Find the perimeter of the following triangle. Round your answer to the nearest hundredth. Help plzzz!!! ill give brainletist

Answer:

16.7°

Step-by-step explanation:

We solve this using the Cosine rule formula

​From the question we have

Side a = 14

Side b = 15

Side c = ?

We are given Angle C = 70°

Hence,

c² = a² + b²− 2ab cos(C)

Hence,

c² = 14² + 15² - 2(14 × 15) × cos (70°)

c =√[ 14² + 15² - 420 × cos (120°)]

c = 16.65387 °

Approximately to the nearest tenth

c = 16.7°

Answer:

a = 9, a = 0

Step-by-step explanation:

a1 can be solved without factoring:

a is also 0 since both sides only contain single terms with the same variable. This can too be found by subtracting 9a to the left side and factoring!

The sampling technique used to obtain the described sample is A. Systematic sampling.

In systematic sampling, the elements of the population are ordered in some way, and then a starting point is randomly selected. From that point, every nth element is selected to be part of the sample.

In the given scenario, the first 35 students leaving the library were selected. This suggests that the students were ordered in some manner, and a systematic approach was used to select every nth student. Therefore, the sampling technique used is systematic sampling.

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Correlation is a bi-variate analysis that measures the strength of association between two variables and the direction of the relationship.

What is bi-variate analysis?

Bivariate analysis is one in every of the only kinds of quantitative (statistical) analysis. It involves the analysis of 2 variables (often denoted as X, Y), for the aim of deciding the empirical relationship between them.

Main Body:

The correlation coefficient's value ranges from +1 to -1. the entire degree of correlation between the 2 variables is indicated by a worth of one. The association between the 2 variables are weaker because the parametric statistic price approaches zero.

Hence correlation investigate linear association between two variables.

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The ordered pairs at which the graph of f(x) crosses the negative x-axis are given as follows:

(-6,0) and (-5,0).

The quadratic function for this problem is given as follows:

f(x) = 0.5x² + x - 9.

The coefficients are given as follows:

a = 0.5, b = 1, c = -9.

The discriminant is given as follows:

1² - 4(0.5)(-9) = 19.

Then the negative root is given as follows:

\(\frac{-1 - \sqrt{19}}{2(0.5)} = -5.35\)

Which is between x = -6 and x = -5, hence the ordered pairs are given as follows:

(-6,0) and (-5,0).

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Answer:

K=8.6

Step-by-step explanation:

In a //gram the consecutive angles add up to 180.

So you can set WRD+RDN=180 and then solve for k given the two equations.

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

12

Step-by-step explanation:

area of a rectangle is equal to one side multipyed by the other one

here we have an area and one side so only thing we have to do is divide area by the side we have and we will get the other side (lenght)

:)

r = 60 gallons ÷ 5 min. = 12 gallons per minute

\(60 \div 5 = 12 \: gallons \: per \: minute\)

Hope that will help:)

Answer:

105

Step-by-step explanation:

You need the least common multiple of the 4 numbers. Since 3, 5, and 7 are prime numbers, the answer is their product.

LCM = 3 * 5 * 7 = 105

The least positive integer that is divisible by each of 1, 3, 5, and 7 is 105.

In order to solve the question, we simply have to find the lowest common multiple that is applicable to all the numbers that are given on the question.

In this case, the lowest common multiple can be gotten by multiplying the numbers be high will be:

= 1 × 3 × 5 × 7 = 105

Therefore, the number is 105.

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Answer:

1.2

Step-by-step explanation: Hope it helps

Answer:

m∠JTS = 104° ⇒ (A)

Step-by-step explanation:

The measure of an exterior angle of a triangle at one of its vertices equals the sum of the measures of the opposite interior angles.

Let us use this fact to solve the question

In ΔTSR

∵ T ∈ ray RJ

∴ ∠JTS is an exterior angle of ΔTSR

→ By using the fact above

∴ ∠TSR and ∠TRS are the opposite interior angles to ∠JTS

∴ m∠JTS = m∠TSR + m∠TRS

∵ m∠JTS = 27x - 4

∵ m∠ TSR = 30°

∵ m∠TRS = 18x + 2

→ Substitute their values in the equation above

∴ 27x - 4 = 30 + 18x + 2

→ Add the like terms in the right side

∴ 27x - 4 = 18x + 32

→ Add 4 to both sides

∴ 27x = 18x + 36

→ Subtract 18x from both sides

∴ 9x = 36

→ Divide both sides by 9

∴ x = 4

→ To find m∠JTS substitute x by 4 in its measure

∴ m∠JTS = 27(4) - 4 = 108 - 4

∴ m∠JTS = 104°

Answer:

If you want it as the previous number without being a percent you just have to multiply the percent by 100 to get the previous amount. For example:-

to convert 30% to a number put in a fraction form and multiply it by 100

\(\frac{30}{100}*100=\frac{3000}{100}=30\) You can find the previous value of any percent by doing this.

Step-by-step explanation:

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Theoretical flow time = 58 minutes

The complete question is

Mamossa Assaf Inc. fabricates garage doors. Roofs are punched in a roof punching press (15 minutes per roof) and then formed in a roof forming press (8 minutes per roof). Bases are punched in a base punching press (3 minutes per base) and then formed in a base forming press (10 minutes per base), and the formed base is welded in a base welding machine (12 minutes per base). The base sub-assembly and the roof then go to final assembly where they are welded together (10 minutes per https://brainly.com/question/27786618garage) on an assembly welding machine to complete the garage. Assume one operator at each station.

Roof → Roof - punch(15 min) → Roof-form(8 min) →→→→→→→→↓

                                                                                      (10)Assembly→ Door

Base → Base - punch(3 min) → Base - form(10 min) → weld(12 min)↑

Roof path = 15 + 8 = 23

Base path = 3 + 10 + 12 =25

Theoretical flow time = Roof path + base path + assembly = 23 + 25 +10 = 58 mins

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Answer:

The slope is 1/3

Minimizing curve C is a helix, described by the equation :

C(t) = (a cos(t), a sin(t), C exp(-cot(t)) + h)

To express the length L(p) of curve C in terms of p, we can use the formula for the length of a curve in cylindrical coordinates. In cylindrical coordinates, the arc length element ds can be given by:

ds² = dr² + r² dt² + dz²

Since dr = 0 (as r = a is constant along the curve C), and dt = -a sin(t) dt (from the parametrization), we have:

ds² = a² sin²(t) dt² + dz²

Integrating ds over the curve C from t = 0 to t = tmax, we get:

L(p) = ∫[0,tmax] √(a² sin²(t) + p'(t)²) dt

where p'(t) denotes the derivative of p(t) with respect to t.

To find the differential equation for the function p(t) that minimizes L(p), we can apply the Euler-Lagrange equation of the calculus of variations. The Euler-Lagrange equation is given by:

d/dt (dL/dp') - dL/dp = 0

Differentiating L(p) with respect to p' and p, we have:

dL/dp' = 0 (since p does not appear explicitly in L(p))

dL/dp = d/dt (dL/dp') = d/dt (a² sin²(t) p'(t) / √(a² sin²(t) + p'(t)²))

Using the chain rule, we can simplify the expression:

dL/dp = (a² sin²(t) p''(t) - a² sin(t) cos(t) p'(t)²) / (a² sin²(t) + p'(t)²)^(3/2)

Setting the Euler-Lagrange equation equal to zero, we get:

(a² sin²(t) p''(t) - a² sin(t) cos(t) p'(t)²) / (a² sin²(t) + p'(t)²)^(3/2) = 0

Simplifying further, we have:

p''(t) - (sin(t) cos(t) / sin²(t)) p'(t)² = 0

This is the differential equation that the function p(t) must satisfy to minimize L(p).

To solve this differential equation, we can make the substitution u = p'(t). Then the equation becomes:

du/dt - (sin(t) cos(t) / sin²(t)) u² = 0

This is a separable first-order ordinary differential equation. By solving it, we can obtain the solution for u = p'(t). Integrating both sides and solving for p(t), we get:

p(t) = C exp(-cot(t)) + h

where C is a constant determined by the initial condition p(0) = 0, and h is the value of p at t = tmax.

Therefore, the minimizing curve C is a helix, described by the equation :

C(t) = (a cos(t), a sin(t), C exp(-cot(t)) + h)

where C is a constant determined by the initial condition, and h is the value of p at t = tmax.

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Answer:

You have lived about 64857142.86 lives

Step-by-step explanation:

If you do 4.54 billion (the age of the earth) / 70 (the average life span) you get 64857142.8571. And If we round it to the nearest 100th we get 64857142.86.

If two angles are complementary, then they cannot be congruent. This statement is true. Complementary angles are two angles whose sum is 90°. They do not have to be equal in measure.

On the other hand, congruent angles are angles with equal measure.What are complementary angles?Two angles are said to be complementary when they add up to 90 degrees. This means that the sum of the measures of these angles is 90 degrees.

The measures of complementary angles need not be equal.What are congruent angles? Congruent angles are two or more angles with the same measure. In other words, they have the same angle measurement.

Hence, if two angles are congruent, it means they are exactly equal in measure. If two angles are complementary, they cannot be congruent.

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Answer:

They are equal.

Step-by-step explanation:

In my opinion 1/3 is grater because three 1/3's makes a whole. 30% three times is only 90% of the whole.

Answer: R =  (-2,0) S = (-9,0)

Answer:

I didn't know kindergardeners had Brainly.

Answer:

AA Similarity

Step-by-step explanation:

Since they both share angle x and since angle YZX is equal to ABX from parallel lines, triangle ABX is similar to YZX from AA similarity.

the 165 different committees are possible in combination.

What is combination?

If the order of the selections is unimportant, a combination is a mathematical choice made from a collection of various elements (unlike permutations). An apple and a pear are just one of three conceivable combinations if three fruits, such as an orange, an apple, and a pear, are provided. A k-combination of a set S is, technically speaking, a subset of the k distinctive elements of S. Alternatively said, two combinations are identical if and only if they have the same members. (How each set's members are ordered is not crucial.) the number of k-combinations given a set of n elements

That would be equal to the Combinations of 11 items taken 3 at a time.

C(n , k) = n!/[k!(n - k)!]

= 11!/[3!*(11 - 3)!]

= 11!/(3!*8!)

= 11*10*9/3*2

= 15*11

=165

Hence the 165 different committees are possible in combination.

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Answer:  A. 10 in

Step-by-step explanation:Divide 800 by 80.

Answer:

i got my answer deleted but the answer is 10 srry :(.

Step-by-step explanation:

A fancy rug in the shape of a trapezoid has an area of 800 square inches and the sum of the lengths of its parallel sides is 80 inches. What is the height of the rug?

800 / 80 = 10

Answer:

C

Step-by-step explanation:

calculate the slope m of the 2 points from the origin and equate, since they lie on the same line

m = \(\frac{y_{2}-y_{1} }{x_{2-x_{1} } }\)

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, k )

m = \(\frac{k-0}{2-0}\) = \(\frac{k}{2}\)

repeat with

(x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = k, 32 )

m = \(\frac{32-0}{k-0}\) = \(\frac{32}{k}\)

equating the 2 slopes

\(\frac{k}{2}\) = \(\frac{32}{k}\) ( cross- multiply )

k² = 64 ( take square root of both sides )

k = \(\sqrt{64}\) = 8

Answer:

option D; 20/3 OR 6 2/3

Step-by-step explanation:

CONVERT THE HOURS INTO MINUTES;

3/4 × 60 = 45 mins

1hour = 60 mins

45 mins = 5 miles

60 mins = ??

cross multiply;

60 by 5 ÷ 45 to get 20/3.

The correct choice is option A. An increasing function is a function that maps any two elements in the function's domain and produces results in the range in such a way that if \($a < b$\), then \($f(a) \leq f(b)$\)and the function values increase as the inputs increase.

It can also be defined as a function whose derivative is positive throughout its domain. Thus, a function is increasing on the interval \($I$ if $f(x_1) < f(x_2)$\) whenever \($x_1 < x_2$ and $x_1$\)and \($x_2$\)both belong to \($I$\).

The function is increasing on the open interval \($(-\infty, 1)$\). Let's suppose that the given function is $f(x)$. Then, we can take the first derivative of $f(x)$ and set it to be greater than zero\(:$f'(x) = 2x - 1 > 0$$x > 1/2$\)This inequality means that $f(x)$ is increasing for all $x$ greater than \($1/2$\).Thus, we can say that \($f(x)$\)is increasing on the interval \($(1/2, \infty)$.\)

This interval is not open, as it includes the endpoints \($1/2$\)and infinity. Thus, we need to refine our interval and exclude these endpoints. We can do this by considering the open interval $(-\infty, 1)$.

On this interval, \($f'(x) < 0$, so $f(x)$\) is decreasing. as we move past \($1/2$, $f'(x) > 0$ and $f(x)$\) starts increasing. Thus, the function is increasing on the open interval \($(-\infty, 1)$\).Therefore, option A is the correct choice.

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The expected time taken by the man to leave the maze is 15 minutes.

To find the expected time taken by the man to leave the maze, we'll first calculate the conditional expectation of time taken given that he chose each of the exits, and then use these conditional expectations to calculate the overall expectation.

Step 1: Calculate the conditional expectations :
- If he chooses Exit 1 (probability 1/3), he leaves the maze after 3 minutes.
- If he chooses Exit 2 (probability 1/3), he returns to the same room after 5 minutes and starts again. So, the expected time in this case is 5 + E(X).
- If he chooses Exit 3 (probability 1/3), he returns to the same room after 7 minutes and starts again. So, the expected time in this case is 7 + E(X).

Step 2: Calculate the overall expectation :
E(X) = (1/3)*(3) + (1/3)*(5 + E(X)) + (1/3)*(7 + E(X))

Now, we'll solve for E(X):
3E(X) = 3 + 5 + 7 + 2E(X)
E(X) = 15 minutes

The expected time taken by the man to leave the maze is 15 minutes.

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According to the problem, there are three possible exits (1, 2, and 3) from the room in the center of the maze. The probabilities of choosing each of these exits are equal.

Exit 1 leads to the outside of the maze, and it takes 3 minutes on average to reach it. Exit 2 leads back to the same room, so the man will need to start over again. Exit 3 also leads back to the same room, and it takes longer than exit 2 to get there (7 minutes).Let X be the time taken by the man to leave the maze from this room. Let Y be the exit he chooses first. Y belongs to {1, 2, 3}. Calculate the conditional expectation of the time taken to leave the maze given that he chose each of the exits. Then use these conditional expectations to calculate the expectation of the time taken to leave the maze.The expected value of X can be calculated as follows:() = ( | = 1) × ( = 1) + ( | = 2) × ( = 2) + ( | = 3) × ( = 3)Expected time to leave the maze through exit 1:( | = 1) = 3Expected time to leave the maze through exit 2:( | = 2) = 5 + ()Expected time to leave the maze through exit 3:( | = 3) = 7 + ()The probability of choosing each exit is 1/3, so:P(Y = 1) = 1/3P(Y = 2) = 1/3P(Y = 3) = 1/3Substituting these values into the equation for ():() = 3(1/3) + (5 + ())(1/3) + (7 + ())(1/3)() = 5 + (2/3)() + (7/3)()() = 15 minutes. Therefore, the expected time taken by the man to leave the maze is 15 minutes.

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Answer:

(b) {1, 2, 3, 4, 5, 6, 7, 8}

Explanation:

In this problem, we use the variable c to represent the independent quantity.  This means that the domain is all possible values for c.

Since the store only has 8 cases of water, the domain cannot be any number larger than 8.

Since the store only sells complete cases, not partial cases, of water, the domain cannot be a fraction or decimal number.

This means that the practical domain, or domain that makes sense for the problem situation, is {1, 2, 3, 4, 5, 6, 7, 8}.

Answer:

All real numbers from 1 to 8, inclusive

Step-by-step explanation: