write the formula of sin2A in terms of cotA​

Answer:

x = 2, y = 0

Step-by-step explanation:

find y in terms of x:

8x - 4y = 16

4y = 8x - 16

y = 2x - 4

substitute y:

8x + 4y = 16

8x + 4(2x - 4) = 16

8x + 8x - 16 = 16

16x = 32

x = 2

find y:

8x + 4y = 16

16 + 4y = 16

y = 0

If the leg of the triangle is equal to a, then:

The second leg is also equal to a.

the given hypotenuse is a√2.

The given area is equal to a²/2; and

The perimeter equals a (2 + √2).

Now, looks easy, but from where does it come? There are various of methods to prove that equation, the most popular of them are:

By using the Pythagorean theorem, we can do that.

As you know one leg length a, then you know the length of the other as well, as both of them are equal.

The given 45 45 90 triangle shows the remaining parameters. Now you know that:

hypotenuse length is - 9 in * √2 = 12.73 in.

area is - 9 in * 9 in / 2 = 40.5 in²; and

perimeter - 9 in + 9 in + 9 in * √2 = 30.73 in.

Find the hypotenuse from the Pythagorean theorem:

a² + b² = c² => a² + a² = c² so c = √(2a²) = a√2

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Complete Question

Consider greenhouse A with floor dimensions w = 16 feet , l = 18 feet.

A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?

Answer:

96 cubic feet

Step-by-step explanation:

The volume of the floor of the green house = Length × Width × Height

We convert the dimensions in feet to inches

1 foot = 12 inches

For width

1 foot = 12 inches

16 feet = x

Cross Multiply

x = 16 × 12 inches

x = 192 inches

For length

1 foot = 12 inches

18 feet = x

Cross Multiply

x = 18 × 12 inches

x = 216 inches

The height or depth = 4 inches deep

Hence,

Volume = 192 inches × 216 inches × 4 inches

= 165888 cubic inches

From cubic inches to cubic feet

1 cubic inches = 0.000578704 cubic foot

165888 cubic inches = x

Cross Multiply

x = 16588 × 0.000578704 cubic foot

x = 96 cubic feet

Therefore, 96 cubic feet of concrete is needed for the floor

Since, Kim works on commission and her trend of monthly earnings are not constant, Calculate the average from the data and estimate for the whole year , The answer is C) $15,720

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It helps to make sense of large amount of data and use it to draw conclusions and make informed decisions. It provides methods to summarize, describe and analyze data, as well as techniques to infer characteristics of a population from a sample.

The mean is a measure of central tendency and a way to describe the average value of a dataset. It is calculated by adding up all the values in a dataset and then dividing by the number of values. The resulting value is the mean of the dataset, also known as the arithmetic average. Mean is commonly used to describe a large data set, while median is used to describe data with values have outliers.

salary for four months = $1625, $960, $1235, and $1420.

Average = ($1625 + $960+ $1235+$1420) /4 = $1310

for whole year = $1310 * 12 = $15,720

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Answer:

0

Step-by-step explanation:

Well, since the line has the same y coordinates, you know it's a horizontal line.

All slopes of horizontal lines are 0.

Answer:

No

Step-by-step explanation:

Since [tex]2^2+3^2 \neq 5^2[/tex], the side lengths do not satisfy the Pythagorean theorem.

Answer:

50

Step-by-step explanation:

angleQPR=50

becauseQR=RP

so angleRQP=RPQ

x=50

Answer:

50

Step-by-step explanation:

angle QPR = 50 because QR= rp

Answer:

half of 20 is 10

10 is your new radius so

10^2 = 100

100 x 3.14 = 314

Now we multiply by the height:

314 x 11 = 3,454 cm^3

The volume of the solid is option (a) 3454 cm³.

Volume of a three dimensional shape is the space occupied by the shape.

Given is a cylinder.

Volume of a cylinder = π r² h

Here r is the radius of the circular base and h is the height of the cylinder.

Given,

Diameter of circular base = 20 cm

Radius = Diameter / 2 = 20/2 = 10 cm

Height = 11 cm

Substituting,

Volume = π r² h

             = (3.14) (10²) (11)

             = 3454 cm³

Hence the volume of the cylinder shown is 3454 cm³.

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Answer:

Circumference of the circle = 15.70 units.

Step-by-step explanation:

In this question three sides of a triangle has been given as 3, 4 and 5 units.

These are the sides of a right angle triangle.

3² + 4² = 5² [By Pythagoras theorem]

9 + 16 = 25

If this triangle is inscribed in a circle then Hypotenuse of the triangle will be the diameter of the circle.

Theorem for the angle formed in the semicircle says, "angle formed by drawing the the lines from the ends of the diameter of a circle to it's circumference form a right angle."

Therefore, radius of the circle will be  units

Now we know the formula of circumference of the circle = 2πr

= 2π(2.5)

= 2(3.14)(2.5)

= 15.70 units

The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

A distribution that is left-skewing has a lengthy left tail.

Distributions that are negatively skewed are also known as left-skewed distributions.

This is due to the number line having a significant negative tail.

Additionally, the peak is to the left of the mean.

The right tail of a right-skewed distribution is lengthy.

It's a widespread misperception that "peakness" is defined by the distribution's peak.

To put it another way, a peak that leans left indicates a left-skewed distribution.

Hence, The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

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Answer:

m=10

Step-by-step explanation:

hypotenuse is 15+5=20

to find shorter leg m divide the hypotenuse by 2

20÷2=10

Answer:

the pic is 't clear

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

"The 'Angle Bisector' Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle."

thus,

DB/AB = DC/AC

2.8/AB = 3/5.8

multiply both sides by AB to make it a numerator

2.8 = 3*AB/5.8

multiply both sides by 5.8/3 to isolate AB

2.8 * 5.8/3 = AB = 5.413 ≈ 5.4

Therefore , the solution of the given problem of triangle comes out to be

AB length = 5.4 units.

In a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.

Here,

According to the "Angle Bisector Theorem," a triangle's opposing side will be divided into two segments that are proportional to the other two sides.

thus,

DC/AC = DB/AB.

2.8/AB = 3/5.8

By multiplying both sides by AB, the numerator is created.

2.8 = 3*AB/5.8

To distinguish AB, multiply both sides by 5.8/3.

2.8 * 5.8/3 = AB = 5.413 ≈ 5.4

Therefore , the solution of the given problem of triangle comes out to be

AB length = 5.4 units.

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Answer:

23

Step-by-step explanation:

Angles x and 157 are linear pairs,

x + 157 = 180

x = 180 - 157

x = 23

Answer:

23°

Step-by-step explanation:

180-157= 23

Answer:

0.4

Step-by-step explanation:

hope this helps :)

Answer:

Formula-W=A/L

Legnth-17

Step-by-step explanation:

Using the formula to find width of a rectangle, (width= area divided by legnth), you get 17. You can check by multiplying 26 by 17 to get 442. Hope this helps (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Answer:

Formula : L x W

Length : 17.

Step-by-step explanation:

26 times 17 is 442

By using the fact that the interior angles should add up to 360°, we will see that:

C = 142°

We know that for any polygon of N sides, the sum of the interior angles is equal to:

S = (N - 2)*180°

In this case, the polygon has 4 sides, then:

S = (4 -2)*180° = 360°

Then we can write the equation:

A + B + C + D = 360°

Replacing the known angles we get:

68° + 43° + C + 107° = 360°

And now we can solve this for C.

C = 360° - 107° - 43° - 68°

C = 142°

That is the measure of the angle BCD.

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The horizontal line of the graph is known as x axis,

The term graph in math is defined as the visual representation of data or the function in math.

Here we have to find the definition for the horizontal line on a graph.

Here we know that the straight line that is mapped from left to right and it is parallel to the X-axis in the plane coordinate system.

On the other hand, we all also know that the straight line that does not make any intercept on the X-axis and it can have an intercept on Y-axis is called horizontal line.

And we all also know that the straight line that is parallel to the x-axis and where all the points on the line have the same y-coordinate and basically all horizontal lines are parallel to each other.

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Answer:

199

Step-by-step explanation:

Ok, lets do the math, 41,790 is going to be the number we divide by, and than we use 210 to divide it with, meaning the final answer is 199.

Answer:

B.

A cloud of gas and dust

Answer:

The answer is B. cloud of gas and dust

The values of x are 16, 15, and 13 respectively after balancing equations 19 - 17 = x - 13, 18 - x = 19 - 16, and 17 - 12 = 18 - x.

It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a prime number. An equation is a statement that has two equal sides and an equal sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a linear equation is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.

given

balancing equations

a) 19 - 17 = x - 13

x = 16

b ) 18 - x = 19 - 16

x = 15

c) 17 - 12 = 18 - x

x = 13

The values of x are 16, 15, and 13 respectively after balancing equations 19 - 17 = x - 13, 18 - x = 19 - 16, and 17 - 12 = 18 - x.

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Answer:

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Step-by-step explanation:

Answer:

a ratio is a part to whole for example chance of getting a one on a dice. so 1:6 or 1/3

Step-by-step explanation:

Answer:

A) first quadrant

hope it helps.

The angle between the 5cm and 7cm sides to the nearest degree should measure approximately 71 degrees.

To construct a triangle with sides 7cm, 5cm and 6cm, start by drawing a straight line of 7cm length using the ruler. Next, use the compasses to draw an arc from one end of the line, with a radius of 5cm. Then, draw another arc from the same point of the line, with a radius of 6cm. Where the arcs intersect, draw a straight line connecting them to complete the triangle.

To measure the size of the angle between the 5cm and 7cm sides, use the compasses to draw a small arc from the vertex of the angle, and measure the angle using the ruler. To ensure accuracy, divide the angle into smaller, easier-to-measure angles. Repeat the process until the angle is measured to the nearest degree. In this case, the angle between the sides of 5cm and 7cm is approximately 71 degrees.

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Answer:

A - $360

Step-by-step explanation:

Length times width equals area.

12 × 10 = 120

His office has 120 sq ft of space. If each sq ft costs $3

120 × 3 = $360

A

Answer:

A ($360)

Step-by-step explanation:

imagine a rectangle with one side 12ft and one side 10ft

multiply the length and the width to find the square footage:

12*10=120ft^2

each square foot is $3 so multiply 3 by 120

$3*120ft^2= $360

oops didn't realize someone already answered sorry

Answer:

$3228

Step-by-step explanation:

39236 - 500 = 38736

38736 / 12 = 3228

Answer:

d

Step-by-step explanation:

sorry if im wrong

Answer:

C. 46.06

Step-by-step explanation:

It's the volume of a sphere/2 plus volume of a cone