Can anyone help me solve this problem?

Answers

Answer 1

Answer: its about finding the equation of a circle from its general form equation:
x^2 + y^2 + 8x - 4y - 61 = 0
x^2 + 8x + 16 + y^2 - 4y + 4 = 61 + 16 + 4
(x + 4)^2 + (y - 2)^2 = 81
therefore the center is C(-4, 2), and the radius is 9

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Anyone know the answer to this

Find the area of a rectangle measuring 25 feet long by 8 feet wide.

Answers

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The area of the rectangle is 200 square feet.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Length of the rectangle = 25 feet

Width = 8 feet

The area of the rectangle.

= length x width

= 25 x 8

= 200 square feet

Thus,

The area of the rectangle is 200 square feet.

Learn more about rectangles here:

brainly.com/question/15019502

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Hi there! Area=L*W. Where 25 feet is the length and 8 feet is the width. 25 feet*8 feet=200 feet. Therefore, your answer is 200 feet.

How many acute angles does an obtuse triangle have

Answers

Answer:

i think 2

Step-by-step explanation:

ya i think 2

a stuntman uses a 30 foot rope to swing 136 degrees between two platforms of equal height, grazing the ground in the middle of the swing. If the rope stays taut throughout the swing, how far above the ground was the stuntman at the beginning and the end of the swing?

Answers

By geometry and trigonometry the stuntman is 18.762 feet above the ground at the beginning and the end of the swing.

How to determine the initial and final height of the stuntman

After a careful reading of the statement, we prepared a geometricdiagram of the trajectory done by the stuntman between the two platforms. We must use trigonometricexpressions related to righttriangles to determine the initial/finalheight of the stuntman by means of this formula:

h = L · (1 - cos 0.5θ) (1)

Where:

L - Length of the rope, in feet.
θ - Swing angle, in degrees.
h - Initial/final height of the stuntman, in feet.

If we know that L = 30 ft and θ = 136°, then the initial/final height of the stuntman is:

h = (30 ft) · (1 - cos 68°)

h ≈ 18.762 ft

By geometry and trigonometry the stuntman is 18.762 feet above the ground at the beginning and the end of the swing. $\blacksquare$

To learn more on angles, we kindly invite to check this verified question: brainly.com/question/13954458

Alright, let's start with what we know in this equation. If the two platforms are of equal height, and the stuntman swings 136 degrees on his rope to reach them, we should be able to split up his swing into two equal triangles which both have the angle on top equal to 68 degrees.

Another thing we can learn from the question is the measurements of the other two angles in both of the triangles. If the 30 feet of rope is taut throughout their swing, we know that two of the triangle's sides are 30 ft, and if a triangle has two equal sides, the anlgles opposite of those sides should have the same measurements. To find those measurements, what we need to do is take the sum of the leftover angles, which is 180-68, or 112 degrees, and then divide that by two. So, the other angles in both triangles should both be 56 degrees.

Our next step should be to use the Law of Sines to find the measurement of the third side of the triangles. The law of Sines is the idea that sin(a)/A = sin(b)/B = sin(c)/C where the lowercase letters represent an angle and the uppercase letters represent the side opposing the angle of the same letter. Using this, we can take the top angle and the side we don't know and set it equal to one of the other sides. So our equation should look something like sin(68)/x = sin(56)/30. Next we need to cross multiply, giving us sin(68)*30 = sin(56)*x. Simplifying this should give us 27.815 = sin(56)*x, and when we divide both sides by sin(56) we should end up with a measurement of about 33.551 for the third side of our triangle.

Once we have that information, we need to set up another triangle that connects the ground to one of the platforms, with the hypotenuse being the last measurement of 33.551. This triangle should make a right angle of 90 degrees between the ground and the platform, meaning we only have to find two more angles. To do this, we can look at the angle where the ground connected with the rope in the first part. We found that this angle is 56 degrees, and this angle is complementary to the one that we are trying to find in our new triangle, which gives a good place to start. Complementary angles add up to 90 degrees, so to find the new angle's measurement, all we have to do is subtract 56 from 90, which gives us 44 degrees as the measurement of our new angle.

Next, we just have to find the last angle's measurement, which should be pretty easy once we know the other two angles. Because all the angles in a triangle add up to 180 degrees, we just have to subtract the two angles we know from 180! 180-44-90= 46, which should be our last angle's measurement. Now that we have the measurement of one side and all the angles, we can use the Law of Sines again to find out the height from the ground to one of the platforms. To do this, we need to set up a proportion again, and this time it should look something like this: sin(90)/33.551 = sin(46)/x. Cross multiplying will give us sin(90)*x = sin(46)*33.551, and before we simplify, it's good to remember that sin(90) is the same thing as 1, so that makes this last step a little easier. After remembering that, simplifying gives us x = 30.255, which should be the height from the ground to either one of the platforms.

Which statement holds true for absolute value functions?A) The absolute value determines the direction in which the graph opens.
B) The coefficient determines the line along which the graph is symmetrical.
C) The distance between the left and the right arm is based on the coordinates of the vertex.
D) The vertex coordinates and the absolute value determine the region of the graph on the plane.

Answers

The answer is C. ) The distance between the left and the right arm is based on the coordinates of the vertex.

Select the term that best describes the statement.If a polygon has eight sides, then it is an octagon.

conjunction
disjunction
negation
conditional

Answers

Answer:

The term that best describes the given statement is given by the last option i.e.

Conditional .

Step-by-step explanation:

We are given a statement:

If a polygon has eight sides, then it is an octagon.

We know that a conditional statement which is also known as the if-then statement is a statement where one part of it is a given condition or hypothesis and the second statement is a conclusion of the first statement.

It could also be symbolized as:

If p then q

where p is the hypothesis and q is the conclusion.

Hence, the term that describes this given statement is:

Conditional.

conditional
if the polygon has 6 sides then it is a hexagon, is an example of condition sencece so the correct answer is conditional.

What is $12^(2)$