What is the slope of the line? I NEED ASAPPP PLEASEEE!!! I’ll make you brainliest if correct

The measure of the angle opposite the longest side is approximately 56.32 degrees.The measure of the angle opposite the longest side of a triangle can be found using the Law of Cosines.

In this case, the sides of the triangle are given as 13 ft, 15 ft, and 11 ft. To find the measure of the angle opposite the longest side, we can apply the Law of Cosines to calculate the cosine of that angle. Then, we can use the inverse cosine function to find the actual measure of the angle.

Using the Law of Cosines, the formula is given as:

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

Where c is the longest side, a and b are the other two sides, and C is the angle opposite side c.

Substituting the given values, we have:

\(13^2 = 15^2 + 11^2 - 2 * 15 * 11 * cos(C)\)

169 = 225 + 121 - 330 * cos(C)

-177 = -330 * cos(C)

cos(C) = -177 / -330

cos(C) ≈ 0.5364

Using the inverse cosine function, we find:

C ≈ arccos(0.5364) ≈ 56.32 degrees

Therefore, the measure of the angle opposite the longest side is approximately 56.32 degrees.

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Answer:

The answer of the following questions is y=3x-19

Answer:

\(f(x)=\frac{1}{2}x+-6\) or y=1/2x+-6

Step-by-step explanation:

You can use any two points on a line to find slope. For example, I used:

(x1, y1) 2, -5

(x2, y2) 4, -4

To find slope, the following formula is needed:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Input our values:

\(m=\frac{(-4)-(-5)}{4-2}\) which means m=1/2

b is equal to y-intercept which is -6

The equation is:

\(y=\frac{1}{2}x+-6\)

to get the equation of any straight line, we simply need two points off of it, let's use the points from the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-4)}}} \implies \cfrac{-4 +8}{4 +4} \implies \cfrac{ 4 }{ 8 }\implies \cfrac{1}{2}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{(-4)}) \implies y +8= \cfrac{1}{2} (x +4) \\\\\\ y+8=\cfrac{1}{2}x+2\implies {\LARGE \begin{array}{llll} y=\cfrac{1}{2}x-6 \end{array}}\)

Answer:

14130 yd^3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

The diameter is 30 so the radius is d/2 = 30/2 = 15

V = 4/3 pi (15)^3

V = 4500 pi

Letting pi = 3.14

V = 14130 yd^3

Answer:

Last one

Step-by-step explanation:

The volume of the sphere is given by the relation:

V= \(\frac{4}{3}\) *π* 15³

V= 14137.166 yd³

wich is approximatively 14130yd³

Answer:

see explanation

Step-by-step explanation:

(a)

OC = OB ( both radii of the circle )

Thus Δ BOC is isosceles with congruent base angles.

∠ BOC = ∠ BCO = 50°

(b)

∠ ACB = 90° ( angle in a semicircle ), then

∠ ACO = 90° - 50° = 40°

OA = OC ( both radii of the circle )

Thus Δ ACO is isosceles with congruent base angles.

∠ BAC = ∠ ACO = 40°

Answer:

Step-by-step explanation:

400*8.25%= $33 tax

Step-by-step explanation:

\(a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2\)

Answer:

20x+4

Step-by-step explanation:

Answer:

660%

Step-by-step explanation:

6 x 100= 600%

3/5 = 0.6 × 100 = 60%

600% + 60% = 660%

The 2005th term of the sequence is 55.

Given information,

The first term of a sequence is 2005.

It states that each succeeding term is the sum of the cubes of the digits of the previous term, then the 2005th term is;

First term = 2005

Second term = 2³ + 0³ + 0³ + 5³ = 8 + 0 + 0 + 125 = 133

Third term = 1³ + 3³ + 3³ = 1 + 27 + 27 = 55

Fourth term = 5³ + 5³ = 125 + 125 = 250

Fifth term = 2³ + 5³ + 0³ = 133

As we see the number obtained repeating, the 2005th term will be 55.

Hence, the 2005th term of the sequence is 55.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Answer:

11

Step-by-step explanation:

5 x 2 = 10

10 + 6 = 16

16 - 5 = 11

there u go!

Answer:

its 7.8

Step-by-step explanation:

Answer:

127°

Step-by-step explanation:

In a quadrilateral, sum of four angles is 360°.

Consider the fourth angle x.

so,

55° + 73° + 105° + x = 360°

x = 360° - 233°

x = 127°

Answer:

C. 1:5

Step-by-step explanation:

Answer:

Plot each point, connect in the given order, add parallel line segments to those already there, take the coordinates of the intersection and record as answer.

a) (-1,3), (-1,2), (9,2)

b) (3,7), (5,7), (5,-3)

c) (-5,-5), (1,4), (4,2)

d) (-52,73), (96,73), (96,1483)

See attached

Answer: 0.66 (repeating)

Step-by-step explanation:

2/3 is equivalent to 4/6 and 2/3 is 0.66 repeating  

Step-by-step explanation:

shmskustj gkxyla5j xydky

Given the expression:

We proceed as follows:

*GCF = 5

Now, we rewrite:

If we factor "out" the GCF we would get (x+5) and the final factored expression is 5(x+5)

The solution to the system of equations is x = 3/4 and y = 11/4.

To solve the system of equations:

1) 3x + y = 5

2) -x + y = 2

We can use the method of substitution or elimination. Let's use the elimination method in this case:

Adding equation (1) and equation (2) eliminates the y variable:

(3x + y) + (-x + y) = 5 + 2

3x - x + y + y = 7

2x + 2y = 7

Now we have a new equation:

3) 2x + 2y = 7

We can solve equations (2) and (3) as a new system:

2x + 2y = 7

-x + y = 2

To eliminate the x variable, let's multiply equation (2) by 2:

-2x + 2y = 4

Now we have a new equation:

4) -2x + 2y = 4

Now we can subtract equation (4) from equation (3) to eliminate the y variable:

(2x + 2y) - (-2x + 2y) = 7 - 4

2x + 2y + 2x - 2y = 3

4x = 3

x = 3/4

Substituting the value of x back into equation (2):

-x + y = 2

-(3/4) + y = 2

y - 3/4 = 2

y = 2 + 3/4

y = 11/4

Therefore, the solution to the system of equations is:

x = 3/4

y = 11/4

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the value of F(9) is approximately 23.308.

To find the value of F(9) given that F(x) is an antiderivative of (ln x)^3/x and F(1) = 0, we can use the fundamental theorem of calculus.

According to the fundamental theorem of calculus, if F(x) is an antiderivative of a function f(x), then:

∫[a,b] f(x) dx = F(b) - F(a)

Since F(1) = 0, we can write:

∫[1,9] (ln x)^3/x dx = F(9) - F(1)

To evaluate the integral, we can make a substitution:

Let u = ln x, then du = (1/x) dx

The integral becomes:

∫[ln 1, ln 9] u^3 du

Integrating u^3 with respect to u:

[(1/4)u^4] | [ln 1, ln 9] = (1/4)(ln 9)^4 - (1/4)(ln 1)^4

Since ln 1 = 0, we have:

(1/4)(ln 9)^4 - (1/4)(ln 1)^4 = (1/4)(ln 9)^4

Therefore, F(9) - F(1) = (1/4)(ln 9)^4

Since F(1) = 0, we can conclude that F(9) = (1/4)(ln 9)^4.

Calculating this value:

F(9) = (1/4)(ln 9)^4 ≈ 23.308

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To find the perimeter of the trapezoid with the given vertices (4,6), (-2,6), (4, -1), and (1, -1), we need to calculate the sum of the lengths of its four sides.

To find the lengths of the sides, we can use the distance formula, which calculates the distance between two points in a coordinate plane. The distance formula is given by the equation: distance = sqrt((x2 - x1)^2 + (y2 - y1) ^2).

Using the distance formula, we can calculate the lengths of the sides:

Side AB: (4,6) to (-2,6)

distance = sqrt ((-2 - 4) ^2 + (6 - 6) ^2) = sqrt (36 + 0) = 6 units

Side BC: (-2,6) to (4, -1)

distance = sqrt ((4 - (-2)) ^2 + (-1 - 6) ^2) = sqrt (36 + 49) = sqrt (85) units

Side CD: (4, -1) to (1, -1)

distance CD = sqrt ((1 - 4) ^2 + (-1 - (-1)) ^2) = sqrt (9 + 0) = 3 units

Side DA: (1, -1) to (4,6)

distance _DA = sqrt ((4 - 1) ^2 + (6 - (-1)) ^2) = sqrt (9 + 49) = sqrt (58) units

Finally, to find the perimeter, we sum up the lengths of all four sides:

perimeter = distance _AB + distance _BC + distance _CD + distance _DA

perimeter = 6 + sqrt (85) + 3 + sqrt (58) units.

Therefore, the perimeter of the trapezoid with the given vertices is 6 + sqrt (85) + 3 + sqrt (58) units.

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Answer: \(x=\frac{-3}{k}\)

Step-by-step explanation:

To solve for x, you need to get x alone. In this problem, k is a constant.

\(kx=-3\)

\(x=\frac{-3}{k}\)

To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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Answer:

x = 16

Step-by-step explanation:

Answer:

3*4 = 12               volume = 96

length*width*height

4*3*X=96

12*x=96

1/12 * 12X= 96 * 1/12

x=96/12

x= 8

Answer:

A)-19,15,-9,-1,9

Step-by-step explanation:

that's the answer when I compute it

===================================================

Explanation:

If we plug in x = -2, then we get,

y = x^2 + 7x - 9

y = (-2)^2 + 7(-2) - 9

y = 4 - 14 - 9

y = -10 - 9

y = -19

So x = -2 leads to y = -19. The answer is between A and D.

---------

If you repeat those steps for x = -1, then you should get y = -15

Then x = 0 leads to y = -9

x = 1 leads to y = -1

Finally, x = 2 leads to y = 9

The outputs we get are: -19, -15, -9, -1, 9 which is choice A

Choice D is fairly close, but we won't have a second copy of -15, and  we don't have an output of -19.

Answer:

So, when talking about continuous functions, we're dealing with a function/graph that goes on and on to infinity. It never ends. In a case like this, we must define domain and range. Domain is all input values, while range goes the same but it's the output values. With this information, the domain and range on a continues graph would most likely be all real numbers due to the fact of the graph never ending, and that means the graph would have every input value thus making its domain/range infinite as well.

➲ Hope this helps.

Answer:

Every positive real number has TWO square roots; One is positive and one is negative. They are opposites of each other.

Step-by-step explanation:

So the number 20 has 2