What is meant by the included angle in SAS congruence theorem?

Answer:

Angle E

Step-by-step explanation:

It has the shortest side so therefore it has the shortest angle as well

Answer:

x = 31

Step-by-step explanation:

8 + 2x - 12 = 58

Combine like terms to make math easier:

-4 + 2x = 58

Then do math:

(-4 + 4) 2x = 58 + 4

2x = 62

2x/2 = 62/2

x = 31

Answer:

The answer is DE

Step-by-step explanation:

I learned about it in school.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

Given that, a circle, with center O, represents a radius of the circle.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

Here, DO and OC is the radius of a circle with center O.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

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Answer:

35 days

Step-by-step explanation:

A = 14 days

It means per day, work done by A= 1 / 14

A+B = 10 days

Work done by A and B per day = 1 / 10

In what time can B alone do the work?

To solve this, we have

A+B = A alone + B alone

1/10 = 1/14 + B alone

Subtract 1/14 from both sides

1/10 - 1/14 = 1/14 + B alone - 1/14

14-10/140 = B alone

4/140 = B alone

B alone= 1 / 35

Work done of B alone = 1/35

B alone will do the work in 35 days

Answer:

35 days.  

Step-by-step explanation:

A can do the work in 14 days: per day work done by A=1/14

A and B can do the work in 10 days: per day work done by A and B=1/10

Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.

So, B takes 35 days.

Answer:

t < 6

Step-by-step explanation:

-2t > -12   divide by -2 to get

Answer:

It is -3 degrees Celsius per 1 hour

Step-by-step explanation:

Answer:

it would take 8 hours brainlieast please

Step-by-step explanation:

Therefore, the line integral is:

∫c xy^4 ds = 125∫[0,pi] cos(t)sin^4(t) dt = 125(48/5) = 1200

The right half of the circle x^2 + y^2 = 25 can be parameterized as c(t) = (5cos(t), 5sin(t)) for t in [0, pi], where the orientation is counterclockwise.

The line integral of xy^4 along c is given by:

∫c xy^4 ds = ∫[0,pi] xy^4 ||c'(t)|| dt

where ||c'(t)|| is the magnitude of the derivative of c with respect to t.

We have:

c'(t) = (-5sin(t), 5cos(t))

||c'(t)|| = sqrt[(-5sin(t))^2 + (5cos(t))^2] = 5sqrt(sin^2(t) + cos^2(t)) = 5

So the line integral becomes:

∫c xy^4 ds = ∫[0,pi] xy^4 ||c'(t)|| dt

= 5∫[0,pi] 25cos(t)sin^4(t) dt

= 125∫[0,pi] cos(t)sin^4(t) dt

To evaluate this integral, we can use integration by substitution. Let u = sin(t), then du/dt = cos(t) and dt = du/cos(t). So we have:

∫cos(t)sin^4(t) dt = ∫u^4 du/cos(t) = ∫u^4 sec(t) du

We can evaluate this integral as follows:

∫u^4 sec(t) du = sec(t)u^5/5 - 2/5 ∫u^2 sec(t) du

= sec(t)u^5/5 - 2/5 tan(t)u^3/3 + 4/15 ∫u^2 du

= sec(t)u^5/5 - 2/5 tan(t)u^3/3 + 2/5 u^3 + C

where C is the constant of integration.

Substituting back u = sin(t) and integrating over [0,pi], we obtain:

∫[0,pi] cos(t)sin^4(t) dt

= [sec(t)u^5/5 - 2/5 tan(t)u^3/3 + 2/5 u^3]_0^pi

= (0 - 0 + 2/5(5^3)) - (1/5 - 0 + 0)

= 48/5

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Answer:

I'm going to calculate with sides 28 m

4,900 tiles used

Step-by-step explanation:

Area restaurant 28x28 = 784 m squared

each tile 40 cm = 0.4m

area of tile 0.4x0.4 =0.16

784/0.16 = 4,900

Answer:

D

Step-by-step explanation:

f(x)=/x+0.5/

I hope it helps

The length of the rectangle is 23 km and the width of the rectangle is 15 km.

A rectangle is 8 km longer than it is wide.

Its area is 345 sq-km.

Let the width of the rectangle is x.

The length is 8 km longer than the width.

So the width of the rectangle is x + 8 km.

The formula of the area of rectangle is:

A = length × width

We know A = 345 sq-km.

Now putting the value

x × (x + 8) = 345

Now simplifying

x^2 + 8x = 345

Subtract 345 on both side, we get

x^2 + 8x - 345 = 0

Now factor the equation

x^2 + (23 - 15)x - 345 = 0

x^2 + 23x - 15x - 345 = 0

x(x + 23) - 15(x + 23) = 0

(x - 15)(x + 23) = 0

Now equation the factor equal to zero.

x - 15 = 0           or             x + 23 = 0

x = 15                or              x = -23

Since the dimension of the rectangle can't be negative. So

The width of the rectangle is 15 km.

Now we determine the value of length

x + 8 = 15 + 8 = 23

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Answer:

Step-by-step explanation:

Life in the mid-1800s was marked by widespread prejudice and discrimination against minority groups, including immigrants and African Americans. The period was also characterized by a series of famines that led to significant suffering and mortality. Nativist movements gained popularity, promoting the interests of those born in the United States over those of immigrants. At the same time, millions of emigrants left their homes in search of better opportunities in America, despite the obstacles they faced upon arrival.

Answer:

(if you would like a short one/ still need help)

Nativists we’re prejudice and discriminatory towards Irish emigrants who had come to the United States after the events of the Irish Potato Famine

hope this helps :)

Answer:

88cm^2

Step-by-step explanation:

Area of the rectangle: base x height

Area of parallelogram: base x height

Area of the shaded part: area of rectangle -area of parallelogram:

12x10-4x8=120-32=88

The following probabilities are found under the condition that  a certain national survey of heads of households P(woman asked for a promotion) = 24%, P(woman received promotion, given she asked for one) = 45%, P(woman asked for promotion and received raise) = (24% x 45%) = 10.8%

Now,
Regarding  a national survey concerning the head od households,  only 24% of women interviewed had requested for a promotion and of those women who had asked for a promotion, 45% received the raise.

Therefore,

(a) P(woman asked for a promotion) = 24%
(b) P(woman received promotion, given she asked for one) = 45%
(c) P(woman asked for promotion and received raise) = (24% x 45%) = 10.8%

Probability refers to the percentage of an event taking place in a required time frame, in a specified place. It is considered a great aid in the fields of science and mathematics.

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The null hypothesis cannot be rejected at the .01 level, it means that the p-value is greater than .01.

In a given hypothesis test, if the null hypothesis can be rejected at the .10 and .05 levels of significance, but cannot be rejected at the .01 level, the most accurate statement about the p-value for this test is that it is greater than .01.

The p-value is the probability of observing the data or more extreme results, assuming that the null hypothesis is true. When the p-value is less than the chosen level of significance (e.g. .05), we reject the null hypothesis.

However, if the p-value is greater than the level of significance (e.g. .01), we fail to reject the null hypothesis.

In this case, since the null hypothesis cannot be rejected at the .01 level, it means that the p-value is greater than .01.

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Answer:

1,044(sqrd)

Step-by-step explanation:

18*18=324cm(sqrd)

18*20= 320

320/2= 180cm(sqrd)

180*4= 720cm(sqrd)

720+324= 1,044(sqrd)

Answer:

4c-20= 4

+20  +20

4c= 24

/4 /4

c= 6

Answer:

c = 1 btw can i be brainiest...

Step-by-step explanation:

First, rewrite the left side of the equation and group and combine like terms:

c + (4 − 3c) − 2 = 0

c + 4 − 3c − 2 = 0

−3c + c + 4 − 2 = 0

−3c + 1c + 4 − 2 = 0

(−3 + 1) c + (4 - 2) = 0

−2c + 2 = 0

Next, subtract

2

from each side of the equation to isolate the

c

term while keeping the equation balanced:

−2c + 2 − 2 = 0

−2 − 2c + 0 = −2

−2c = −2

Now, divide each side of the equation by

−2

to solve for

c

while keeping the equation balanced:

−2c - 2 = −2 − 2

−2c − 2 = 1

c = 1

Gas left after 2 hours is 1.5 gallons and the function that represent the gas which is left in the tank after driving for t hours is 13 - 0.75t gallons.

Zoe is driving on a long road trip.

The amount of gas she has in her car = 13 gallons.

It is given that each hour that she drives,  functions her car uses up 0.75 gallons of gas.

So, Gas used in the car for one hour = 0.75 gallons

Gas used in the car for two hours = 0.75*2 =  1.5 gallons

Hence, Gas left in the tank after driving for 2 hours = 13 - 1.5 = 11.5 gallons.

Now,functions

Gas used in the car for t hours = 0.75*t =  0.75t gallons

Gas left in the tank after driving for t hours = 13 - 0.75t gallons.

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Answer:

D

Step-by-step explanation:

It is on the positive side of the graph and the point is on 3,1

Answer:

-1

2

4

Step-by-step explanation:

You have to replace x with each number that is given, follow the order of operations, and then you have the correct y value.

Answer: There are 10 different values possible for the random variable x.

Step-by-step explanation:

In this modified problem, the probability of rolling each number is different from a standard fair die. To determine how many different values are possible for the random variable x, we can use the fact that the maximum sum of three rolls is 18 (if all three rolls are 6s), so x cannot be greater than 18.

To find the possible values for x, we can use a probability tree or a table to list all possible outcomes and their probabilities. Here is a table listing the possible values for x and their probabilities:

x Probability

1 0.4

2 0.49

3 0.581

4 0.6639

5 0.73951

6 0.809561

7 0.8746051

8 0.93414459

9 0.987730103

10 1

To calculate these probabilities, we can use the following recursive formula:

P(x=1) = P(sum=1) = 0.1

P(x=k) = P(x=k-1) * (1 - P(sum≤k-1)), for k = 2 to 9

P(x=10) = 1 - P(sum≤9)

Here, P(sum≤k) is the probability of the sum of the first k rolls being less than or equal to 3. We can calculate this probability recursively as well:

P(sum≤1) = P(1) = 0.1

P(sum≤k) = P(sum≤k-1) + P(k), for k = 2 to 18

Here, P(k) is the probability of rolling a k, which is given in the problem statement.

Using these formulas, we can calculate the probabilities for each value of x and list them in the table above. We can see that there are 10 possible values for x, ranging from 1 to 10.

Therefore, there are 10 different values possible for the random variable x.

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Since p(1) is true, by induction we conclude that p(n) is true for all positive integers n.

To prove the predicate p(n) by induction, we need to show that it is true for the base case n = 1, and that if it is true for some positive integer k, then it is also true for k+1.

Base case:

When n = 1, we have 2n - 1 = 1 player. In this case, there is no pairwise-distance, so the predicate p(1) is vacuously true.

Inductive step:

Assume that p(k) is true for some positive integer k. That is, whenever 2k - 1 players stand at distinct pairwise-distances and play arena dodgeball, there is always at least one survivor.

We will show that p(k+1) is also true, that is, whenever 2(k+1) - 1 = 2k + 1 players stand at distinct pairwise-distances and play arena dodgeball, there is always at least one survivor.

Consider the 2k+1 players. We can group them into two sets: the first set contains k players, and the second set contains the remaining player. By the pigeonhole principle, at least one player in the first set is at a distance of d or greater from the player in the second set, where d is the smallest pairwise-distance among the k players.

Now, remove the player in the second set, and consider the remaining 2k - 1 players in the first set. Since p(k) is true, there is always at least one survivor among these players. This survivor is also a survivor among the original 2k+1 players, since the removed player is farther away from all of them than the surviving player.

Therefore, we have shown that if p(k) is true, then p(k+1) is also true. Since p(1) is true, by induction we conclude that p(n) is true for all positive integers n.

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The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.

The bottleneck time is the longest time it takes to complete any task in the assembly line. In this case, the longest time needed is 10, which is the last station. This means that all the other tasks must be completed within 10 seconds in order for the entire assembly line to proceed.

The bottleneck time is 10. This is the longest time it takes to complete any task in the assembly line, and all the other tasks must be completed within this time frame.

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Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

Bottom right

Step-by-step explanation

Answer:

first answer is correct

Answer:The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step explanation:Using PEMDAS which means (Parenthesis, Exponts, Mutliply, Divide, Add, and Subtract) The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

its d

Step-by-step explanation:

because if 12 times 12 is 34 then add that to 15 and u get 52

Answer:

The Answer is A, to stop poor pay and dangerous working conditions