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What other information is needed to prove the two triangles similar? (Explain)

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer:

Answer: $13.39

Step-by-step explanation:

first, you take 25% off 21, by multiplying 21*.25 which is 5.25

next, subtract 5.25 from 21, which gets you 15.75

next, add the 15% off coupon, by multiplying 15.75*.15 which is 2.3625

last, subtract 2.3625 from 15.75, which gets you 13.3875, or $13.39 rounded

The formula for the real portion of a complex function can be used to write re(e(1/z)) in terms of x and y: f(z) + f(z*) = re(f(z)) / 2

where z* denotes z's complex conjugate.

By applying this formula to the provided function, we obtain:

re(e(1/z)) = (e(1/z) + e(1/z*)) / 2

re(e(1/z)) = (e(x-iy) + e(x+iy)) / 2

re(e(1/z)) = (ex (cos y + I sin y) + ex (cos y - I sin y)) /2

As a result, re(e(1/z)) can be represented as ex cos y in terms of x and y.

Because it fulfills Laplace's equation, which asserts that the total of a function's second-order partial derivatives is equal to zero, this function is harmonic in every domain excluding the origin.

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The method-of-moments estimators of μ and σ² are μ = sample mean,
σ² = sample second moment - sample mean².

To find the method-of-moments estimators of μ and σ², we need to first calculate the first and second moments of the normal distribution.

The first moment is simply the mean , which is equal to μ.

The second moment is the variance plus the square of the mean, which is equal to σ² + μ².

To estimate μ, we can set the sample mean equal to the population mean μ, and solve for μ:

sample mean = μ
μ = sample mean

To estimate σ², we can set the sample second moment equal to the population second moment, and solve for σ²:

sample second moment = σ² + μ²
σ² = sample second moment - μ²

Therefore, the method-of-moments estimators of μ and σ² are:

μ = sample mean
σ² = sample second moment - sample mean².

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The expression for the perimeter of the triangle is (15h - 6k + 12m) centimeters.

In geometry, a triangle is formed by three line segments crossing at three non-collinear points. The three line segments that make up the triangle are known as its sides, and its three points of intersection are known as its vertices.

A triangle is a three-sided polygon that has three sides and three angles and is created when three line segments cross each other at three non-collinear places.

The whole length of the sides makes up a triangle's perimeter.

Therefore, the expression for the perimeter of the given triangle in centimeters is:

(5h-4k) + (10h+7m) + (5m-2k)

Simplifying by combining like terms, we get:

15h - 6k + 5m + 7m

which can be further simplified as:

15h - 6k + 12m

Therefore, the expression for the perimeter of the triangle is (15h - 6k + 12m) centimeters.

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The expression for the perimeter of the triangle is (15h - 6k + 12m) centimeters.

Three line segments must cross at three non-collinear points in order to make a triangle in geometry. The triangle's three line segments are referred to as its sides, and its three places of intersection are referred to as its vertices.

Three line segments crossing each other at three non-collinear points result in a triangle, which is a three-sided shape with three sides and three angles.

A triangle's perimeter is determined by adding the lengths of its edges.

As a result, the formula for the triangle's perimeter in millimeters is as follows:

(5h-4k) + (10h+7m) + (5m-2k)

Simplifying by combining like terms, we get:

15h - 6k + 5m + 7m

which can be further simplified as:

15h - 6k + 12m

Therefore, (15h - 6k + 12m) centimeters is the formula for the triangle's perimeter.

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The answer is approximately 68% of the scores in a normally distributed set of data will fall within one standard deviation (-1 to +1) of the mean, according to the empirical rule.

According to the empirical rule, approximately 68% of the scores in a normally distributed set of data will fall within one standard deviation (i.e., within -1 to +1 standard deviation) of the mean. This is also known as the 68-95-99.7 rule or the three-sigma rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean. Approximately 95% of the data falls within two standard deviations of the mean. Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, the answer to the question is 68%.

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Answer:

A,D,E,F,H,I

Step-by-step explanation:

because they have molecules joined on to them

Answer:

B. A, D, E, F, H and I

Step-by-step explanation:

B is the answer

Answer: (3, 7)

Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)

Have a nice day! :)

The relation that represents a function is the one in the top right.

Here we have some graphs of some relations, and we want to se which one of these is also a function.

A relation is a function only if each element in the domain (set of the inputs of the function) is mapped into only one of the elements in the range (set of the outputs of the function)

When we have a graph, we can check this with the vertical line test.

If we draw a vertical line over the graph of the relation, and it touches the graph of the relation in more than one point, then it is not a function.

If we do that, we  will see that the only graph that represents a function is the one in the top right position.

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Answer:

D

Step-by-step explanation:

-3 - (-3)(-1)

-3 - (3)

-6

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Answer:

It will take 4 hours. hi

Step-by-step explanation:

-24 / -6 = 4

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-Lil_G

Answer: the other side has to be five since they are the same which will equal to 10 so that means the other two sides should be 10 each

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

On solving the provided question, we can say that here, in equation the greatest distance the ball is from the ground is -y = -4.9 + 9.8 +2 = 6.9

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here,

the equation y=-4.9x^2+9.8x+2

where y = the distance the ball is from the ground in meters

x = the elapsed time in seconds

the greatest distance the ball is from the ground is -

\(y=-4.9x^2+9.8x+2\)

x = 1

y = -4.9 + 9.8 +2 = 6.9

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Answer:

−2±13−−√

Step-by-step explanation:  one answer for sure

Answer:

−2±13−−√

Step-by-step explanation:

The standard deviation of the random variable Y, representing the number of successes in 30 trials of a biased coin toss with a probability of success p = 0.40, is approximately 2.19.

The standard deviation of a binomial distribution, which models the number of successes in a fixed number of independent trials, can be calculated using the formula:

\(\(\sigma = \sqrt{n \cdot p \cdot (1-p)}\),\)

where \(\(\sigma\)\) is the standard deviation, n is the number of trials, and p is the probability of success. In this case, n = 30 and p = 0.40. Substituting these values into the formula, we get:

\(\(\sigma = \sqrt{30 \cdot 0.40 \cdot (1-0.40)} = \sqrt{30 \cdot 0.40 \cdot 0.60} = \sqrt{7.2} \approx 2.19\).\)

Therefore, the standard deviation of the random variable Y is approximately 2.19. This indicates the amount of variation or dispersion in the number of successes that can be expected in 30 independent trials of the biased coin toss.

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The value of sin(θ) is approximately 0.921 and the value of cos(θ) is approximately 0.391.

To find the value of each variable using sine and cosine, we need to set up a right triangle with the given information. Let's label the sides of the triangle as follows:

Using the Pythagorean theorem, we can find the length of the hypotenuse:

h2 = s2 + t2

h2 = 31.32 + 13.32

h2 = 979.69 + 176.89

h2 = 1156.58

h = √1156.58

h ≈ 34.0

Now that we know the length of the hypotenuse, we can use sine and cosine to find the values of the variables:

sin(θ) = s / h

sin(θ) = 31.3 / 34.0

sin(θ) ≈ 0.921

cos(θ) = t / h

cos(θ) = 13.3 / 34.0

cos(θ) ≈ 0.391

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Answer:

132

Step-by-step explanation:

because area is when you multiply 2 numbers and if you multiply 12 and 11 you will get 132 u welcome

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

Step-by-step explanation:

Answer:

y= = -2

Step-by-step explanation:

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.

Answer:

b

Step-by-step explanation:

edge2020

The correct explicit formula is f(1) = 6; f(n) = 6 + d(n − 1), n > 0

The arithmetic sequence explicit formula can be easily computed from the term of the sequence.

For the arithmetic sequence a, a + d, a + 2d, a + 3d, ........a + (n - 1)d, and the nth term of the sequence forms the explicit formula. Hence the explicit formula for the arithmetic sequence is an = a + (n - 1)d.

Given:

The first layer has 6 squares.

The second layer has 12 squares.

The sequence can be

6, 12, ...

then f(1)= 6

So, for n square we can write

f(n) =  6 + d(n − 1)

Hence, the explicit formula is  f(n) = 6 + d(n − 1),

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As per the concept of z - score, the percentile would this client's score is 0.4772

Z - score:

In statistics, z - score is also termed the standard score, is used to determine how much each data point position is away from its mean. Where as in other words, it measures the deviation of x (data point) in terms of the standard deviations. Here the percentage of the population above or below the score can be obtained using z tables.

Given,

A test has a mean of 100 and a standard deviation of 15. a client scores 130 on the test.

Here we need to find at what percentile (rounded off) would this client's score place her.

As per the formula of z score, here we have the values,

mean = 100

standard deviation = 15

Score = 130

Therefore, the z score is calculated as,

=> z score = (130 - 100) / 15

=> z score = 30 / 15

=> z score = 2

According to the z score table the resulting value is 0.4772.

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Answer:

Negative:)

Step-by-step explanation:

Answer:

15,55 - 1,8= 13,75

Step-by-step explanation:

The formula for finding the total surface area of ​​the faces of a cylindrical container is 2r(h + r), where r is the radius of the circular base of the cylinder and h is its height.

The cylindrical container has two rounded bottoms and a curved surface. We need to take these two things into account to get the total surface area of ​​the cylindrical container.

The equation for the all-out region of a barrel-shaped compartment is 2r(h + r), where r is the span of the round base and h is the level of the chamber.

The region (2πrh) of a bent surface of a chamber can be gotten by adding the regions (2πr²) of the upper and lower roundabout surfaces. The area of ​​each cylindrical face is taken into account in the resulting formula.

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The question is -

What is the formula for calculating the total surface area of the faces of the cylindrical container?

Answer:

a) x=4.1,y=6.8 b) x= ,y=

Step-by-step explanation:

a)Tn= a+(n-1)d

a=1.4

d=unknown

to find d use the terms given to solve

using the fourth term

9.5=1.4 + (4 -1)d

9.5= 1.4+(3)d

9 5-1.4=3d

8.1=3d

8.1/3=3d/3

2.7 =d

To find x

Tn=a+(n-1)d

x=1.4+(2-1)2.7

x= 1.4+(1×2.7)

x=1.4+2.7

x=4.1

To find y add 2.7 to x

y=4.1+2.7

y=6.8