What is the cosine ratio for angle A ?

A. 6/10
B. 6/8
C. 6/10
D. 8/10

The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.

True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.

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Answer:

2

Step-by-step explanation:

The expression that should be represented is ( 6x²+15 ) and the value of the coefficient is 6.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that

Let us assume the number should be x so, from the above information, the expression should be

= ( 6x²+15 ).

Therefore expression that should be represented is ( 6x²+15 ) and the value of the coefficient is 6.

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Answer:

(0,-3)

Step-by-step explanation:

Apex

The product of expression is 24a² - 18ab.

A polynomial is a sort of algebraic expression in which all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers. A polynomial is made up of constants and variables, however we cannot divide polynomials by variables.

We have,

3a( 8a - 6b)

Now, multiplying the expression as

= 3a(8a) - 3a(6b)

= 24a² - 18ab

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Answer:

B = 40

C = 65

Step-by-step explanation:

(a) Angle B = Angle C = 65 degree.

(b) Angle x and Angle y is 70 degree .

Given,

In the question:

9. Write a sequence of rigid motion to take figure ABC  to figure DEF.

Now According to the question:

Take a figure ABC to figure DEF

So, CB = FE

      BA = ED

Angle B = Angle E

10.(a) To find the unknown measure:

In triangle ABC

Angle A = 90 degree

To find the Angle B and C

Let the angle B and C be x

We know that :

Sum of angle triangle is 180 degree

50 + x + x = 180

50 + 2x = 180

2x = 180 - 50

2x = 130

x = 65°

Hence, Angle B = Angle C = 65 degree.

10. (b)  Given,

Angle ABC = Angle BAC

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Substitute Angle ABC = y and  Angle BAC  = x into Angle ABC = Angle BAC .

Angle (ABC + ACB + BAC) = 180 degree (Angle sum theorem)

=> y + 40 + x = 180

=> x + 40 + x = 180

=> 2x = 180 - 40

=> 2x = 140

x = 70°

Hence, Angle x and Angle y is 70 degree .

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Answer: 353ft

Step-by-step explanation:

To work out what the area of this composite shape is, you would split it into two shapes; a square and a rectangle.

For the formula of the rectangle and square you would do base x height.

So,

For the square you do 13x13=169

For the rectangle you would do 23x8=184

Then to work out the total area of the two shapes you would add the two areas together.

169+184=353

Answer:

A) The parallelogram is a rhombus

Step-by-step explanation:

A rhombus is an equally 4-sided figure with two acute angles and two obtuse angles opposite of each other.

Answer:

2/3 and 1/1.5

Step-by-step explanation:

2cookies/3 students

this means that if we divide both the numerator and the denominator by 2 we will get the unit rate for the cookies

1 cookie/1.5 students

I hope this helps!

Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

Answer:

Step-by-step explanation:

-4x - 4 = -4x - 8

=4 ≠ -8

no solution

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Answer:

no solution

Step-by-step explanation:

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

Distribute

-4x -4 = -4x -8

Add 4x to each side

-4x+4x - 4 = -4x+4x -8

-4 = -8

This is never true so there is no solution

The closest to the value of b is 3.6912.

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

f(x)=a(b)^x and we know that f(3)=17 and f(7)=3156. what is the value of b

Set up both equations with values

When x = 3, f(3) = 17, so we have a(b)^3 = 17

When x = 7, f(7) = 3156, so we have a(b)^7 = 3156

Isolate a in each equation

a = 17/(b)^3

a = 3156/(b)^7

Now set them equal to each other

17/(b)^3 = 3156/(b)^7

Cross Multiply

17b^7 = 3156b^3

Divide each side by b^3

17b^4 = 3156

Divide each side by 17

b^4 = 185.6471

b = 3.6912

Therefore, the closest to the value of b is 3.6912.

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Answer:

B is your answer

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

fraction: 99/1000 Step-by-step explanation:

The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.

Answer:

it is a 90*

Step-by-step explanation:

Check the picture below.

Answer:

i think you need apply the compound interest

The total distance leon biked in miles that weekend is 19.5 miles.

The answer provided below has been developed in a clear step by step manner.

On Saturday, Leon biked 1.5 hours at a speed of 14.5 miles per hour that means distance =  14.5 * 1.5 = 21.75 miles

On Sunday, he biked 2.75 hours at a speed of 15 miles per hour that means distance =15 * 2.75 =41.25  miles

Distance = speed*time  use this formula

He farther did in sunday = 41.25 - 21.75 miles = 19.5 miles

Therefore, that weekend Leon rode his bike a total of 19.5 miles.

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The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).

To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:

\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)

Let's calculate the first four terms:

Starting with the first term, we substitute

\(\(f(a) = f(1) = 2(1) = 2x\)\)

For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).

\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)

\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)

Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)

Since the second derivative is zero, the third term is zero.

Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)

Similarly, the fourth term is also zero.

Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:

(2x + 2x - 2)

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Answer:

x=-4

Step-by-step explanation:

divide 32 by 8 and move the negative sign to the result.

The position of the tree is (13.692 km, -1.398 km). A bird flies from its nest 9 km in the direction of 60∘ north of east, where it stops to rest on a tree. It then flies 13 km in the direction due southeasi and lands atop a telephone pole.

At what point is the tree located?

A bird flies from its nest 9 km in the direction of 60∘ north of east, where it stops to rest on a tree. It then flies 13 km in the direction due southeasi and lands atop a telephone pole.

We will place an xy-coordinate system so that the origin is the bird's nest, the x-axis points east, and the y-axis points north. Let's take AB to be the displacement vector of the bird with respect to the nest in a step of 9 km at 60 degrees north of east.

Then, we can write AB vector = 9 cos 60° i + 9 sin 60° j = 4.5i + 7.794jNow, the bird flies a displacement vector of 13 km towards southeast direction.

Thus, the displacement vector is: BC vector = 13 cos 135° i + 13 sin 135° j = −9.192i + 9.192j Therefore, the final position of the bird is given by AC vector which is the vector sum of AB vector and BC vector. Thus, AC vector = AB vector + BC vector= 4.5i + 7.794j - 9.192i + 9.192j = -4.692i + 16.986j.

The magnitude of AC vector is given by √((-4.692)² + 16.986²) = 17.6825 km. Therefore, the point at which the bird lands on the telephone pole is 17.6825 km away from the nest.

To find the position of the tree, we can subtract BC vector from AB vector as follows: AB vector - BC vector = (4.5 − (−9.192))i + (7.794 − 9.192)j= 13.692i − 1.398j.

Therefore, the point at which the bird lands on the tree is 13.692 km in the east and 1.398 km in the south.

In the above problem, we have found the position of the tree and the telephone pole with respect to the bird's nest.

The displacement vectors AB and BC have been determined based on the given distance and direction of the bird's flight.

Then, the displacement vector AC was found by taking the vector sum of AB and BC. From this, we found the magnitude of AC to be 17.6825 km which is the distance of the telephone pole from the bird's nest. Then, to find the position of the tree, we simply subtracted BC vector from AB vector.

This gave us a displacement vector of 13.692 km in the east and 1.398 km in the south.

This gives us the coordinates of the tree with respect to the bird's nest. Therefore, the position of the tree is (13.692 km, -1.398 km).

In conclusion, we have found the exact positions of the tree and the telephone pole with respect to the bird's nest by using vector addition.

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Answer:

Step-by-step explanation:

Total number marbles Stacia has = 28

The ratio of red to blue marbles = 1 : 6

As the total number of marbles is 28. Thus,

r + b = 28

As the ratio of red to blue marbles is 1 to 6.

It means for each red marble 'r', we have 6 blue 'b' marbles. Thus,

b = 6r

now substituting b = 6r in the equation r + b = 28

r + b = 28

r + 6r = 28

7r = 28

divide both sides by 7

7r/7 = 28/7

r = 4

Thus,

The total number of red marbles ⇒ r = 4

The total number of blue marbles ⇒ b = 6r = 6(4) = 24

Therefore,

The inequality can be written as 65L + 35S ≤ 500. The number of large boxes will be 5.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that Renaldo has $500 to spend on gift boxes for a party. The cost of a large box is $65 and a small box is $35.

The inequality can be written as:-

65L + 35S ≤ 500

The number of the large boxes will be calculated as:-

65L + 35S ≤ 500

65L + ( 35 x 6 ) ≤ 500

65L = 500 - 210

65L = 290

L = 4.523

L = 5 boxes

Therefore, the number of large boxes is 5 and the inequality is 65L + 35S ≤ 500.

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We need radius

Now

LSA

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

Volume of a cylinder

\(\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}\)

Given:

Use the Volume of a Cylinder formula and the given values to find the radius of the cylinder:

\(\implies \sf 1715=\pi r^2 (18)\)

\(\implies \sf r^2=\dfrac{1715}{18 \pi}\)

\(\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}\)

Surface Area of a Cylinder

\(\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}\)

Substitute the given value of h and the found value of r into the formula and solve for SA:

\(\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)\)

\(\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)\)

\(\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)\)

\(\implies \sf SA=813.3908956...\)

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

Answer:

20.66 cm^2

Step-by-step explanation:

area =1/2 AxB sine C

=1/2 x11x8 x sine 152

=11x4x0.46947156279

20.65674876258 cm^2

=20.6567cm^2

rounding it to the nearest hundredth we get,

20.66 cm^2

The average rate of change for the interval from x = 7 to x = 8 will be 15. Then the correct option is D.

We have,

Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:

Average rate = (y₂ - y₁) / (x₂ - x₁)

The quadratic equation with the vertex is given as

y = (x -  0)² - 1

y = x² - 1

Then the average rate of change for the interval from x = 7 to x = 8 will be

Average rate = [y(8) - y(7)] / (8 -7)

Then we have

Average rate = (64 -1 - 49 + 1) / 1

Average rate = 15

Thus, the correct option is D.

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Answer:

Nice!!

Step-by-step explanation: