In the diagram shown,
ABCE is a trapezium,
AD is parallel to BC,
DE = 4 cm,
Area of ABCE = 60 cm²,
Area of ABCD = 48 cm².
Work out the values of f and g.
You must show all your working.

Answer:

37 GB

Step-by-step explanation:

Answer:

what is the difference between 880 and 580

Vaughn and Xi are not partners in Wind Systems because they do not have joint control over the business.

A partner is a person who shares in the profit and loss of a business. A partner is also involved in the running of the business.

A partner is sometimes needed because one person might not have the knowledge and know how of running a business. Also, a partner might be needed to raise enough capital for the business.

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The diameter of the circular plate is 16.3 inches (rounded to the nearest tenth of an inch).

The given figure can be visualized as a circle with two perpendicular chords of length 7 inches each.

The chords are bisected perpendicularly by two segments passing through the center, each of length 6 inches.

Now, we have to find the diameter of the circular plate.

To find the diameter, we have to draw a perpendicular line to the center from one of the endpoints of a chord.

This will give us a right triangle with one side as 3 inches (half of the length of the chord) and the hypotenuse as the radius of the circle.

Using Pythagoras theorem, we get:

r² = 3² + 6² = 45r = √45 = 3√5 inches

Since the radius is 3√5 inches, the diameter is 6√5 inches.

To get the value of the diameter to the nearest tenth of an inch, we substitute 3.16 for √5.

Therefore, the diameter of the circular plate is:

Diameter = 6(3.16) = 18.96 inches ≈ 16.3 inches (rounded to the nearest tenth of an inch).

Thus, the diameter of the circular plate is 16.3 inches (rounded to the nearest tenth of an inch).

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Answer

x= 16/45 (as a fraction)

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

he has traveled 5.4 miles

Answer:

5.4 miles

Step-by-step explanation:

The distance which Alex is going to cover= 540 miles

The Percentage of distance which he had travelled= 1%

The actual distance he had travelled= 1% of 540

                                                            = \(\frac{1}{100}\) x 540

                                                            = 5.4 miles

∴ Alex covered 5.4 miles as he travelled by 1 percent of his journey

it takes Sheela to run the second leg of the race: Ascertain the total or contrast: x = 13.83.

In view of the given circumstances, plan:: 14.06+ x = 27.89

Modify variables to the left half of the situation: x = 27.89 - 14.06

Ascertain the total or contrast: x = 13.83

Speed = Distance/Time - This lets us know how slow or quick an article moves. It portrays the distance voyaged partitioned when taken to cover the distance.

Speed is straightforwardly Relative to Distance and Conversely corresponding to Time. Thus,

Distance = Speed X Time, and

Time = Distance/Speed, as the speed builds the time taken will diminish as well as the other way around.

Utilizing these recipes any fundamental issues can be settled. Nonetheless, the right utilization of units is additionally something essential to consider while utilizing equations.

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To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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Yes, it would be a scalene triangle. This can happen.

The Triangle sides have to be greater than c.

a+b > c

With the given inches, substitute it into the equations:

a = 3 in

b = 5 in

c = 9 in

3 + 5 > 9

Solve.

9 > 9

This is False since because a + b is not > c. a + b is equal to c.

The recursive algorithm to multiply two positive integers m and n using repeated addition is :

Algorithm Multiply(m, n):

1. Base case: if m or n is 0, return 0.
2. Recursive case: if m is odd, return n + Multiply(m-1, n).
  if m is even, return Multiply(m/2, n) + Multiply(m/2, n).

The base case is when either m or n is 0, in which case the product is 0.

In the recursive case, we use repeated addition to compute the product of m and n. If m is odd, we add n to the product of (m-1) and n.

This can be seen as adding n to itself (m-1) times. If m is even, we split it into two equal halves and recursively compute the product of each half, and then add the two products together.

This is essentially a divide-and-conquer approach.

For example, to compute the product of 5 and 7 using this algorithm:

Multiply(5, 7) -> 7 + Multiply(4, 7) -> 7 + (Multiply(2, 7) + Multiply(2, 7)) -> 7 + ((Multiply(1, 7) + Multiply(1, 7)) + (Multiply(1, 7) + Multiply(1, 7))) -> 7 + ((7 + 7) + (7 + 7)) -> 35

So the product of 5 and 7 is 35.

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Answer:

32n = 100 - 20

n = 2.5

he purchased 2 sweaters

Step-by-step explanation:

32n = 100 - 20

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n which means that he was able to but 2 sweaters and got $16 back. Therefore the formula would be 32n = 100 - 20

The formula for the number of sweaters will be 32n = 100 – 20.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Favian received a $100 gift card to a clothing store.

Using only the gift card, he was able to purchase n sweaters that cost $32 each and 1 belt for $20.

If there was no tax on the sweaters and belt,

Then the equation will be

32n + 1 x 20 = 100

    32n + 20 = 100

             32n = 80

                 n = 2.5 ≈ 2

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n, which means that he was able to but 2 sweaters and got $16 back.

Therefore, the formula would be 32n = 100 – 20.

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Ben has to kick the ball about 15.23 meters to reach Clay.

To find the distance between Ben and Clay, we can use the Pythagorean theorem. We need to find the length of the hypotenuse of the right triangle formed by the horizontal and vertical distances between Ben and Clay.

The horizontal distance between Ben and Clay is 7 squares to the right. Since each square is 2 meters long, the horizontal distance is 14 meters.

The vertical distance between Ben and Clay is 3 squares up. Since each square is 2 meters long, the vertical distance is 6 meters.

Using the Pythagorean theorem, we can find the distance between Ben and Clay:

distance = sqrt((14)^2 + (6)^2) ≈ 15.23 meters

Therefore, Ben has to kick the ball about 15.23 meters to reach Clay.

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60% male and 40% female

Answer:

48 free throws

Step-by-step explanation:

25:36 is the ratio

Now divide 25 by 36 to find the probability of the basketball player scoring:

25/36=0.694

Now multiply this probability with the total number of free throws (70) in order to get the number of free throws that would be made:

70 * 0.694 = 48.6

You can't make 48.6 free throws, so you have to round down to the nearest integer since you can't make 0.6 free throws.

Hence, 48.6 ==> 48 free throws

To find out how far a car will travel (in feet) before a driver reacts to an obstacle, given that the car is moving at 34 miles per hour in a residential neighborhood, we need to convert the speed of the car from miles per hour to feet per second. This can be done using the conversion factor that 1 mile per hour is equal to 1.46667 feet per second. Therefore, 34 miles per hour is equal to 34 x 1.46667 = 49.86678 feet per second.

We know that the average reaction time of the driver is 1.2 seconds, and we can use the following formula to calculate the distance traveled by the car before the driver reacts to the obstacle:

d = v x t

where d is the distance, v is the velocity, and t is the time taken. Using the formula above, we can calculate the distance traveled by the car before the driver reacts to the obstacle as:

d = 49.86678 x 1.2 = 59.84014 feet

Therefore, the car will travel 59.84014 feet before a driver reacts to an obstacle.

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Answer:

31 × 42 =

1,302

443 – 637 =

194

Step-by-step explanation:

Answer:

31 × 42 = 1,302
443 – 637 = -194

Step-by-step explanation:

I did it on Edge 2022

P = 35/128  is the probability that the number of heads obtained from flipping the two fair coins is the same.

Describe probability using an example?

P( oH )  = ³C₀ (1/2)³ . ⁴C₀ (1/2)⁴  = 1 . 1/128

P( 1H) = ³C₁ (1/2)³ . ⁴C₁( 1/2 )⁴ = 12/128

P( 2H ) = ³C₂ (1/2)³ . ⁴C₂ (1/2)⁴ = 18/128

P( 3H) = ³C₃ ( 1/2)³ . ⁴C₃ ( 1/2)⁴ = 4/128

P = 1/128 + 12/128 + 18/128 + 4/128

P = 35/128

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The tip of the second hand of the clock moves a distance as far as 5.2 inches in 10 seconds.

The distance traveled by the tip of the second hand on a clock can be calculated by using the formula for circumference of a circle, which is:

C = 2πr

where C is the circumference, π is approximately equal to 3.14159, and r is the radius.

If the length of the second hand is 5 inches, then the radius of the circle is 5 inches.

Therefore, the circumference of the circle traced by the tip of the second hand is C = 2πr = 2π(5 inches) = 10π = 31.4159

If we assume that the second hand moves at a constant speed, then the distance traveled by the tip in 10 seconds is equal to the circumference of the circle multiplied by the fraction of the circumference covered in 10 seconds.

Since the second hand completes one full revolution in 60 seconds, then in 10 seconds it covers 1/6 of the circumference. Therefore, the distance traveled by the tip in 10 seconds is:

1/6 C = 1/6(31.4159 inches) = 5.23598 inches

Round off to the nearest tenth of an inch.

5.23598 inches = 5.2 inches

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The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Increasing the sample sizes in a randomized controlled study is most likely to effectively address the threat to validity known as selection bias.

Selection bias occurs when the process of selecting participants for a study results in a non-representative sample that differs systematically from the target population. This can lead to biased estimates and limit the generalizability of the study findings. By increasing the sample sizes, researchers can reduce the impact of selection bias by improving the representativeness of the sample.

A larger sample size increases the likelihood of capturing a diverse range of participants, which helps to mitigate the potential biases introduced by the selection process. With a larger sample, there is a higher chance of including individuals from various demographic groups, backgrounds, and characteristics that are representative of the target population. This helps to minimize the risk of systematic differences between the sample and the population, reducing the potential for selection bias.

Additionally, a larger sample size provides more statistical power, which allows for more precise estimates and better detection of small but meaningful effects. This enhances the generalizability of the findings to the broader population, as the study results are less likely to be influenced by chance or random variation.

While increasing the sample size can also have benefits in addressing other threats to validity such as regression to the mean or increasing statistical power to detect effects, it is particularly effective in reducing selection bias. By ensuring a larger and more representative sample, researchers can enhance the external validity of their findings and increase confidence in the study's results.

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Answer:

2/3

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

Answer:

Undefined slope

Step-by-step explanation:

Slope , m is equal to rise/run    Or   ( y1-y2) / ( x1 -x2)

              This line is a vertical line at x = -8    And thus has undefined slope

              (Because you cannot divide by zero)

Answer:

Undefined

Step-by-step explanation:

Hey! Let's help you with your question here! I am unsure if the points are correct cause you've written each one down twice. If it does change, I will change my answer accordingly.

We're looking for a slope of the line that passes through 2 points I see! Alright, so as you would recall, most equations of a linear line are described in the form of slope-intercept form. And that being this:

\(y=mx+b\)

When we're finding for slope of the line, we're essentially just look for m. But how can we find m with only just 2 points? Well, we can! Using a formula that helps us find the slope using exactly 2 points! And that is:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Now, all we have to do is plug in the values as such and solve:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{-11-(-1)}{-8-(-8)}\)

From here, we come to a problem. If we were to solve this equation to find the slope, we will get an undefined value mainly because the denominator will equal 0 and we can't have it equal 0. So therefore, it is undefined.

Given a point (3, 5) and a slope = 0, we can solve its equation using the Point-Slope form formula.

From this, let's replace y₁ with 5, x₁ with 3, and m = 0.

In standard form, the equation is 0x + y = 5 or y = 5.

Below is the graph of this line.

Answer:

7xy-8yz+3x-4x+8yz

7xy-8yz+8yz+3x-4x

7xy-x

Step-by-step explanation:

Answer:

12 cup glass and glass is the only thing I have to get in to the ball on it because it was the only

Answer:

6 pint = 12 cups

16 pints = 8 quarts

8 fluid ounces = 1 cup

And 8 pints = 1 gallon

The two angles are 45 degrees.

Step-by-step explanation:

You are just halfing the 90 degree angle, so all you have to do is divide 90 by two, and you have 45.

Answer:

you want to "isolate"  the variable "p" sooo...

Step-by-step explanation:

add 17 to both sides of the equation....  so you get

p = -6  :)

To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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Answer:

y = 4^x

Step-by-step explanation:

Answer:

Given - Length is nine feet more

Area is 252

To find - Value of length and width

Solution-

let the width of the carpet be X

therefore length = 9 + X

Area of carpet = Length * width

252 = (9+x) * X

252 = 9x + x²

Solving the equation by splitting middle term

x² + 9x - 252 = 0

x²- 21x + 12x - 252= 0

x ( x - 21) + 12( x - 21) = 0

(x -21)( x + 12) = 0

X = 21 or X = (-12)

Length = 9 + X

= 30 or (-3)

negative is not possible so

length = 30

width = 21