Find the equation of the line.

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Answer:

the answer is B. y=x-(2w+z)

Step-by-step explanation:

The solution to the given expression is y = x - 2(W + z).

An expression is a mathematical expression formed by numbers and mathematical operations.There are many types of expressions like trigonometric expressions,Algebraic expressions, logarithmic expressions and many more.

According to the given question we have to solve for y for the given expression W = (x-y)/2 - z.

W = (x-y)/2 - z.

2W = x - y - 2z.

y = x - 2W - 2z.

y = x -2( W + z).

learn more about expressions here :

https://brainly.com/question/16584198

#SPJ2

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

To learn more about the integration visit:

brainly.com/question/30094386

#SPJ4

a) The coordinates of point A are given as follows: (-4,1).

b) The point B is plotted in red on the image given for this problem.

c) The coordinates of point C are given as follows: (-4,-2).

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

Then the coordinates of point C are given as follows:

Hence the ordered pair is given as follows:

(-4, -2).

More can be learned about ordered pairs at brainly.com/question/1528681

#SPJ1

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

Learn more about production

brainly.com/question/31859289

#SPJ11

The chance that the voter will endorse the mayor's work on one of these three occasions is 0.189.

Given that,

Considering that 70% of voters support the mayor's efforts, 30% of voters oppose those efforts.

Formula for the binomial distribution

\(nCx. p^{x}.(1-p)^{n-x}\)

We find the number of ways only 1 person approves nCx of the mayor multiplied by the probability 1 person approves P^x and 2 people disapprove (1-p)^{n-x}

Only one person approves of in how many ways is

=  nCx. p^{x}.(1-p)^{n-x}

= 3C1. 7^1.(1-7)^(3-1)

By solving we get,

= 0.189

Hence,  the probability that on exactly one of these three occasions the voter approves of the mayor's work is 0.189

To learn more about binomial distribution click here:

brainly.com/question/14565246

#SPJ4

Answer:

Rainfall amount on June 1 = ¾ inch

Step-by-step explanation:

Greatest daily rainfall in May = 1½

Rainfall amount in June 1 = ½ of 1½

Thus:

rainfall amount in June = ½ × 1½

= ½ × ³/2

= (1*3)/(2*2)

= ¾

Rainfall amount on June 1 = ¾ inch

Answer:16'3

Step-by-step explanation:

Enlarging the shape by scale factor 1/2 using P as the centre of enlargement

let's start from bottom left point is given.

We have to calculate position from P to that point as below

it is 2 units up and 11 units left

so as scale factor is 1/2

We have to shift that point to 1 unit up and 5.5 units left

Pink point corresponding to it is denoted below

We have to do the same process for all the five points to cover the total figure

Learn more about scale on

https://brainly.com/question/25722260

#SPJ1

Complete question

Enlarge the shape by scale factor 1/2 using P as the centre of enlargement

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

Answer:

4.0 x 10^-5

Step-by-step explanation:

Answer:

4*10^-5

Step-by-step explanation:

0.00004 has 4 zeros. Add 1 = 5

The power on 10 becomes negative (-5)

4 is a number between 1 and 9 inclusive.

4 * 10^-5

The probability that both marbles are red is 9/23.

To find the probability of both marbles being red, follow these steps:

1. Calculate the total number of marbles in the jar: 19 red + 25 blue = 44 marbles.

2. Determine the probability of picking a red marble on the first draw: 19 red marbles / 44 total marbles = 19/44.

3. After picking one red marble, there are 18 red marbles and 43 total marbles left. Calculate the probability of picking a red marble on the second draw: 18 red marbles / 43 total marbles = 18/43.

4. Multiply the probabilities from steps 2 and 3 to find the overall probability: (19/44) x (18/43) = 342/1892.
5. Simplify the fraction: 342/1892 = 9/23.

To know more about probability click on below link:

https://brainly.com/question/30034780#

#SPJ11

16.75

Hope i could help

The line /TV/ that we have been asked to find from the information is the question is obtained as 7.

The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.

We know that the missing angle U is obtained from;

180 - (58.3 + 80)

= 41.7°

Then;

8.9/Sin 58.3 = /TV//Sin 41.7

/TV/ = 8.9 Sin 41.7/Sin 58.3

/TV/ = 5.9/0.85

= 7

Learn more about sine rule:https://brainly.com/question/30339234

#SPJ1

Answer:

\(\dfrac{9}{6}=\dfrac{8}{v}\)

 Similar polygons are two polygons with same shape and different size.

In similar polygons  

To find the value f 'x'

          \(\dfrac{ED}{E'D'} = \dfrac{CD}{C'D'}\\\\\dfrac{9}{6}=\dfrac{8}{v}\)

Lines with angles 5 and 6 are parallel.

Given the information that ∠1 is congruent to ∠4, let us determine which lines are parallel.

Postulate: If a transversal intersects two parallel lines, then the corresponding angles are congruent. Since the corresponding angles are congruent, and the corresponding angles are the angles that are in the same position, i.e., on the same side of the transversal in relation to the two parallel lines, then this is the result:

∠1 is congruent to ∠4 (given)

∠1 is a corresponding angle to ∠5

∠4 is a corresponding angle to ∠6

Since ∠1 is congruent to ∠4, then ∠5 must be congruent to ∠6.

If lines are parallel, the corresponding angles are congruent. Therefore, the lines with angles 5 and 6 are parallel.

Therefore, the postulate that justifies the answer is "If a transversal intersects two parallel lines, then corresponding angles are congruent."

Conclusion: Lines with angles 5 and 6 are parallel.

To learn about congruence here:

https://brainly.com/question/29789999

#SPJ11

Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Maria's organ systems interact to help keep her safe Nervous system, Respiratory system, Endocrine System, Integumentary System and Muscular System.

The organ systems is the system of body which consist of different organs of the body. These organs help to work the body freely.

Maria is camping when she starts to smell smoke. She turns on her radio, to get the news that a forest fire is heading her way. The organs which help her to keep safe from fire are listed below:

Thus, Maria's organ systems interact to help keep her safe Nervous system, Respiratory system, Endocrine System, Integumentary System and Muscular System.

Learn more about the organ systems here:

https://brainly.com/question/545314

#SPJ1

The coefficient of the x^6 term is -1 (since the coefficient in front of x^6 is -1). Therefore, the leading coefficient of the polynomial is -1.

The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the polynomial is:

P(x) = 23 - x^6 + x^5 + 12x

The highest power of the variable x is 6, so the degree of the polynomial is 6.

The leading coefficient is the coefficient of the term with the highest power. In this case, the coefficient of the x^6 term is -1 (since the coefficient in front of x^6 is -1). Therefore, the leading coefficient of the polynomial is -1.

Learn more about coefficient  here

https://brainly.com/question/1594145

#SPJ11

Answer:

just add all of the numbers that are around the shape and you will have your answer!

Answer:

so far if u add everything it should equal to 126

Answer:

that means it traveled 50 miles in a one hour or 50 mph

Hope This Helps!!!

Answer:

ure def not in high school but elemantarty. Its 50 mph bc 20 divided by 4= 5

Step-by-step explanation:

Answer:

$90.00

Step-by-step explanation:

The equation would be 150-3(20), or 150-60, which equals $90.00

Answer:

she will have $90 after 20 days

Step-by-step explanation:

3 times 20 = 60

60-150=90

Answer:

72 beads

Step-by-step explanation:

Let's call the the inicial number of beads Aaron has 'A', Bessy has 'B', Carl has 'C' and Dawn has 'D'.

First, we have A + B + C + D = 200

Aaron gives 26 and receives 4, so Aaron has A' = A - 22

Bessy gives 36 and receives 26, so Bessy has B' = B - 10

Carl gives 32 and receives 36, so Carl has C' = C + 4

Dawn gives 4 and receives 32, so Dawn has D' = D + 28

And in the end we have A' = B' = C' = D'.

The total number of beads is still 200, so we have:

A' + B' + C' + D' = 200

A' + A' + A' + A' = 200

A' = 50

A - 22 = 50

A = 72 beads

Answer:

d≥24

Step-by-step explanation:

19≤−5+d

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

−5+d≥19

Add 5 to both sides.

d≥19+5

Add 19 and 5 to get 24.

d≥24

Answer:

c

Step-by-step explanation:

Answer:

left to right (-11, 1) up and down (3,-6)

answer:

A, D, E

step-by-step explanation:

A — 13 - 1 = 12

B — 15 - 7 = 8

C — 12 - 12 = 0

D — 28 - 16 = 12

E — 36 - 24 = 12

F — 29 - 25 = 4

Step-by-step explanation:

Here Is Your Answer........ please Make me as brainliest

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

Learn more about graph from

https://brainly.com/question/19040584

#SPJ11

These values are based on the t-distribution table and represent critical values for the given probabilities and degrees of freedom.

To answer this question, we need to use a t-table. The values we are looking for are the t-values associated with specific probabilities and degrees of freedom.

(a) t0.10, 10 = 1.372 (from the t-table, using 10 degrees of freedom and the probability of 0.10)

(b) t0.05, 10 = 1.812 (from the t-table, using 10 degrees of freedom and the probability of 0.05)

(c) t0.05, 21 = 1.721 (from the t-table, using 21 degrees of freedom and the probability of 0.05)

(d) t0.05, 60 = 1.671 (from the t-table, using 60 degrees of freedom and the probability of 0.05)

(e) t0.005, 60 = 2.660 (from the t-table, using 60 degrees of freedom and the probability of 0.005)

Note that we round all answers to three decimal places, as specified in the question. The values we have found are the t-values for the specified probabilities and degrees of freedom. These values can be used in calculations involving t-distributions.

Learn more about values here:

https://brainly.com/question/30145972

#SPJ11