Does a triangle with these side lengths exist 3, 8, 9

The measure of the angle that turns through 3/10 of the circle is 108 degrees.

An angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.

Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.

Since a full circle has 360 degrees, 3/10 of the circle can be represented as:

(3/10) x 360 degrees = 108 degrees

Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.

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The complete question is :

The angle turns through 3/10 of the circle. What is the measure of the angle?

Answer: green cube=48% chance, blue=36% chance, white =16% chance.

Step-by-step explanation: 1. You want to add up all the cubes. There are 25 cubes in total (9+4+12=25)

2. For the green cube, we know there are 12 cubes, so there would be a 12/25 chance which is a 48% chance

3. The same thing applies to the blue cube. There are 9 of them so it would be a 9/25 chance (36%)

4. There are 4 white cubes. 4/25 is a 16% chance.

The value of x° is 133°.

Given,

Pentagon with angles 107° , 120° , 90° , 90° , x° .

A pentagon is formed by combining three triangles and thus have total of interior angles to be 540°.

Now, to calculate the value of x:

Sum of all interior angles of pentagon = 540°

Put the values of all the angles given in the figure,

120° + 107° + 90° + 90° + x° = 540°

407° + x = 540°

x = 133°

Hence the missing angle is of 133° .

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According to the question the answer we will get after using the Pythagorean theorem is 2054.4 ft.

Pythagorean theorem is a mathematical theorem that states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. This theorem can be used to calculate the length of any side of a right triangle when the lengths of the other two sides are known.

Let dock A be point A (x1, y1) and dock B be point B (x2, y2). The distance between two points is given by the Pythagorean theorem:
d = sqrt((x2 - x1)² + (y2 - y1)²)
Therefore, d = sqrt((2589)^2 + (0)^2) = 2589
Now, we can use the Law of Cosines to find the distance from point A to the coral reef:
d = sqrt(2589² + d² - 2*2589*d*cos(56.47))
Solving for d, we get d = 2054.4 ft.

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Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

��,�Cn,x is the number of different combinations of x objects from a set of n elements, given by:

��,�=�!�!(�−�)!Cn,x=x!(n−x)!n!

For the rock songs, we have three from a set of eleven, hence:

�11,3=11!3!8!=165C11,3=3!8!11!=165

For the alternative songs, we have four from a set of five, hence:

�5,4=5!4!1!=5C5,4=4!1!5!=5

For the rap songs, we have three from a set of four, hence:

�4,3=4!3!1!=4C4,3=3!1!4!=4

Since the songs are independent, the total number of ways is given by:

�=165×5×4=3300T=165×5×4=3300

hope this helps you

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

47.17 feet is the height of the building.

We can use the Pythagorean theorem to solve the problem:

Let h be the height of the building.

Then we have a right triangle with legs 20 and h, and a hypotenuse 50.

Using the Pythagorean theorem, we have:

\(50^2 = 20^2 + h^2\)

Simplifying and solving for h, we get:

\(h = \sqrt{(50^2 - 20^2)\)

h ≈ 47.17 feet (rounded to two decimal places)

Therefore, the height of the building is approximately 47.17 feet.

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The sinusoidal function y = 3 · cos 4x represents the graph. (Correct choice: C)

In this question we find the graph of a trigonometric function. By direct inspection, we notice that function is continuous and bounded between - 3 and 3. Then, the trigonometric function is a sinusoidal function of the form:

y = A · cos (2π · x / T) + M

Where:

Now we proceed to determine the complete parameters of the sinusoidal function:

Amplitude

A = [3 - (- 3)] / 2

A = 3

Midpoint

M = [3 + (- 3)] / 2

M = 0

Period

T = π / 2

Finally, the trigonometric equation is the sinusoidal function y = 3 · cos 4x.

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The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

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Answer:

A

Step-by-step explanation:

Answer: 1st one it 22.3(1-0.014)^t second one is 24.5(1-.0075)^t

And it’s multiplication

Step-by-step explanation: alright so it’s lowering per year so if you evaluate every equation this makes the most sense because when you include “(1-)” it means percentage decrease and “(1+)” is percentage increase so this one make the most sense the other have some kind of increase rather than decrease

Answer:

x is -1/b yw

Step-by-step explanation:

Answer:10,9,8

Step-by-step explanation:trust me bro

Answer:

1grgdgfdgdfgdgdgdgdgdg

Step-by-step explanation:

The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²

What is meant by a perfect square trinomial?

By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.

Given expression y² - 13y + ?

Comparing with the general equation

a = 1

b = -13

For perfect square trinomial

b² = 4ac

(-13)² = 4 * 1 * c

169 = 4c

c = 169/4

So the expression becomes,

y² - 13y + 169/4 = (y - 13/2)²

Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.

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The loan amount at 9% interest is $48,000.

The loan amount at 12% interest is $17,000

The first step is to form a system of equations that can be used to determine the required values:

0.09a + 0.12b = $6,360 equation 1

a + b = $65,000 equation 2

Where:

a = amount of the loan at 9% interest

b = amount of the loan at 12% interest

Multiply equation 2 by 0.09

0.09a + 0.09b = 5850 equation 3

Subtract equation 3 from equation 2

0.03b = 510

Divide both sides of the equation by 0.03

b = 510 / 0.03

b = $17,000

Subtract 17,000 from 65,000

a = 65,000 - 17,000

a = $48,000

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Answer:

12x7y3

----------- = 6x4y3

 6x3y

Step-by-step explanation:

In dividing these numbers, you simply subtract 6x from 12x and subtract 3y from 7y because 6x and 3y are both in the denominator. 3 is left alone.

Answer:

I think it's -4/10 + (-7/10) = -11/5

number line

Step-by-step explanation:

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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She must have a score greater than the average of 75 on her final exam.

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

Let the required score be x

Mean = 79 + 69 + 61 + 91 + x/5

⇒ 79 + 69 + 61 + 91 + x/5 > 75

⇒ 300 + x/5 > 75

⇒ 300 + x > 375

⇒ x > 375 - 300

⇒ x > 75

This implies that she needed a score on her final exams that were higher than the average of 75.

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Answer:

94585285 is the population in 2030

Step-by-step explanation:

plug in the population in 2020 for y in the equation and plug in 10 for t

Using the Confidence-interval formula, we get that the confidence interval for p1-p2 = 1.962.

The term "confidence interval" is used to define the degree of uncertainty surrounding a sampling technique. The probability that the parameter's true value will fall inside a given range is provided by a confidence interval.

A confidence interval estimate of a population mean is often presented as follows: = Sample mean × Standard error of Mean

Given, n1 = 210 and n2 = 141

Sample proportions that have been given are p1 = 70 and p2 = 20

difference of the estimate, p1 - p2 = 50

Confidence interval for p1-p2:

(p1 - p2)-E ≤ (p1-p2) ≤ (p1-p2) + E

Where E = z × √ (p1q1/n1 + p2q2/n2)

Z is the critical value for confidence level.

Putting the values of n1, n2, p1 and p2 we get:

Critical z value, z = 1.962

Standard Error, \(SE_{p1 - p2}\) = NaN

Therefore, ≈95% Confidence Interval:(NaN, NaN).

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Answer:

90-24=76°

Step-by-step explanation:

____________________

Answer:

(x+15)(x+4)

Step-by-step explanation:

Answer:

6,100

Step-by-step explanation:

7.83n= 47,763

Now, we can solve for n by dividing both sides by 7.83 and simplifying.

n=6100

Answer:

Step-by-step explanation:

Let the speed of runner be r and speed of cyclist be c

We have following equations based on the given

Simplifying first equation

Comparing this with second equation

And finding the value of c

Answer:  6,6.         12,18.     18,6

Step-by-step explanation:

cause I got it right..

The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given graph has a triangle ABC.

The coordinates of A, B and C are A(2, 2), B(4, 6) and C(6, 2)

We have to find the coordinates of triangle ABC after a dilation with scale factor 3.

Dilation is the scaling of an object, where it gets bigger or smaller

Now the coordinates after dilation are A'(6,6)

B'(12, 18)

C'(18, 6)

Hence, the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

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