Which triangle is similar to ABC if sin A?

Answer:

55⁰

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

The image of the point (-5,-4) after a rotation of 180 counterclockwise is (5, 4).

A rotation moves a point along a circle centered at a given point, the standard center of that circle is the origin (unless it is defined otherwise).

Generally, for a point (x, y) a rotation of 180° (clockwise or counterclockwise, is the same in the case of 180°) just changes the sign of the two components of the point.

Then the image of the point (-5, -4) after a rotation of 180° counterclockwise is:

(- (-5), -(-4)) = (5, 4)

The image after the rotation is (5, 4).

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The experiment has six outcomes with corresponding probabilities. We define sets n and m, where n = {A, B} and m = {C, E, F}. The probability of the outcomes in set n is 3/100, and the probability of the outcomes in set m is 27/100.

In the given experiment, we have six outcomes: A, B, C, D, E, and F, with their respective probabilities as stated in the table. We define set n as {A, B} and set m as {C, E, F}.

To find the probability of the outcomes in set n, we sum up the probabilities of outcomes A and B, which gives us 1/100 + 1/20 = 3/100.

Similarly, to find the probability of the outcomes in set m, we sum up the probabilities of outcomes C, E, and F, which gives us 1/10 + 3/5 + 21/100 = 27/100.

Therefore, the probability of the outcomes in set n is 3/100, and the probability of the outcomes in set m is 27/100.

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Answer:

- 3x > -19 -5

- 3x > -24

3x < 24

x < 8

We can say in this triangle by Pythagorean theorem A2 = B2 + C2 => AC = sqrt115 after answering the provided question.

Because it has three sides and three vertices, a triangle is a polygon. It is a fundamental geometric shape. Triangle ABC is the name given to a triangle with the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. A triangle is a polygon because it has three sides and three corners. The triangle's corners are defined as the points at which the three sides meet. The sum of three triangle angles yields 180 degrees.

Pythagorean theorem applies here, in this triangle

\(A^2 = B^2 + C^2\)

\(AC = \sqrt{14^2 - 9^2}\)

\(AC = \sqrt{196 - 81}\)

\(AC = \sqrt{115}\)

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An urn contains 5 red balls, 8 blue balls, and 7 green balls, total 1680 different ways can there be exactly 2 red balls or exactly 2 green balls.

We have given that,

Total number of balls in urn = 20

Red balls in urn = 5

blue balls in urn = 8

green balls in urn = 7

Four balls are withdraw from an urn.

We have to calculate the different ways can there be exactly 2 red balls or exactly 2 green balls.

Total number of ways that exactly 2 red balls are withdraw = ⁵C₂= 5!/2!3! = 5×4/2

= 10 ways

Total number of ways that exactly 2 green balls are withdraw = ⁷C₂ = 7!/5!2!

= 7×6/2 = 21 ways

Total number of ways that last fifth ball is blue withdraw from urn = ⁸C₁ = 8!/7!/1!

= 8 ways

The different ways that exactly 2 red balls or exactly 2 green balls are withdraw from an urn

= ⁵C₂× ⁷C₂ × ⁸C₁

= 10× 8×21 = 1680 ways.

Hence, required number of ways are 1680.

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Answer:

See below

Step-by-step explanation:

cos  2pi/3   =    -1/2

sin   2pi/3   =     sqrt (3)/2

cos   1 pi/6  =     sqrt(3)/2

sin   11 pi/6  =    - 1/2

so when you put in these values in  you will have :

(2*8) * (-1/2 + sqrt (3)/2 i )( sqrt(3)/2) + i (-1/2) )

= 16 ( - sqrt (3)4  + 1/4 i + 3/4 i - sqrt(3)/4  i^2 )        rememember i^2 =  - 1

= 16 ( 1/4  i  + 3/4  i )

= 16 i

Answer:

b= -90

Step-by-step explanation:

30= -1/3b

multiply by negative 3 on both sides to make -1/3 into 1.

-90 = b

Answer:

Solve the rational equation by combining expressions and isolating the variable bb.

Exact Form:

b= -1/90

The domain of the function is (-∞, -8) and (-8, ∞). Then the range of the function will be (-∞, 0) and (0, ∞).

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

y = 3/(x + 8)

Then the domain of the function is (-∞, -8) and (-8, ∞). Then the range of the function will be (-∞, 0) and (0, ∞).

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The number of people they use at least two facilities is 37

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

n( of people that use gym and pool only) = 15-1 = 14

n( of people that use pool and track only) = 14-1 = 13

n( of people that use gym and track only) = 10-1 = 9

therefore total number of people that use atleast two facilities = 14+13+9+1 = 37

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Answer:(9,-3)

Step-by-step explanation:

You just have to flip the numbers

Answer:

45.

Step-by-step explanation:

Find the LCM (Least Common Multiple):

Lets list out the multiples of 5 and 9 (Denominators)

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

45 is the least common multiple.

Multiply the denominator to get to 45, same applies for numerator:

\( \frac{3 \times 9}{5 \times 9} = \frac{27}{45} \)

\( \frac{4 \times 5}{9 \times 5} = \frac{20}{45} \)

45 is the least common multiple that you can use for your denominators.

The solution to the equation 3^2 x 2^x = 1/18 is x = -2.

To solve the equation 3^2 x 2^x = 1/18, we can rewrite it using the properties of exponents.

3^2 x 2^x = 9 x 2^x

Now, let's rewrite the right side of the equation as a power of 2:

1/18 = 2^(-2)

Substituting these values back into the equation, we have:

9 x 2^x = 2^(-2)

To solve for x, we can equate the exponents on both sides of the equation:

x = -2

As a result, x = -2 is the answer to the equation 32 x 2x = 1/18.

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The probability of obtaining a grid that does not have a 2 × 2 red square is 127/128 and the value of (p + q + 1) / 310  is 0.82.

Total number of outcomes = \(2^9\) = 512

We will subtract the outcomes of obtaining a grid that does not have a

2 × 2 red squares from the total outcomes.

Favorable outcomes = Total outcomes - outcomes having \(2\) × \(2\) red squares

                                   = \(2 ^3 - 4\)

                                    = 508

So favorable outcomes are 508.

Probability calculates the chances of experiments occurring. It is obtained by the ratio between favorable outcomes and total outcomes. It is basically how likely something is to happen.

Probability = Favorable outcomes / Total no. of outcomes

                  = 508 / 512

                  = p/q

                 = 127/128

So, the probability of obtaining a grid that does not have a 2 × 2 red square is 127/128.

        Now, the value of (p + q + 1)/310

     =  (127 + 128 + 1)/310

   = 256/310

= 0.82

Therefore, the value of (p + q + 1) / 310 is 0.82.

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The complete question is -

"Each unit square of a 3 * 3 square grid is to be colored either blue or red for each square, either color is equally likely. The probability of obtaining a grid that does not have a 2 * 2 red square is CHCF(p,q) is 1). Find this probability and then find the value of  (p + q + 1) / 310 ?"

Answer:

the answer is 17.6cm2 ..

Answer:

13/t

Step-by-step explanation:

you add the numerators, because the denominators are the same variable.

I don't see the question of the first picture, so if it is asking the same thing as the second question, the answer to the first pic is D. (If the first pic is asking which shows a triangle inscribed in a circle then the answer would be A.)

The answer to the second pic is A.

When a shape is inscribed it means it is inside the other shape. Just look at the prefix (in), in inscribed.

Hope this makes sense.

Answer:

D) 2

Step-by-step explanation:

Use the following slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (4 , 1)

(x₂ , y₂) = (1 , -5)

Plug in the corresponding numbers to the corresponding variables:

m = (-5 - 1)/(1 - 4)

Simplify. Remember to follow PEMDAS. First subtract, then divide:

m = (-5 - 1)/(1 - 4)

m = (-6)/(-3)

m = 2

D) 2 is your answer.

~

we are asked to solve a system of inequalities that reads:

18 + 2 x < 12

5 x + 2 >= - 18

so we solve for x in each one:

18 + 2 x < 12

subtract 18 from boths sides:

2 x < 12 - 18

2 x < - 6

divide by 2 both sides:

x < - 3

5 x + 2 >= - 18

subtract 2 from both sides:

5 x >= - 20

divide both sides by 5:

x >= -4

so this tells us that we want x values larger than or equal to -4 and x values smaller than -3.

So, please allow me to plot these two sections and see if there is an intersection of both sets:. The graphing can take a little time, so please be patient.

Notice that we have highlighted in green the section of the number line with x-values to the RIGHT of -4 (and also including the "-4" point with a "solid dot".

On the other extreme of this segment we see an "empty dot" at the point -3 on the number line. In this case we are NOT including the value "-3" as per the inequality that asks for x numbers strictly smaller than -3 (so to the left of "-3" NOT including "-3" (represented by the empty dot.

So the graph of the compounded inequality is given above, and the mathematical way to express it is:

- 4 <= x < - 3

Answer:

7.814 * 10^6

Step-by-step explanation:

Move the decimal point (which is at the end of the number) six places to the left so that you have one non-zero digit to the left of the decimal point. The number of places it is moved to the left is the exponent. Since it is moved to the left it is a positive exponent.

Answer:

(a)V=36πh

Explanation:

• Radius = 6 meters

Part A

An equation that represents the volume V as a function of the height h is:

Part B

Using 3.14 as an approximation for π

The graph of the function is attached below: (V is on the y-axis and h is on the x-axis).

Part C

The initial equation for volume is:

When h=1

If you double the height of a cylinder, h=2:

We observe that when the height is doubled, the volume of the cylinder is also doubled.

Part D

The initial equation for volume is:

If the height of the cylinder is multiplied by 1/3, we have:

The volume of the cylinder will be divided by 3.

Using the graph, we observe a horizontal stretch of the graph by 1/3.

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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The probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.

To calculate p(84 ≤ x ≤ 86) when n = 9, we first need to determine the distribution of the sample mean. Since the sample size is n = 9, we can use the central limit theorem to assume that the distribution of the sample mean is approximately normal with mean μ = 85 and standard deviation σ = σ/√n = σ/3, where σ is the population standard deviation.

Next, we need to standardize the values of 84 and 86 using the formula z = (x - μ) / (σ / √n). Plugging in the values, we get:

z(84) = (84 - 85) / (σ/3) = -1 / (σ/3)
z(86) = (86 - 85) / (σ/3) = 1 / (σ/3)

To calculate the probability between these two z-scores, we can use a standard normal table or a calculator with a normal distribution function. The probability can be expressed as:

P(-1/σ ≤ Z ≤ 1/σ) = Φ(1/σ) - Φ(-1/σ)

where Φ is the cumulative distribution function of the standard normal distribution.

Therefore, to calculate p(84 ≤ x ≤ 86) when n = 9, we need to determine the value of σ and use the formula above. If σ is known, we can plug in the value and calculate the probability. If σ is unknown, we need to estimate it using the sample standard deviation and replace it in the formula.

For example, if the sample standard deviation is s = 2, then σ = s * √n = 2 * √9 = 6. Plugging in this value in the formula, we get:

P(-1/6 ≤ Z ≤ 1/6) = Φ(1/6) - Φ(-1/6) = 0.2061 - 0.7939 = 0.5878

Therefore, the probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.

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Answer:

Step-by-step explanation:

The probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.

To calculate p(84 ≤ x ≤ 86) when n = 9, we first need to determine the distribution of the sample mean. Since the sample size is n = 9, we can use the central limit theorem to assume that the distribution of the sample mean is approximately normal with mean μ = 85 and standard deviation σ = σ/√n = σ/3, where σ is the population standard deviation.

Next, we need to standardize the values of 84 and 86 using the formula z = (x - μ) / (σ / √n). Plugging in the values, we get:

z(84) = (84 - 85) / (σ/3) = -1 / (σ/3)

z(86) = (86 - 85) / (σ/3) = 1 / (σ/3)

To calculate the probability between these two z-scores, we can use a standard normal table or a calculator with a normal distribution function. The probability can be expressed as:

P(-1/σ ≤ Z ≤ 1/σ) = Φ(1/σ) - Φ(-1/σ)

where Φ is the cumulative distribution function of the standard normal distribution.

Therefore, to calculate p(84 ≤ x ≤ 86) when n = 9, we need to determine the value of σ and use the formula above. If σ is known, we can plug in the value and calculate the probability. If σ is unknown, we need to estimate it using the sample standard deviation and replace it in the formula.

For example, if the sample standard deviation is s = 2, then σ = s * √n = 2 * √9 = 6. Plugging in this value in the formula, we get:

P(-1/6 ≤ Z ≤ 1/6) = Φ(1/6) - Φ(-1/6) = 0.2061 - 0.7939 = 0.5878

Therefore, the probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.

Answer:

boom box second one one my bad just need points my g

Step-by-step explanation:

Answer:

3

decreasing

negative

Step-by-step explanation:

The graph of function g crosses the x-axis at (3,0), so there is a zero at x = 3.

As the values of x increase, the values of g(x) decrease, so function g is decreasing along all intervals, including the interval [-5, 5].

As the values of x approach positive infinity, cube root functions either approach positive infinity or negative infinity. Since this function is decreasing, the values of g(x) approach negative infinity.

Answer:

greater than to less than

Step-by-step explanation:

Because you will divide the number by negative.

Answer:

refer pic

sorry for messy handwriting

hope it help u and i appreciate if you give brainliests, thanks

Step-by-step explanation:

here,

1o

so X is equal to 10