If ∠P measures 27°, ∠R measures 135°, and p equals 9.5, then which length can be found using the Law of Sines?

The proportion used to find the value of a is a/18 = 16/a

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

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Answer:

As

\(p(-5) = 0\)

Thus, the correct option is 'd'.

Step-by-step explanation:

We know that the special theorem of remainder states that:

if

\(x-k\) is a factor of \(p(x)\)

then

\(p(k) = 0\)

so

\(x+5 = x-(-5)\)

\(k = -5\)

Thus,

\(p(k) = 0\)

\(p(-5) = 0\)

Thus, the correct option is 'd'.

The exchange rate is the value of a country's currency in terms of another country's currency.

The exchange rate is the cost of a country's currency in respect to another currency. If the exchange rate between the U.S. dollar (USD) and the Japanese yen (JPY) is 120 yen for every dollar, then one dollar may be exchanged for 120 yen in the foreign exchange market.

From the above definition, it is clear that the complete definition of the exchange rate is given as the exchange rate is the value of a country's currency in terms of another country's currency.

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To determine the total weight of the coins to within 0.1% uncertainty, we need to weigh 100 coins.

We can use the formula for the standard deviation of the mean to determine the number of coins needed to be weighed. The formula is given by -

σ mean = σ/√N

Where σ is the standard deviation of the coins and N is the number of coins weighed.

We are given that the standard deviation of the coins is 1%, we have,

σ mean = 1%/√N

We want to determine the number of coins N such that σ mean = 0.1%. So, 0.1% = 1%/√N

Dividing both sides by 0.1% we get,

√N = 1%/0.1% = 10

Taking the square of both sides,

N = \(10^2\) = 100

Therefore, to determine the total weight of the coins to within 0.1% uncertainty, we need to weigh 100 coins.

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Answer:

distance between a and b is 1

distance between b and c is 3

distance between b and a is 1

6,-3

2-,5

-10,-3

-2-11

3

Answer:

Lol question for me only

Real Answer:

A and B = 1

B and C = 3

B and A = 1

Four points that are four points

6,-3

-2,5

-10,-3

-2,-11

Distance between some points

3

Answer:

The answer is option C.

Hope this helps you

Answer:

C

Step-by-step explanation:

find slope of the two lines:

(-6,5) , (-2,7)

m=y2-y1/x2-x1

m=7-5/-2-(-6)

m=2/4=1/2 for first line

second line : (4,2) , (6,6)

m=6-2/6-4

m=4/2=2

parallel lines have same slope, perpendicular has opposite reciprocal slope

Answer:

give me the rest of the question/ a picture or something then i can answer

Step-by-step explanation:

The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

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\(\frac{7t^8u^5}{6v}\)Answer:

A

Step-by-step explanation:

One step at a time!

Your first step will be to find the common denominator with your constants. 35 and 30 are both divisible by 5, so you can simply your fraction to: \(\frac{7t^5u^7v^-^4}{6t^-^3u^2v^-^3}\) This eliminates answers B and D.

Now we can simplify the rest of the variables. The property of exponents in terms of division says that you subtract exponents from each other. So:

Variable t: 5-(-3) = 8

Variable u: 7-2 = 5

Variable v: -4-(-3)= -1

That leaves you with \(\frac{7t^8u^5v^-^1}{6}\)

Since you have a negative exponent up top, you need to simplify it: \(v^-^1 = \frac{1}{v^{1} }\)

So, your answer would be \(\frac{7t^8u^5}{6v}\)

Answer:

Juan is correct.

Step-by-step explanation:

60+60x0.25= 75

Answer:

A. 83

Step-by-step explanation:

I hope this helps :)

The value of sin(A + B) = 72/85 if sin A = − 24/25 with 270° ≤ A ≤ 360° and cos B = − 15/17 with 90° ≤ B ≤ 180°.

To find sin(A + B), we will use the formula:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

First, we need to find sin(A) and cos(A). Since sin A = −24/25 with 270° ≤ A ≤ 360°, we know that A is in the fourth quadrant where sin A is negative and cos A is positive. Using the Pythagorean identity, we can find cos A:

cos² A + sin² A = 1
cos² A + (-24/25)² = 1
cos² A = 1 - (-24/25)²
cos A = √(1 - 576/625) = √49/625 = 7/25 (positive because A is in the fourth quadrant)

Therefore, sin A = -24/25 and cos A = 7/25.

Next, we need to find sin(B) and cos(B). Since cos B = −15/17 with 90° ≤ B ≤ 180°, we know that B is in the second quadrant where sin B and cos B are both negative. Using the Pythagorean identity, we can find sin B:

sin² B + cos² B = 1
sin² B + (-15/17)² = 1
sin² B = 1 - (-15/17)²
sin B = -√(1 - 225/289) = -√64/289 = -8/17 (negative because B is in the second quadrant)

Therefore, sin B = -8/17 and cos B = -15/17.

Now, we can substitute these values into the formula for sin(A + B):

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
= (-24/25)(-15/17) + (7/25)(-8/17)
= 360/425
= 72/85

Therefore, sin(A + B) = 72/85.

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The two column proof showing that m∠5 + m∠2 + m∠6 = 180°  is as detailed below.

A two-column proof is defined as geometric proof that consists of a list of statements, and then the reasons that we know those statements are true.

Thus, the two column proof is;

Statement 1: y || z

Reason 1: Given

Statement 2: m∠1 + m∠2 + m∠3 = m∠LAM

Reason 2: Angle addition postulate

Statement 3: m∠1 + m∠2 + m∠3 = 180°

Reason 3: definition of straight angle

Statement 4: ∠1 ≅ ∠5

Reason 4: Alternate interior angles theorem

Statement 5: ∠3 ≅ ∠6

Reason 5: Alternate interior angles theorem

Statement 6: m∠1 ≅ m∠5

Reason 6: Definition of ≅(congruency)

Statement 7: ∠3 ≅ ∠6

Reason 7: Definition of ≅(congruency)

Statement 8: m∠5 + m∠2 + m∠6 = 180°

Reason 8: substitution

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Answer:

check picture ..
edge 2023

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.

Answer:

The answer to our question is A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

I hope this helps and have a good day!

The  simplified equation leads Alex to this conclusion is x=5 or x= 0.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have given few Resultant value.

So, x = 5 shows that the resultant value of x is 5.

and,  x = 0 shows that the resultant value of x is 0.

and, 5 = 5 shows only equality and for equation there must be variable.

and, 5 = - 5 shows only inequality and for equation there must be variable.

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Answer:

Step-by-step explanation:

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer: the answer is m=–1/2

Step-by-step explanation: To factor –2.8 out of –16.8m–11.2, you’ll need to factor and set each factor equal to zero. If you mark me brainliest please I will be happy if not I won’t be happy! :)

a). The probability of randomly selecting a club or a queen from a standard deck of 52 playing cards is approximately 0.308.

b). The probability of randomly selecting a red suit or a 5 is approximately 0.519.

c). The probability of randomly selecting an 8 or a face card is approximately 0.308.

(a) To find the probability of randomly selecting a club or a queen, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 13 clubs in a deck, including the queen of clubs. Since the queen of clubs is already counted as a club, we only count it once. Therefore, there are 13 favorable outcomes (clubs) in total. Additionally, there are 4 queens in a deck. However, the queen of clubs was already counted as a club, so we subtract 1 from the count of queens. Therefore, there are 3 favorable outcomes (queens) in total. The total number of possible outcomes is 52 (since there are 52 cards in a deck). Hence, the probability of randomly selecting a club or a queen is (13 + 3) / 52 ≈ 0.308.

(b) To find the probability of randomly selecting a red suit or a 5, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 26 red cards in a deck (13 hearts and 13 diamonds). Additionally, there are 4 fives in a deck. However, we need to exclude the five of hearts and the five of diamonds since they were already counted as red cards. Therefore, there are 2 favorable outcomes (fives) in total. The total number of possible outcomes is 52 (since there are 52 cards in a deck). Hence, the probability of randomly selecting a red suit or a 5 is (26 + 2) / 52 = 0.519.

(c) To find the probability of randomly selecting an 8 or a face card, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 eights in a deck, and there are 12 face cards (4 jacks, 4 queens, and 4 kings). However, we need to exclude the queen of clubs since it was already counted as a face card. Therefore, there are 11 favorable outcomes (8s and face cards) in total. The total number of possible outcomes is 52 (since there are 52 cards in a deck). Hence, the probability of randomly selecting an 8 or a face card is 11 / 52 ≈ 0.308.

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the expected total number of orange candies and the standard deviation for the total number of orange candies in the two samples, respectively, are 13.75 and 3.033. Option E is correct.

We are given that Ten percent of all Dynamite Mints candies are orange and 45 percent of all Holiday Mints candies are orange.

Two independent random samples, each of size 25, are selected - one from Dynamite Mints candies and the other from Holiday Mints candies and we are asked to find the expected total number of orange candies and the standard deviation for the total number of orange candies, respectively, in the two samples.

To solve this problem, we will use the formula for mean and variance of a binomial distribution.

Mean or Expected Value E(X) = np

Variance V(X) = np(1-p)The formula for standard deviation is as follows;

Standard deviation of X, σ(X) = √np(1 - p)The number of orange candies in each sample of size 25 is expected to be:

For Dynamite Mints: np = 25 × 0.1 = 2.5For Holiday Mints: np = 25 × 0.45 = 11.25Therefore, the expected total number of orange candies in the two samples is: 2.5 + 11.25 = 13.75The variance for Dynamite Mints is:

V(X) = np(1 - p) = 25 × 0.1 × (1 - 0.1) = 2.25The variance for Holiday Mints is:

V(X) = np(1 - p) = 25 × 0.45 × (1 - 0.45) = 6.9375Therefore, the total variance for the two samples is:

V(X1 + X2) = V(X1) + V(X2) = 2.25 + 6.9375 = 9.1875The standard deviation for the two samples is:

σ(X1 + X2) = √V(X1 + X2) = √9.1875 = 3.033

So, the expected total number of orange candies and the standard deviation for the total number of orange candies in the two samples, respectively, are 13.75 and 3.033. Option E is correct.

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Answer:

168

Step-by-step explanation:

If i am not wrong it should be 168 because the formula is

A=a+b

-----------

2h

Answer:

5320 Newtons

Step-by-step explanation:

mass time acceleration so 760 kg times 7 secs

The force that should be applied to the rocket is 5,320N.

Given that,

Based on the above information, the calculation is as follows:

\(= 760 \times 7.0\)

= 5,320N

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78% of the students in the sample stated they would prefer to start their own business rather than work for someone else.

The sample proportion is a statistic that measures the proportion of individuals in a sample who have a particular characteristic of interest. In this case, we are interested in the proportion of college students who stated they would prefer to start their own business rather than work for someone else.

The sample proportion can be calculated as the number of individuals in the sample who have the characteristic of interest (in this case, preferring to start their own business) divided by the total number of individuals in the sample. Using the information provided in the question, we have:

Number of individuals in the sample who prefer to start their own business: 78

Total number of individuals in the sample: 100

So the sample proportion is:

sample proportion = 78/100 = 0.78

Rounding this to two decimal places, we get:

sample proportion ≈ 0.78

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\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

As we observe the points, we can conclude that :

Translation along x axis is ~

\(\qquad \sf  \dashrightarrow \: 1 - ( - 3)\)

\(\qquad \sf  \dashrightarrow \:1 + 3\)

\(\qquad \sf  \dashrightarrow \:4 \: \: units \: \: towards \: \: left\)

Translation along y axis ~

\(\qquad \sf  \dashrightarrow \: - 8 - ( - 13)\)

\(\qquad \sf  \dashrightarrow \: - 8 + 13\)

\(\qquad \sf  \dashrightarrow \:5 \: \: units \: \: towards \: \: down\)

So, same goes with translation of (-5 , 9)

\(\qquad \sf  \dashrightarrow \: x \: \:coordinate = - 5 - 4 = - 9\)

\(\qquad \sf  \dashrightarrow \: y \: \:coordinate = 9 - 5 = 4\)

So, the required coordinates of the image under same translation is ~

\(\qquad \sf  \dashrightarrow \:(-9, 4)\)

Answer:

Please help look at the image I need help with number 4. I already did the line plot for number 3 and the data in on the chart. Thank you! :)

Answer:

1/9

Step-by-step explanation:

that means 1 out of 9.

Answer:

3

Step-by-step explanation:

30 % as a fraction is 30/100

since the are doing 10 sections we must simplify 100 to 10 so

\(\frac{30}{100} =\frac{3}{10}\)

so this means 3 out of 10 of the sections would be labeled chocolate icecream

The count of the sections the class should label as "Chocolate Ice Cream" is 3.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}\)

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the considered case, it is given that:

Probability of an student getting Chocolate Ice Cream for dessert at lunch =  30% = 0.3

The count of the sections the class should label as "Chocolate Ice Cream" should be such that spinner getting "Chocolate Ice Cream" as option should have the probability as 0.3

Let the count of the sections the class should label as "Chocolate Ice Cream"  be \(x\)

Then, as there are in total 10 sections in the spinner, and all sections are assumingly equally probable, thus, if the event E is:

E = event of getting "Chocolate Ice Cream" in the spinner ,

then as n(E) = \(x\) (as there are \(x\) sections with label "Chocolate Ice Cream")

and n(S) = total count of sections (size of sample space)  = 10

Thus, we get probability of event E as:

\(P(E) = \dfrac{n(E)}{n(S)} = \dfrac{x}{10}\)

This needs to be equal to 0.3, thus,

\(0.3 = \dfrac{x}{10}\\x = 3\)

Thus, the count of the sections the class should label as "Chocolate Ice Cream" is 3.

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