)x^3 - (1/3)ln(x) + 43/15\)

To solve the given IVP, we first find the complementary function by assuming that the solution is of the form y = yh, where yh is the homogeneous solution.

The homogeneous solution is given by yh = \(C1x^(-1) + C2x^3,\) where C1 and C2 are constants to be determined.

To find the constants C1 and C2, we need to use the initial conditions:

y(1) = -1 implies C1 + C2 = -1

y'(1) = 5 implies -C1 + 3C2 = 5

Solving the above equations simultaneously, we get C1 = -8/5 and C2 = 3/5.

Therefore, the homogeneous solution is \(yh = -8/5x^(-1) + 3/5x^3\).

Next, we find the particular solution y_p by assuming that it has the form y_p = A ln(x).

We find the first and second derivatives of y_p:

y'_p = A/x

y"_p = \(-A/x^2\)

Substituting y_p and its derivatives into the differential equation, we get:

\(x^2y"_p - xy'_p - 3y_p = ln(x)\)

\(x^2(-A/x^2) - x(A/x) - 3A ln(x) = ln(x)\)

-2A - 3A ln(x) = ln(x)

Solving for A, we get A = -1/3.

Therefore, the particular solution is y_p = -(1/3) ln(x).

The general solution is \(y = yh + y_p = (-8/5)x^(-1) + (3/5)x^3 - (1/3)ln(x)\).

Using the initial condition y(1) = -1, we get:

-8/5 + 3/5 - (1/3)ln(1) = -1

-1.6 = -1

This is true for any value of x, including x = 1.

Using the initial condition y'(1) = 5, we get:

8/5 + 9 - 1/3 = 5

Simplifying, we get:

43/15 = 5

Therefore, the solution to the given IVP is:

\(y(x) = (-8/5)x^(-1) + (3/5)x^3 - (1/3)ln(x) + 43/15.\)

Learn more about definite integral

brainly.com/question/29974649

#SPJ11

If the triangles are similar, the option that must be true is option B. StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction

When the sides and angles of two or more shapes or figures correspond accordingly, they are considered alike or said to be similar.

The triangle RXY  is enclosed by the triangle RST as seen in the provided illustration. Due to the similarity of the two triangles, it is possible to compare the lengths of their sides using necessary ratios.

Hence: RY/RS = RX/RT = XY/TS

Learn more about triangles  from

https://brainly.com/question/20306097

#SPJ1

The inverse of the given matrix is not defined.

To find the inverse of a matrix, we need to check if the matrix is invertible or non-singular. For a square matrix to be invertible, its determinant must be non-zero.

Let's calculate the determinant of the given matrix:

Det(Matrix) = (1 * 0 * 2) + (2 * 2 * 1) + (1 * 3 * 8) - (2 * 0 * 1) - (1 * 2 * 8) - (1 * 3 * 0)

= 0 + 4 + 24 - 0 - 16 - 0

= 12

Since the determinant of the given matrix is non-zero (12 ≠ 0), it implies that the matrix is invertible.

Next, we can proceed to find the inverse of the matrix by using the formula:

Matrix^(-1) = (1/Det(Matrix)) * Adjoint(Matrix)

However, before calculating the adjoint of the matrix, let's check for any possible errors in the matrix elements. The elements of the matrix you provided are not consistent, and it seems there might be a mistake. The matrix you provided (121, 302, 182) does not conform to the standard 3x3 matrix format.

In conclusion, based on the given matrix, the inverse is not defined. Please make sure to provide a properly formatted 3x3 matrix to find its inverse.

Know more about the inverse of a matrix click here:

https://brainly.com/question/28097317

#SPJ11

Answer:

Probability of getting number 10  = 0

Step-by-step explanation:

Given;

Total sides of cube die = 6

Find:

Probability of getting number 10

Computation:

Total number of cube = 1, 2, 3, 4, 5, 6

Favorable outcome for 10 = 0

Probability of an event = Favorable outcome / Number of outcomes

Probability of getting number 10 = 0 / 6

Probability of getting number 10  = 0

Answer:20

Step-by-step explanation:

Answer:

21 ft²

Step-by-step explanation:

3*5 + 2*3 = 21

1) Since the equation is y= -3x+3, let's fill in that table by plugging into them the given values for x

x | y= -3x +3 | y

-1 | y=-3(-1)+3 | 6

0 | | 3

1 | | 0

2| | -3

2) Let's plot that equation for points (-1,6) (0,3), (1,0) and (2,-3)

Answer:

a = 3.2

Step-by-step explanation:

Distribute 3/4:

3/4(8a+12) = 28.2

(3/4×8a) + (3/4×12) = 28.2

6a + 9 = 28.2

Subtract 9 from both sides:

6a = 19.2

Divide both sides by 6:

a = 3.2

We would reject the null hypothesis in favor of the alternative hypothesis.

The null hypothesis (H0) is that the average number of classes per quarter for students is 2 or less. The alternative hypothesis (Ha) is that the average number of classes per quarter for students is greater than 2. We can express this as:

H0: μ ≤ 2 (mean number of classes per quarter)

Ha: μ > 2

Where μ represents the population mean. This hypothesis is based on the instructor's belief that students take more than 2 classes on average.

The significance level (alpha) is given as 0.01, which means that if the p-value of the test is less than 0.01, we would reject the null hypothesis in favor of the alternative hypothesis.

Learn more about hypothesis

brainly.com/question/29106378

#SPJ11

Fixed costs are expenses that remain constant regardless of the level of production. The calculation of average fixed costs (AFC) is obtained by dividing the total fixed cost by the number of units produced.

AFC provides the amount per unit that the company will spend on fixed costs to produce a given quantity of output. Therefore, to calculate the average fixed cost at the Shanghai factory if the 2020 output level (= 35,000 cars annually) were maintained for ten years, we will first calculate the total fixed costs.

The formula for calculating average fixed cost (AFC) is:

Average Fixed Cost (AFC) = Total Fixed Cost / Quantity ProducedTotal Fixed Cost is obtained by multiplying the fixed cost per unit with the total number of units produced.

Total Fixed Cost (TFC) = Fixed Cost per Unit × Number of Units ProducedThe problem does not provide any information about the fixed cost per unit, which is why it cannot be calculated.

To know more about average fixed cost visit:

https://brainly.in/question/32176325

#SPJ11

To calculate the average fixed cost at the Shanghai factory, divide the total fixed costs by the output level. For a given output level of 35,000 cars annually maintained for 10 years, the average fixed cost would be $285.71 per car.

To calculate the average fixed cost at the Shanghai factory, we need to divide the total fixed costs by the output level. Since the question specifies that the output level is 35,000 cars annually and we want to maintain this level for 10 years, we can calculate the average fixed cost as follows:

Learn more about average fixed cost here:

https://brainly.com/question/33052345

#SPJ2

Using a trigonometric relation we can see that:

θ =  57.99°

On the image we can see a right triangle where we know the values of the two catheti.

We want to find the top angle in that right triangle, and with the known information, we could use the trigonometric relation:

tan(θ) = (opposite cathetus)/(adjacent cathetus).

Where:

Opposite cathetus = 8

Adjacent cathetus = 5

Replacing that we will get:

tan(θ) = 8/5

Using the inverse tangent function:

θ = Atan(8/5) = 57.99°

That is the measure of the angle.

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1

The circulation of the field f = x i y j around the curve r(t) = [cos(t)] i [sin(t)] j is    2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

Integration is described as blending matters or human beings collectively that have been formerly separated. An example of integration is while the schools have been desegregated and there have been now not separate public faculties for African individuals.

The method of finding integrals is referred to as integration. at the side of differentiation, integration is a fundamental, crucial operation of calculus, and serves as a device to solve troubles in mathematics and physics regarding the location of an arbitrary form, the length of a curve, and the extent of a solid, among others.

r (t) = cost i + sin t j = dr( sin ti + cos t)dt

F =  -xi -yj = -costi - sin tj

Flux = F .dr = \(\int\limit2n^0_b {-costi - sin tj} \, dx\)j)-( sin ti + cos t)dt

           \(\int\limit2n^0_b {-costi - sin tj} \, dx\) -( sin ti + cos t)dt

     2π ∫₀ (cos t sin t - sin t cos tj)dt = 0

Learn more about integration here:- https://brainly.com/question/26505535

#SPJ4

Answer:

3h=39

Step-by-step explanation:

Answer:

A = 40 in²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂)

where h is the height between the bases b₁ and b₂

here h = 8 , b₁ = 4 , b₂ = 6 , then

A = \(\frac{1}{2}\) × 8 × (4 + 6)

   = 4 × 10

   = 40 in²

The value of the standard error of the estimate is 244.052 rounded to three decimal places.

Given that:x i= 2691320y i = 91772624

We are to determine the value of the standard error of the estimate.

The standard error of the estimate is given by: SE =√((Σ(y-ŷ)²)/n-2)

where; Σ(y-ŷ)² = Sum of squared differences between predicted and actual y values.

ŷ= Predicted value of y.

n = Sample size.

Substituting the given values into the above formula:

SE = √((Σ(y-ŷ)²)/n-2)SE = √(((91772624- 64.51639(2691320 + 0.01093(91772624)))²)/(2))SE = 244.052

Know more about standard error here:

https://brainly.com/question/1191244

#SPJ11

Answer:

\(( -2 ,\:-6) \)

Step-by-step explanation:

Given points are: \( S=(-7,-8)=(x_1, \:y_1) \:\&\:T= (3,-4)=(x_2, \:y_2) \)

Midpoint of segment ST

\(M=( \frac{x_1+x_2}{2} ,\:\frac{y_1+y_2}{2}) \)

\(M=( \frac{-7+3}{2} ,\:\frac{-8+(-4)}{2}) \)

\(M=( \frac{-7+3}{2} ,\:\frac{-8-4}{2}) \)

\(M=( \frac{-4}{2} ,\:\frac{-12}{2}) \)

\(M=( -2 ,\:-6) \)

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

-5 hours

Step-by-step explanation:

Answer:

34 degrees

Step-by-step explanation:

a) The vectors a and b are collinear when compa b=compb a. This means that they have the same direction, so that they're pointing in the same direction or opposite directions. In other words, if the angle between them is 0° or 180°, then they are collinear.

b) The vectors a and b are orthogonal when proja b=proj b a. This means that they are perpendicular to each other, so that the angle between them is 90°. Furthermore, it means that the projection of one vector onto the other is equal to zero.

This is because the projection of a vector onto itself is equal to the magnitude of the vector, while the projection of a vector onto a vector orthogonal to it is equal to zero.

know more about vectors here

https://brainly.com/question/29740341#

#SPJ11

Sample Size N = 752.

What is Population Proportion?

A population proportion is the percentage of a population that falls into a specific category. Population proportions are estimated using confidence intervals.

Given,

A margin of error of 0.03

Z = 1.645 at 90% confidence level

We use P=0.5 because there is no prior information about the population proportion.

To find minimum number of subjects n

= (Z*/M.E.)2 x P (1-P)

Solving by entering the given values into a formula: -

n = (1.645/0.03)2 × 0.5(1-0.5)

n = 3006.70 X 0.25

n= 751.67

Sample Size N = 752

To learn more about Population Proportion visit:

brainly.com/question/29912751

#SPJ4

The answer  is that the quadratic function is the one that models the situation.

The function that models the situation is a quadratic function in the form of ax² + bx + c.

In this scenario, the engineer is designing a flashlight with a parabolic mirror. A parabolic mirror has a shape that can be represented by a quadratic function. Quadratic functions are typically in the form of f(x) = ax² + bx + c, where a, b, and c are constants.

The explanation for this is that a parabolic mirror reflects light in a way that the reflected rays converge at the focus, which is the vertex of the parabola. This means that the distance between the reflector and the light source should be the same as the distance between the reflector and the focus. The shape of the parabolic mirror is defined by a quadratic function, which is y = ax²

The variable y represents the height of the mirror at a given point, x represents the distance from the vertex, and a is a constant that determines the steepness of the curve. Therefore, the engineer can use this equation to design the parabolic mirror that will maximize the output of the flashlight.
.

To know more about quadratic function visit:

brainly.com/question/18958913

#SPJ11

Answer:

Is located in quadrant III

Answer:

Step-by-step explanation:

So according to me the solution can be determine with some assumptions. So, the simplified expression for the given question is:

-0.708 cos²(x) sin(x) cos(z) tan(x).

Trigonometry is a branch of mathematics that deals with the study of relationships and properties of angles, triangles, and trigonometric functions. It focuses on the measurement and calculation of angles, the relationships between the sides and angles of triangles, and the study of the periodic functions called trigonometric functions.

In trigonometry, the three primary functions that are commonly used are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan respectively. These functions are used to relate the angles of a right triangle to the lengths of its sides.

Before we proceed with solving the given expression, let's simplify the trigonometric identities involved in it:

sin(360 - x) = sin(360)cos(x) - cos(360)sin(x) = cos(x)

cos(90 - 2x) = sin(2x) = 2sin(x)cos(x)

tan(-x) = -tan(x) [since tangent is an odd function

Now, substituting the above values in the given expression, we get:

1.22 cos(x) cos 17' (1-cos²x) 73° [2sin(x)cos(x)] [cos(360+z)] [-tan(x)]

Simplifying further, we get:

1.22 cos(x) cos 17' (1-cos²x) sin(x) cos(360+z) (-tan(x))

Now, cos(360+z) = cos(z) [since cosine is a periodic function with a period of 360°]

Substituting the value of cos(17') as 0.9998 (approximately), and cos(73°) as 0.2763 (approximately), we get:

1.22 cos(x) (0.9998) (1-cos²x) sin(x) cos(z) (-tan(x)) (0.2763) (2.1355)

Simplifying further, we get:

-0.708 cos²(x) sin(x) cos(z) tan(x)

Therefore, the simplified expression for the given question is -0.708 cos²(x) sin(x) cos(z) tan(x).

To know more about Trigonometry, visit:

https://brainly.com/question/24349828

#SPJ1

Answer:

The answer is 7.

Step-by-step explanation:

3*3=9

9-2

= 7 :)

Answer: Average speed is given by the formula:

speed = distance ÷ time

Given that Darlene rode her bike 8 2/5 miles in 3/4 of an hour. We need to convert the mixed number 8 2/5 to an improper fraction.

8 2/5 = (8 x 5 + 2) / 5 = 42/5

So, Darlene rode her bike a distance of 42/5 miles in a time of 3/4 hours.

Substitute speed = distance ÷ time

speed = (42/5) ÷ (3/4)

To divide by a fraction, we invert and multiply:

speed = (42/5) x (4/3)

speed = 56/5

So, Darlene's average speed was 56/5 miles per hour (mph).

To simplify this fraction, we can divide both the numerator and denominator by 1:

speed = 11/1