What is the area of the trapezoid?Round to the nearest hundredth.

Answer:

i think its B or A

Step-by-step explanation:

Hello!

The product of something is the outcome of ADDITION.

This means we will have to add 7 and 13.

7+13=20.

It says the subtract 18.

20-18=2.

2 is your answer!!
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this is a pretty simple concept so I hope you understood. just remember product=addition. much love!! <3

Answer:

10 and 40

Step-by-step explanation:

Find the prime factorization of 10

10 = 2 × 5

Find the prime factorization of 40

40 = 2 × 2 × 2 × 5

Multiply each factor the greater number of times it occurs to find the LCM:

LCM = 2 × 2 × 2 × 5

LCM=40

Answer:

Step-by-step explanation:

Answer:

17 and 13

Step-by-step explanation:

So you can set up an equation:

let x be the greater number

this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.

The sum is 30, so x + (x - 4) = 30

Then, solve:

x + (x - 4) = 30

x + x - 4 = 30

combine like terms

2x - 4 = 30

add 4 to both sides

2x = 34

divide both sides by 2

x= 17

Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.

The numbers are 17 and 13

There are 39 elements in the intersection of the two sets.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Union: -

If set A and set B are two sets, then A union B is the set that contains all the elements of set A and set B. It is denoted as A ∪ B.

Example: Set A = {1,2,3} and B = {4,5,6}, then A union B is:

A ∪ B = {1,2,3,4,5,6}

Intersection:-

If set A and set B are two sets, then A intersection B is the set that contains only the common elements between set A and set B. It is denoted as A ∩ B.

Example: Set A = {1,2,3} and B = {4,5,6}, then A intersection B is:

A ∩ B = { } or Ø

Since A and B do not have any elements in common, so their intersection will give null set.

P(AUB) = P(A) + P(B) - P(A∩B)

Here, P (A) = the number of elements in the set A and so on.

We know that:

                     P (A)= 67

                     P (B)= 72

and                P (AUB) = 100

So, we can solve for the number in the intersection i.e.                     P(A∩B) = P(A) + P(B) - P(AUB)

P(A∩B) = 67 + 72 - 100

P(A∩B) = 139 - 100

P(A∩B) = 39.

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Given SV = 15, UV = 30, and RS = 55, we found TV by using the fact that triangles TRU and SUC are similar. The length of TV is 110.

In the given diagram, we have a triangle TRS with a line UV that is parallel to the base RS. We are given that SV = 15, UV = 30, and RS = 55, and we need to find the length of TV.

To find TV, we can use the fact that UV is parallel to RS, which means that triangles TRU and SUV are similar.

Using the similarity of triangles TRU and SUC, we can set up the following proportion

TV / RS = UV / SV

Substituting the given values

TV / 55 = 30 / 15

Simplifying

TV / 55 = 2

Multiplying both sides by 55

TV = 110

Therefore, the length of TV is 110.

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If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

Given,

The total amount you had = $150

The amount you spend in each day = $2

Consider the number of days = x

Then the algebraic expression for this situation is 150-2x

Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

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Answer:

r= square root of A /π

Step-by-step explanation:

to find the radius with the area

use the formula square root of area/pi

The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

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When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.

In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.

To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.

Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.

The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.

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Answer:

Undefined or Infinity

Step-by-step explanation:

(x1,y1)=(-11,8)

(x2,y2)=(-11,-17)

Slope = (y2-y1)/(x2-x1)

= (-17-8)/(-11-(-11))

= -25/0

= Undefined

Answer:

the answer should be

\(12 \sqrt{2} \)

Step-by-step explanation:

the shorter leg of a right triangle (in this case it would be BC) is always half the value of the longest side, AB. So if AB is 24\/2, half of that should be 12\/2. So, since BC =X, then X=12\/2.

hope this made sense

Answer:

<8=66°

Step-by-step explanation:

2 angles on a straight line will add up to 180° so

180-114=66.

<8,<4, <1, <5 all equal 66° since vertical angles are equal

Answer:

Step-by-step explanation:

Trigonometry is a branch of mathematics that relates the measures of sides and angles in a triangle. The various trig functions of an angle are defined in terms of the sides of a right triangle containing that angle. Consequently, the Pythagorean theorem can be used to relate certain trig functions to each other, and to obtain formulas for the sum and difference of angles.

The Pythagorean theorem relates side measures in right triangles. For relating side measures to each other or to angles in non-right triangles, one or both of the Law of Sines and the Law of Cosines must be used.

  both b) and c)

The Law of Sines relates side lengths and the sines of angles. Knowing three side lengths tells you nothing about the angles except the ratio of their sines.

The Law of Cosines relates three side lengths and one angle. Knowing the three side lengths, the angle measure can be found.

There is no Tangent Law.

Trigonometry is a calculation tool, not a measuring tool. As such, it allows calculation of angles and sides (of a triangle) that cannot be physically measured.

Paintings benefit greatly from rules of proportion and perspective. In general, trigonometry is not directly involved. (Computer-generated art may implement these rules of perspective using trigonometry. Paintings, in general, make no direct use of trigonometry.)

Twice the sum of a number and 5 is 2(n+5).

We have given that,

Twice the sum of a number and 5

we have to determine the phrase into a variable expression.

A variable expression (or) an algebraic expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Therefore the sum of a number 5 is (n+5)

and twice the sum of a number and 5 is 2(n+5).

Therefore option A is correct.

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Answer:

$36.42 or $36.72

Step-by-step explanation:

different answers depends on order

Answer:

-------------------

The volume of a pyramid is 1/3 of the product of the base area and height.

Find the area of the base:

The base is the square, so each side is the square root of the base area:

The perimeter of the base is:

Answer: 48 inches

Step-by-step explanation:

480*3=1440

1440/10=144

each side: 12

12*4=48 inches

Answer:

(1, 24 )

Step-by-step explanation:

Substitute any value of x into the equation and evaluate for y

x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then

(1, 24 ) is a a solution to the equation

Answer:

10

Step-by-step explanation:

a1=2

a=2

an=-5an-1+3

plug in

(2)5=10

The expected value of the ratio (W5 - W4)/W4 is 4.

We know that the inter-arrival times between customers are exponentially distributed with a mean of 12 minutes. Let's use this information to solve the given problems:

The arrival time of the third customer is given by W3 = S1 + S2 + S3, and the arrival time of the fifth customer is given by W5 = S1 + S2 + S3 + S4 + S5. Therefore, Q = W3/W5 = (S1 + S2 + S3)/(S1 + S2 + S3 + S4 + S5).

We can use the fact that the sum of exponential random variables with the same rate parameter is a gamma random variable with shape parameter equal to the number of exponential random variables and rate parameter equal to the rate parameter of each exponential random variable. Therefore, S1 + S2 + S3 is a gamma random variable with shape parameter 3 and rate parameter 1/12, and S1 + S2 + S3 + S4 + S5 is a gamma random variable with shape parameter 5 and rate parameter 1/12.

Hence, Q is a ratio of two gamma random variables with known shape and rate parameters. We can use the properties of the gamma distribution to find the expectation of Q as:

E[Q] = E[(S1 + S2 + S3)/(S1 + S2 + S3 + S4 + S5)]

= E[(1/Gamma(3, 1/12))/(1/Gamma(5, 1/12))]

= E[(Gamma(5, 1/12)/Gamma(3, 1/12))]

= (5/3) * (1/3)

= 5/9

Therefore, the expected value of the ratio Q is 5/9.

Using similar reasoning as in part 1, we can write (W5/W3) as (S1 + S2 + S3 + S4 + S5)/(S1 + S2 + S3), which is a ratio of two gamma random variables with known shape and rate parameters. Therefore, we can find the expected value of this ratio as:

E[W5/W3] = E[(S1 + S2 + S3 + S4 + S5)/(S1 + S2 + S3)]

= E[(1/Gamma(5, 1/12))/(1/Gamma(3, 1/12))]

= E[(Gamma(3, 1/12)/Gamma(5, 1/12))]

= (3/5) * (1/3)

= 1/5

Therefore, the expected value of the ratio W5/W3 is 1/5.

Using the same approach, we can write (W5 - W4)/W4 as (S5 - S4)/(S1 + S2 + S3 + S4). This is a ratio of two gamma random variables with known shape and rate parameters. Therefore, we can find the expected value of this ratio as:

E[(W5 - W4)/W4] = E[(S5 - S4)/(S1 + S2 + S3 + S4)]

= E[(1/Gamma(1, 1/12))/(1/Gamma(4, 1/12))]

= E[(Gamma(4, 1/12)/Gamma(1, 1/12))]

= 4

Therefore, the expected value of the ratio (W5 - W4)/W4 is 4.

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Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

Answer:

Step-by-step explanation:

elastic, inelastic, inelastic

Answer: elastic, inelastic, inelastic

Step-by-step explanation:

Answer:

<C = 45 degrees.

Step-by-step explanation:

This is a right triangle (indicated by the square representing <A). All angles in a triangle add up to 180 degrees

180 - 90 is 90. Knowing that there are only two angles left, you can divide 90 by 2, resulting in 45.

<C = 45.

The measure of the larger acute angle of the right triangle is 73.7°. This can be calculated using trigonometry and the Pythagorean theorem.

The larger acute angle of the triangle can be found using trigonometry. First, we can find the length of the other leg using the Pythagorean theorem: a² + b² = c², where c is the hypotenuse and a and b are the legs. Plugging in the values we get: 4² + b² = 12², solving for b we get b = √(12² - 4²) = 8√3. Now we can use inverse tangent to find the larger acute angle: tan⁻¹(opposite/adjacent) = tan¹⁽⁸√³/⁴⁾ ≈ 73.7°. So, the measure of the larger acute angle is 73.7°.

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Answer:

sin (x) ≥ 0, between 0° and 180° or 0 and π,

sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6

Step-by-step explanation:

This is how I would do it. Subtract sin(x) from both sides

2\(sin^{2} (x)\) - sin(x) ≥ 0 , then factor out sin(x)

sin(x) [2 sin(x) - 1] ≥0, then set each factor ≥ 0

sin(x) ≥ 0 and 2 sin(x) - 1 ≥ 0

sin (x) ≥ 0, between 0° and 180° or 0 and π

2 sin(x) ≥ 1

sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6

A true conditional statement consists of a hypothesis and a conclusion, where the conclusion logically follows from the hypothesis. In order for a conditional statement to be true, both the hypothesis and the conclusion must be true.

Here is an example of a true conditional statement with a correctly identified hypothesis and conclusion:

"If it is raining, then the ground is wet."

Hypothesis: "It is raining."
Conclusion: "The ground is wet."

In this example, the hypothesis is the condition that must be true for the conclusion to be true. If it is indeed raining, then it follows logically that the ground would be wet. Therefore, this conditional statement is true.

It's important to note that not all conditional statements are true. For example, the statement "If it is raining, then the ground is dry" would be false, as it contradicts the logical connection between rain and a wet ground.

In summary, a true conditional statement includes a correctly identified hypothesis and conclusion, where the conclusion logically follows from the hypothesis.

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To find quantity divide total length by cut length:

118.25 / 2.15 = 55 pieces

Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

Velocity is distance divided by time, that is:

v = d/t.

For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:

10 = d/t

d = 10t.

For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:

50 = (500 - d)/(22 - t).

Since d = 10t, and applying cross multiplication:

500 - 10t = 50(22 - t)

500 - 10t = 1100 - 50t

40t = 600

t = 600/40

t = 15.

22 - t = 22 - 15 = 7, hence:

She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

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