Please help me I can’t do it and don’t add links Three sides of a quadrilateral are the same length q.the length of the fourth side is 7 inches the Preimeter of the quadrilateral is 40 inches write an expression that represents the situations

By the Triangle Sum Theorem, x + y + a = 180° and x + y + b = 180°. By substitution, x + y + a = 180°. Subtract equal quantities from both sides to get a = b.

In Mathematics, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.

Furthermore, the sum of the angles in a triangle is equal to 180. This ultimately implies that, we would sum up all of the angles as follows;

x + y + b = 180°

By substitution, we have the following:

x + y + a = 180°

Next, we would subtract equation 1 from equation 2, we have:

a - b = 0

a = b (Prove).

Read more on triangles here: brainly.com/question/25220606

#SPJ1

According to the distance, Andrew and Stacy will meet 0.5 hours after Stacy starts her journey from Portsmouth, which would be at 10:30 am.

To solve this problem, we will use the concept of distance, speed, and time. The distance between Exeter and Portsmouth is given as 20 miles. Andrew starts his journey at 9:30 am and cycles at a speed of 12 mph. Stacy starts her journey at 10:00 am from Portsmouth and cycles at a speed of 16 mph.

Let's consider the distance traveled by Andrew and Stacy before they meet. Suppose they meet after a time of "t" hours, and let's assume that Andrew has traveled "d1" miles from Exeter towards Portsmouth, and Stacy has traveled "d2" miles from Portsmouth towards Exeter.

Since Andrew starts half an hour earlier than Stacy, he would have traveled for "t + 0.5" hours before they meet. Hence, the distance traveled by Andrew would be:

d1 = speed x time = 12 x (t + 0.5) miles

Similarly, Stacy would have traveled for "t" hours before they meet. Hence, the distance traveled by Stacy would be:

d2 = speed x time = 16 x t miles

Now, we know that the total distance between Exeter and Portsmouth is 20 miles. Therefore, the sum of the distances traveled by Andrew and Stacy should be equal to 20 miles when they meet.

d1 + d2 = 12(t + 0.5) + 16t = 20

Simplifying the equation, we get:

28t + 6 = 20

28t = 14

t = 0.5

To know more about distance here

https://brainly.com/question/4199102

#SPJ4

Answer:

2(n-8) = 5

Step-by-step explanation:

I'm assuming that its supposed to say "a number and 8"

Answer:

x=10.5

Step-by-step explanation:

x will be a number

2(x-8)=5 --> I'm assuming your question is " twice the difference of a number and 8 equals 5.

Solving

2(x-8)=5

2x-16=5 --> distrubute the 2--> 2*x = 2x and 2*-8 = 16

2x=16+5--> add 16 to other side of x

2x=21--> add like terms

2x / 2 =21 / 2--> single out x

x=10.5 --> 21/2 --> just divide

To find the final location of the ant after it has walked counterclockwise a distance of 2 units around the unit circle, we need to calculate the coordinates (x, y) of the point.

Since the ant starts at the point (1, 0) on the unit circle, we can think of this point as being at an angle of 0 degrees or 0 radians.

To find the coordinates after walking a distance of 2 units counterclockwise, we can calculate the new angle using the arc length formula:

s = rθ

where s is the arc length, r is the radius of the circle (which is 1 in this case), and θ is the angle in radians.

In this case, the arc length is 2 units and the radius is 1, so we have:

2 = 1θ

Solving for θ, we find:

θ = 2 radians

Now, we can use this angle to find the coordinates (x, y) of the final location on the unit circle:

x = cos(θ)

y = sin(θ)

Plugging in θ = 2, we get:

x = cos(2) ≈ -0.42

y = sin(2) ≈ 0.91

Therefore, the approximate coordinates of the final location of the ant are (-0.42, 0.91).

Learn more about the unit circle and trigonometry here:

https://brainly.com/question/32794469

#SPJ11

Thee width across the top of the trapezoidal rain gutter that will carry the maximum amount of water is given by 10/tan ø cm.

Let us say that the width across the top of the trapezoidal rain gutter is x cm. Since one-third of the sheet will be bent up on each side, we are left with the width of the base of the trapezoidal rain gutter as (60 - 2/3×60) cm = 20 cm. Thus, the width across the top (x cm) and the width of the base (20 cm) are the parallel sides of the trapezium.

We need to find the width across the top so that the gutter will carry the maximum amount of water. For a trapezium with parallel sides of lengths a and b and the distance between the parallel sides as h, the area is given as:

Area = 1/2 × (a + b) × h

Let the perpendicular distance of the top of the trapezoidal rain gutter from the base be h cm. Now, using the right-angled triangle OAP shown below, we have the relation:

h = x sin øSo, substituting for h in the area formula above, we get:

Area = 1/2 × (20 + x) × x sin ø

Simplifying, we have :

Area = 10x sin ø + 1/2 x² sin ø

We can obtain the maximum value of the area by differentiating the above expression to x and equating to zero:

d(Area)/dx = 10 sin ø + x sin ø = 0

=> x = -10 cm (discard as it is negative) or x = 10/tan ø

The width across the top is 10/tan ø cm. Thus, the width across the top of the trapezoidal rain gutter that will carry the maximum amount of water is given by 10/tan ø cm.

To know more about the trapezoidal, visit:

brainly.com/question/32048079

#SPJ11

The new temperature would be 8 when the temperature is -4 and rises by 12.

Addition is a fundamental mathematical operation that is used to join two or more numbers or quantities. It entails calculating the sum of two or more values.

The sign "+" represents the procedure.

For example, adding 2 and 3 yields a total of 5, which is expressed as:

2 + 3 = 5

As per the question, If the temperature starts at -4 and rises by 12, we need to add 12 to the starting temperature to find the new temperature.

So, the new temperature would be:

-4 + 12 = 8

Therefore, the new temperature would be 8.

Learn more about Addition operations here:

brainly.com/question/25834626

#SPJ4

The expected value of the total number of rounds played is E = S = 3. This means that, on average, the game will last for three rounds before one of the players hits the bullseye.

To find the expected value of the total number of rounds played, we can use the concept of conditional probability and the law of total probability.

Let E be the expected value of the total number of rounds played. We can express E as follows:

E = P(Ram hits on the first round) * 1 + P(Ram misses on the first round and Laxman hits on the second round) * 2 + P(Ram misses on the first round, Laxman misses on the second round, Ram hits on the third round) * 3 + P(Ram misses on the first three rounds, Laxman hits on the fourth round) * 4 + ...

Note that if Ram hits on the first round, then the game ends, and the expected number of rounds played is 1. If Ram misses on the first round, then we need to consider the probabilities of different outcomes on the subsequent rounds.

Using the law of total probability, we can write:

P(Ram misses on the first round and Laxman hits on the second round) = P(Ram misses on the first round) * P(Laxman hits on the second round | Ram misses on the first round)

= (2/3) * (1/2) = 1/3

Similarly, we can calculate the probabilities of the other outcomes:

P(Ram misses on the first round, Laxman misses on the second round, Ram hits on the third round) = (2/3) * (1/2) * (2/3) * 1/3 = 2/27

P(Ram misses on the first three rounds, Laxman hits on the fourth round) = (2/3) * (1/2) * (2/3) * (1/2) * (2/3) * 1/3 = 4/81

Using these probabilities, we can rewrite the expression for E as follows:

E = (1/3)*1 + (1/3)*2 + (2/27)*3 + (4/81)*4 + ...

Now, let S = (1/3)*1 + (1/3)*2 + (2/27)*3 + (4/81)*4 + ... be the sum of the expected number of rounds played in each scenario. Then, we can write:

S = (1/3)*1 + (1/3)*2 + (2/27)*3 + (4/81)*4 + ...

= (1/3) * (1 + 2/3 * (1 + 2/3 * (1 + 2/3 * (...))))

= (1/3) * (1 + 2/3 * S)

Solving for S, we get:

S =3.

For more similar questions on probability:

brainly.com/question/13604758

#SPJ11

a. The correlation between winning time and year would be negative because the regression equation has a negative slope (-0.11865).The slope of -0.11865, actual winning time in 2010 was 34.91 seconds.

b. Using the regression equation, we can predict the winning time for 2010 as follows:

winning time = \(273.06 - (0.11865)(2010)\)

winning time = \(273.06 - 239.2465\)

winning time = \(33.8135 seconds\)

The actual winning time in 2010 was 34.91 seconds, which is higher than the predicted time.

c. The slope of -0.11865 indicates that winning times decrease by an average of 0.11865 seconds per year. In other words, for each year that passes, the winning time decreases by approximately 0.12 seconds on average. This suggests that athletes are improving and getting faster over time, which is a common trend in many sports.

To learn more about regression equation, visit here

https://brainly.com/question/30738733

#SPJ4

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

Assuming the question is asking for angle B, it measures 23°

Step-by-step explanation:

If angle A = 67°, and angle A and angle B are complementary, then you know they add up to 90°.

angle A + angle B = 90°

67° + Angle B = 90°

Angle B = 23°

Answer:

68

Step-by-step explanation:

right on khan

News executives estimated that a 0.1 drop in the ratings for the CBS Evening News corresponds to a $5.5 million drop in revenueThe correct expression that represents the estimation as a derivative is:

\($f'(p) = -5.5 \text{million}$\)

This means that the derivative of the revenue function with respect to the ratings points is equal to -5.5 million.

In this context, the negative sign indicates that as the ratings points decrease (p decreases), the revenue earned decreases. The magnitude of -5.5 million indicates the rate of change in revenue for every one-unit decrease in the ratings points.

By using the derivative, we can determine the sensitivity of revenue to changes in ratings points. In this case, for every 0.1 drop in the ratings points, the revenue is estimated to decrease by $5.5 million.

It's important to note that this estimation assumes a linear relationship between the ratings points and revenue. The derivative captures the instantaneous rate of change in revenue with respect to ratings points.

Learn more about derivative here:

https://brainly.com/question/30365299

#SPJ11

Answer:

2:5

Step-by-step explanation:

We know there are 2 girls so thats the first number now we have to find the total number of students which is boys + girls so 3 + 2 = 5 so it's 2:5 hope I could help :3

Answer:

2:5

Step-by-step explanation:

Because we are doing ratios of all the boys to girls at King Middle school this means there are three boys and two girls seeing that the boys to girls ratio would be 3:2 meaning that the total of all the students would be made by adding all the boys and girls making 5. we then remember there we only 2 girls meaning that there are two girls out of a total of five students at King Middle School.

Step-by-step explanation:

= 2/3 × 0,8

= 2/3 × 8/10

= 2/3 × 4/5

= (2 × 4)/(3 × 5)

= 8/15

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

The probability that the student is from other majors is 0.40, the probability that the student majors only math is 0.13, and the probability that the student does not major engineering is 0.73.

a) Probability of a student being from other majors = (150-90) / 150 = 0.40

b) Probability of a student majoring only math = (30 - 20) / 150 = 0.13

c) Probability of a student not majoring engineering = (150 - 40 - 20) / 150 = 0.73

Probability = Number of Favorable Outcomes / Total Number of Outcomes

For part a)

Number of Favorable Outcomes = 150-90 = 60

Total Number of Outcomes = 150

Therefore, Probability = 60 / 150 = 0.40

For part b)

Number of Favorable Outcomes = 30-20 = 10

Total Number of Outcomes = 150

Therefore, Probability = 10 / 150 = 0.13

For part c)

Number of Favorable Outcomes = 150-40-20 = 90

Total Number of Outcomes = 150

Therefore, Probability = 90 / 150 = 0.73

The probability that the student is from other majors is 0.40, the probability that the student majors only math is 0.13, and the probability that the student does not major engineering is 0.73.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

Answer:

a₁₃ = - 20

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 13 and a₄ = 7 , then

a₁ + d = 13 → (1)

a₁ + 3d = 7 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = - 6 ( divide both sides by 2 )

d = - 3

Substitute d = - 3 into (1)

a₁ - 3 = 13 ( add 3 to both sides )

a₁ = 16

Then

a₁₃ = 16 + (12 × - 3) = 16 - 36 = - 20

Answer:prism

Step-by-step explanation:

Answer:

A Scalene Triangle

Step-by-step explanation:

I hope this helps you out!

The definite integral that represents the volume of the pyramid is: ∫[0, 4] (16 - 8x + x²) dx = 64/3 cm³

To find the volume of a regular square pyramid, we can use the formula:

Volume = (1/3) * base area * height

The base of the pyramid is a square with sides of length 4 cm, so the base area is 4 cm * 4 cm = 16 cm².

The height of the pyramid is given as 4 cm.

Now we can substitute these values into the formula:

Volume = (1/3) * 16 cm² * 4 cm

Simplifying the expression:

Volume = (1/3) * 64 cm³

To represent this as a definite integral, we can write:

Volume = ∫[a, b] f(x) dx

where the function f(x) represents the area of the cross-section of the pyramid at height x and [a, b] represents the interval of heights from the base to the top of the pyramid.

Since the pyramid is a regular square pyramid, the cross-sections at different heights are also squares with side lengths proportional to the height.

Let's choose a coordinate system where the base of the pyramid lies in the xy-plane, with the center of the base at the origin (0, 0).

At any height x between 0 and 4, the side length of the square cross-section is given by:

s(x) = (4 - (4/4) * x) = 4 - x

The area of the square cross-section is:

A(x) = (4 - x)² = 16 - 8x + x²

To find the volume of the pyramid, we integrate A(x) over the interval [0, 4]:

Volume = ∫[0, 4] (16 - 8x + x²) dx

Integrating, we get:

Volume = [16x - 4x² + (1/3)x³] evaluated from 0 to 4

Volume = (64 - 64 + (64/3)) - (0 - 0 + 0)

Volume = 64/3

Therefore, the definite integral that represents the volume of the pyramid is: ∫[0, 4] (16 - 8x + x²) dx = 64/3 cm³

Visit here to learn more about definite integral brainly.com/question/30760284

#SPJ11

The number pattern is 1, 1 ,2,3,7,23 ,164,3,776

What is the definition of a number pattern?

Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.

1 + 1 = 2 + 0 = 2

3 x 2 = 6 + 1 = 7

7 x 3 = 21 + 2 = 23

23 x 7 = 161 + 3 = 164

164 x 23 = 3772 + 4 = 3776

Therefore, The number pattern is 1, 1 ,2,3,7,23 ,164,3,776

To learn more about the number pattern check the given link

brainly.com/question/28007133

#SPJ1

Answer:  False

Explanation:

We can use a counterexample to see why this is false.

|38| = 38

We see that both input and output are the same value, so there's no way it can be larger than itself.

You can pick any positive number you want to set up a counterexample.

Picking negative values won't work to set up a counterexample.

Answer:

  (x1, x2, x3) = (4, 5, -2)

Step-by-step explanation:

You want to solve this system of equations using Gauss elimination:

The method of Gauss elimination eliminates the variables from the equations one by one until the final equation has only one variable. Essentially, the coefficient matrix is put in row-echelon (upper triangular) form.

The solution to the final equation is then back-substituted into the other equations. That process is repeated until all variable values have been found.

Subtract 3 times the first equation from the second, and 2 times the first equation from the third.

  x - y + 2z = -5

  0x +7y +9z = 17

  0x +y -3z = 11

It is convenient to swap the last two equations so the coefficient of y on the diagonal is 1.

  x - y + 2z = -5

  0x +y -3z = 11

  0x +7y +9z = 17

Now, we will subtract 7 times the second equation from the third:

  x -y +2z = -5

  0x +y -3z = 11

  0x +0y +30z = -60

The solution to the last equation is ...

  z = -60/30 = -2

Substituting for z in the second equation, we find y to be ...

  y -3(-2) = 11

  y = 5 . . . . . . . . subtract 6

Substituting for z and y in the first equation, we find x to be ...

  x -(5) +2(-2) = -5

  x = 4 . . . . . . . . . add 9

The solution to the system of equations is (x1, x2, x3) = (4, 5, -2).

__

Additional comment

It is painful to write subscripts on numerous instances of a variable, so we have used x, y, z for x1, x2, x3. The working is the same.

<95141404393>

\(\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=11.5 \end{cases}\implies C=2\pi (11.5)\implies C=23\pi\)

now, that's the circumference, or namely another way to say that's the car's arc length or a revolution.

now, how many times does 23π go into 13200?   \(\cfrac{13200}{23\pi }~~ \approx ~~ \stackrel{revolutions}{182.68}\)

Answer: -3

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT. THANKYOU.

Th number of tiles the students need is 512.

The first step is to convert feet to inches

1 feet = 12 inches

The next step is to convert the dimensions of room 111 to inches

8 x 12 = 96 inches

16 x 12 = 192 inches

Now, determine the area of the room and the tiles.

Area = length x width

Area of the room = 96 x 192 = 18,432 in²

Area of the tile = 6 x 6 = 36 in²

Number of tiles needed = 18,432 in² / 36 in² =512

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

#SPJ1

Answer:

C. 150

Step-by-step explanation:

The given angle and angle x are supplementary. This means that when added together they add to 180. So, to solve you can set up an algebraic equation like 180=x+30. Then, subtract 30 from both sides to get 150=x.

The probability of the shop purchasing is 5/9.

Let X be the number of non-defective engines purchased by the auto shop out of the 4 engines bought. We want to find P(X >= 3), the probability of getting at least 3 non-defective engines.

Using the hypergeometric distribution formula, we have:

P(X >= 3) = P(X = 3) + P(X = 4)

where

P(X = k) = (C(7, k) * C(2, 4-k)) / C(9, 4)

So, we have:

P(X = 3) = (C(7, 3) * C(2, 1)) / C(9, 4) = (35 * 2) / 126 = 5/18

P(X = 4) = (C(7, 4) * C(2, 0)) / C(9, 4) = (35 * 1) / 126 = 5/18

Therefore,

P(X >= 3) = 5/18 + 5/18 = 10/18 = 5/9

So the probability of the shop purchasing at least 3 non-defective engines is 5/9.

Learn more about  probability

brainly.com/question/30034780

#SPJ11

Answer:

z = 13

hope it helps ;))