Find the slope of the line passing through the points (-4,9) and (-4,-6).

Answer:

width=16

length=38

Step-by-step explanation:

perimeter of a rectangle=2(length+width)

108/2=length+ width

54=length+ width

54-width=length

also:

length-6= 2×width

length=2width +6

now you can put the length we found, in the second equation:

54-width=2width+6

54-6=2width+width

48=3width

width=16

now do the exact same thing with one of the equations we created in the beginning.

either this:

54-width=length

or this:

length=2width +6

as the 1st one is simpler, I use that:

54-(16)=length

length=38

By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The value of the cosine of the angle of (a - b) will be 0.80.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

Suppose that sin(a) = 4/6 and cos(b) = 1/5.

Then the value of 'a' is given as,

sin(a) = 4/6

sin(a) = 2/3

a = 41.81°

Then the value of 'b' is given as,

cos(b) = 1/5

b = 78.46°

Then the value of the cosine of the angle of (a - b) will be given as,

⇒ cos(41.81° - 78.46°)

⇒ cos(-36.65°)

⇒ cos 36.65°

⇒ 0.80

The value of the cosine of the angle of (a - b) will be 0.80.

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Answer:

I have no clue what I could answer that question with other than (-6,-10)

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

\(\frac{5}{\frac{2}{3}}=7.5\)

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

Where are the following functions at?

Step-by-step explanation:

Answer:

what is the following

Step-by-step explanation:

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Using the vertically opposite angles theorem and corresponding angles theorem, we have proven that alternate exterior angles are congruent

From the question, we are to prove that alternate exterior angles are congruent.

In the given diagram, examples of alternate exterior angles are

∠1 and ∠8

∠2 and ∠7

Now, we will prove that ∠1 = ∠8

In the diagram, we can observe that

∠1 = ∠4 (Vertically opposite angles theorem)

and

∠4 = ∠8 (Corresponding angles theorem)

Then,

By the substitution property of equality

∠1 = ∠8

Hence, alternate exterior angles are congruent

Here is the complete and correct question:

Consider parallel lines cut by a transversal. Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

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Answer:

Step-by-step explanation:

Parallel lines q and q are cut by transversal r forming 4 angles at each intersection. At the intersection of lines r and q, clockwise from top left, the angles are: 1, 2, 4, 3. At the intersection of lines r and s, clockwise from top left, the angles are: 5, 6, 8, 7.

Use the diagram to complete the statements.

Angles 1 and 5 are

✔ congruent

because they are

✔ corresponding

angles.

Angles 4 and 6 are

✔ supplementary

because they are

✔ same-side interior

angles.

The maximum height of the golf ball on Mars is about 48.8 meters.

To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:

0 = -1.9t² + 26t

Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.

To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.

In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:

= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters

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Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

Answer:

meter equals 1.312 steps because 1 times 1.312 (the conversion factor) = 1.312

Answer:

54

Step-by-step explanation:

13.5/0.25=54

Answer:

Maybe its y= b-x

Step-by-step explanation:

Answer:

7a

Step-by-step explanation:

4a + 3a

(4 + 3)a

(7) a

Answer = 7a

Answer:

4a+3a is equivalent to 7a

Step-by-step explanation:

when simplifying you combine like terms. Since 3a and 4a are like terms and their are no exponents, all you have to do is add the coefficients together.

Answer:

I think 44 degrees

Step-by-step explanation:

73-29=44

Answer:

44

Step-by-step explanation:

The value of u, combined with the angle directly next to it (with the measurement of 29°), is a vertical angle to the opposite given angle (73°).

Note that, by the definition of vertical angles, angles directly next and opposite of each other have the same measurement. Set the equation:

u + 29 = 73

Isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Subtract 29 from both sides:

u + 29 (-29) = 73 (-29)

u = 73 - 29

u = 44

44° is your answer for u.

~

By answering the presented question, we may conclude that In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.

According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is often referred to as a rectangle with two nearby sides of equal length. A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are 90-degree or straight angles. Also, the diagonals of the square are evenly spaced and divide at a 90-degree angle. an adjacent rectangle with two equal sides. a quadrilateral with four equal-length sides and four right angles. A parallelogram with two adjacent, equal sides forming a right angle. A rhombus with straight sides.

To determine the answer, multiply the areas of the shaded squares by the overall area of the figure.

Assuming that both squares are the same size, we may combine the fractions using a common denominator:

2/12 + 2/15 = 5/60 + 4/60 = 9/60 = 3/20

As a result, the entire shaded area is 3/20 of the total area of the diagram.

We can't discover the exact area of the graphic because it's not presented. As a result, we can only represent the answer in fractions or decimals.

In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.

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Step-by-step explanation:

To solve the problem, we can use trigonometry. Let's call the distance the plane needs to be from the base of the tower "x". We can then use the tangent function to find the height of the tower that the plane needs to clear:

tan(25) = 200/x

To solve for x, we can cross-multiply:

x * tan(25) = 200

Then, we can divide both sides by tan(25):

x = 200 / tan(25)

Using a calculator, we get:

x ≈ 437.4 feet

Therefore, the plane needs to take off at a distance of at least 437.4 feet from the base of the tower in order to safely avoid it.

Answer:

The plane should take off 428.9 feet from the base of the tower (to the nearest tenth).

Step-by-step explanation:

The given scenario can be modelled as a right triangle, where the length of the runway is the base of the triangle and the height of the tower is the height of the triangle.

Given the take-off angle is 25° and the tower is 200 feet tall, we can use the tangent trigonometric ratio to find the horizontal distance from the base of the tower that the plane should take off in order to safely avoid the tower.

\(\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}\)

Given:

Substitute the values into the ratio and solve for x:

\(\implies \tan 25^{\circ}=\dfrac{200}{x}\)

\(\implies x=\dfrac{200}{\tan 25^{\circ}}\)

\(\implies x=428.90138...\)

\(\implies x=428.9\; \sf ft\;(nearest\;tenth)\)

Therefore, the plane should take off 428.9 feet from the base of the tower (to the nearest tenth).

Answer:

3.15

Explanation:

Answer:

it would be reduced to $117. dollars

Step-by-step explanation:

=)

Given:

a.) The new height is 100.05% of what it was the previous year.

b.) The average male's height was 54 inches in 1548.

For us to be able to determine the average height of a male in 2008, we will be using the geometric sequence formula:

Where,

An = The average height of a male in 2008

A1 = 54 inches

r = 100.05% = 100.05/100 = 1.0005

n = (2008 - 1548) + 1 = 460 + 1 = 461

We get,

Therefore, in 2008, the average height of a male will be 67.96 inches.

Answer:

-33

Step-by-step explanation:

this math equation looks relatively simple so i assume the actual equation is -2/3x - 8 = 14

add 8

-2/3x =22

multiply by -3/2

answer is -33

Answer:

The provided statement is False.

Step-by-step explanation:

The assumptions to perform a test of​ independence are:

It is not necessary that the parent population or the population from which the sample is collected is normally distributed.

Thus, the provided statement is False.

Answer 1:

D) 1/4

Answer 2:

B) 2/3

Step-by-step explanation:

For question 1, I did  2/8 is equivalent to 1/4. 1/ 1/4 = 1/4

For question 2, I did 2 of 2/3 = 2/3. So.. The answer would be 2/3

-kiniwih426

Answer:

1. A) 1/16

2. A) 6

Step-by-step explanation:

Take these answers with a grain of salt, this is kinda tricky.

So for number 1…

If 1/8 = 1/8

then, 0.5/8 = 1/16

The numerator has been divided by 2, so now the denominator has been multiplied by 2.

For number 2…

1/3 is less than 1, right?

so the answer has to be MORE than 2 (smaller the number is divided by, the bigger the final answer will be).

B and C are wrong

Take the denominator of the denominator (it’s 3) and multiply it by the numerator. And you get 6.

yeah this question is pretty useless, who thought of this anyways?

Answer:

− 7 2  ≤  x  ≤  3   or   x ≥ 5

Step-by-step explanation:

Basically isolate X,

(Sorry, I don't have time to explain deeply)

Hope I helped!! :)

Answer:

x is part of [-7/2,3]U[5,+infinite [

Points that are not on the same line are said to be noncollinear.

The set of points between A and C is a line segment.

From the question, we understand that A, B and C are not on the same line.

We do not know if the distance between AB is the same as the AC and BC, so the set of points cannot be a circle.

For the set of points to be an angle, it must pass through A, B and C.

Since it only passes through A and C, the set of points cannot be an angle.

A ray has only one endpoint, so the set of points cannot be a ray.

A line segment has two endpoints;

Since the points are between A and C, we can consider A and C as the endpoints of the line.

Hence, the set of points between A and C is a line segment.

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Since the points are proportional, it implies that the ratio of the y coordinate and x coordinate must be equal for each point.

The point k (18,12) has its ratio as

The ratio of option d gives

Since the ratio is equal then:

This implies that point K can be represented by (7.5,5)

The right option is D