A=1/2 (b+B)h. Find the area of a trapezoid whose height is 6m, small base is 12 m, and large base us 18 m

The area of a rectangle is the product of the width and the length

The required values are;

a. Please find attached the diagram of the table attached

b. 6 + 2·x

c. x represents the width of the leaves

Reason:

Known parameter

Length of the table = 6 feet

Width of the table = 3 feet

Number of leaves = 2

Length of the sides of the leaves = 3 feet

a. Please find attached the diagram of the table, with leaves drawn with MS Visio

Total length = (6 + 2·x) feet

Width = 3 feet

Area, A = (6 + 2·x) ft. × 3 ft. = (18 + 6·x) ft.²

b. The expression that represents the length of the table is 6 + 2·x

c. The variable, x, represents the width of the leaves

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To simplify this expression, you have to remember that when a number or a variable is raised to the negative exponent you have to reciprocate the number. In this expression, c^-8 will be reciprocated so it will become part of the numerator. Therefore, the final answer would be 12c^8/d^2.

Answer:

1.25x

Step-by-step explanation:

Answer and step-by-step explanation:

The function is not linear because the graph is not a straight line.

A linear function has a graph that is a straight line; the rate of change is the same between consecutive points.

In this graph, the rate of change is different between different pairs of points.  This is a parabola; this is not a linear function.

Answer:

it is not linear because its not a straight line

Step-by-step explanation:

gimme brainliest

Answer:

27%

Step-by-step explanation:

I really think it is 27%

To find the height of the trapezoid, use the formula for the area of a trapezoid: A = ((b1 + b2) * h) / 2. Plug in the given values and solve for h.

To find the height of the trapezoid, we can use the formula for the area of a trapezoid: A = ((b1 + b2) * h) / 2, where A is the area, b1 and b2 are the lengths of the bases, and h is the height. In this case, the area is given as 43.5 square centimeters, and the lengths of the bases are 6 centimeters and 8.5 centimeters. Plugging in these values, we get:

43.5 = ((6 + 8.5) * h) / 2

Simplifying the equation, we have:

87 = 14.5h

Dividing both sides by 14.5, we find:

h = 6 centimeters

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Height of the trapezoid  is 6 centimeters.

Area = (1/2) × (Base1 + Base2) × Height

Given the following values:

We can plug these values into the formula and solve for the height:

43.5 = (1/2) × (6 + 8.5) × Height

43.5 = (1/2) × 14.5 × Height

43.5 = 7.25 × Height
To isolate the height, divide both sides by 7.25:

Height = 43.5 / 7.25

Height = 6 centimeters

So, the height of the trapezoid is 6 centimeters.

Final answer:

To determine the time Kyra spends running, the time spent on stretching and showering is subtracted from the total gym time, resulting in 65 minutes of running.

Explanation:

Kyra exercises at the gym for a total of 1 2/3 hours. To calculate the time she spends running, we need to subtract the time spent on other activities from the total exercise time. First, convert 1 2/3 hours to an improper fraction: (1 × 3) + 2 = 3 + 2 = 5/3 hours. Now, let's convert this into minutes: 5/3 hours × 60 minutes/hour = 100 minutes.

Next, calculate the total time spent stretching and showering: (1/4 hour × 60 minutes/hour) + (1/3 hour × 60 minutes/hour) = 15 minutes + 20 minutes = 35 minutes.

Finally, to find out how much time Kyra spends running, subtract the time spent on stretching and showering from the total exercise time: 100 minutes - 35 minutes = 65 minutes spent running

Kyra spends 1 hour and 5 minutes running at the gym.

To find out how much time Kyra spends running, we need to subtract the time she spends stretching and showering from the total time she exercises at the gym.

Given that Kyra spends 1 2/3 (or 5/3) hours at the gym, and 1/4 hour stretching and 1/3 hour showering, we can calculate:

Total time Kyra spends stretching and showering = 1/4 + 1/3 = 3/12 + 4/12 = 7/12 hours

Time Kyra spends running = Total time at the gym - Total time Kyra spends stretching and showering = 5/3 - 7/12 = 20/12 - 7/12 = 13/12 hours.

Therefore, Kyra spends 13/12 hours or 1 hour and 5 minutes running.

An expression that has four terms is equal to [tex]8(2x+1) +7[/tex] and simplifies to [tex]16x+15.[/tex]

" An expression is defined as the statement which relates the variable and the number using mathematical operation."

According to the question,

Given a simplified expression,

[tex]16x +15[/tex]

An expression that has four terms

[tex]8(2x +1) +7[/tex]

Four terms are [tex]8, 2x , 1, 7[/tex]

Simplify the expression we get,

[tex]8\times 2x + 8\times 1+ 7\\\\= 16x + 8 +7\\\\= 16x +15[/tex]

Hence, an expression that has four terms is equal to [tex]8(2x+1) +7[/tex] and simplifies to [tex]16x+15.[/tex]

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x^3 -6x = 3x^2 -8

x^3 - 3x^2 -6x = -8

x^3 - 3x^2 -6x +8 = 0

 now factor:

(x-4) (x^2+x-2) = 0

(x-4) (x-1)(x+2) = 0

 the roots are  4, 1, -2

 answer is the last one

The missing number in the equation 9/10 minus blank = 1/5 is 7/10. To find this, we converted 1/5 to the common denominator of 10, resulting in 2/10, and subtracted it from 9/10.

To find the missing number in the equation 9/10 minus blank = 1/5, we need to subtract 1/5 from 9/10. To do calculations with fractions, it's essential to have a common denominator. In this case, the least common denominator for 10 and 5 is 10. We need to express 1/5 as 2/10 to match the denominator of 9/10.

Next, we subtract the two fractions:

So, the missing number is 7/10, because 9/10 minus 7/10 equals 1/5. This result becomes clear with the common denominators, as we are able to subtract the numerators directly while keeping the denominator.

Final answer:

To solve for the missing number in the equation 9/10 minus blank equals 1/5, we find a common denominator, move like terms, and solve for x, yielding the missing number 7/10.

Explanation:

To find the missing number in the equation 9/10 minus blank equals 1/5, we need to isolate the blank (let's call it x). To do this, we'll move all known values to one side of the equation.

Start with:

9/10 - x = 1/5

Add x to both sides:

9/10 = x + 1/5

Now, find a common denominator which is 10 in this case, to combine the fractions. This gives us:

9/10 = (x ⋅ 10/10) + (2/10)

Keep in mind, the arithmetic of common denominators to simplify the equation.

Combine like terms:

9/10 = (10x + 2)/10

Multiply both sides by 10 to get rid of the denominator:

9 = 10x + 2

Subtract 2 from both sides:

7 = 10x

Finally, divide by 10:

x = 7/10

So, the missing number is 7/10.

Answer with explanation:

Given : A Parallelogram A B CD.

When the Parallelogram is rotated by an angle of 180° through point Q,

⇒The Answer can be explained in this way, when you rotate by an angle of 90° the two corresponding sides of Pre-Image and Image will be Perpendicular to each other , while you rotate by an Angle of 180°, the two corresponding sides of Pre-Image and Image will be Anti-Parallel to each other.

⇒By looking at the four options , the option in which Corresponding side of Preimage that is Parallelogram ABCD and after rotating through an angle of 180°,and Corresponding Side of Image that is Parallelogram A'B'C'D' are Anti-parallel to each other.

⇒Point Q , will lie on line joining from D to D'.

Option D

In one gram of substance 0.22 grams of nickel is present. Then the amount of nickel in the 35 grams of the substance is 7.7 grams.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

A single gram of a certain metallic substance has 0.52 grams of copper and 0.26 grams of zinc.

The remaining portion of the substance is nickel.

Let the gram of nickel be x. Then we have

x + 0.52 + 0.26 = 1

                      x = 0.22

0.22 grams of nickel.

Ben estimated that 0.2 gram of nickel is in 1 gram of the substance.

He used this to estimate the amount of nickel in 35 grams of the substance.

Then we have

→ 35 × 0.2 = 7

We know that in 1 gram the amount of nickel is 0.22 gram. Then er have

→ 35 × 0.22 = 7.7

The amount of nickel in the 35 grams of the substance is 7.7 grams.

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Final answer:

It will take approximately 20.2 seconds for the water bottle rocket to return to the ground after being launched, determined by solving the given quadratic equation by completing the square.

Explanation:

The question asks how long it will take for a water bottle rocket launched from a rooftop to return to the ground, given the equation h = -16t2 + 320t + 32, where h is height in feet and t is time in seconds. To find when the rocket hits the ground, we need to solve for t when h equals zero by completing the square.

First, rearrange the equation: 0 = -16t2 + 320t + 32.

Factor out -16 to simplify: 0 = -16(t2 - 20t - 2).

To complete the square, take half of the -20, square it and add to both sides: 100 + 2 = -16(t2 - 20t + 100).

This simplifies to 0 = -16((t - 10)2 + 98) and then (t - 10)2 = -98/(-16).

Solve for t: t = 10 + sqrt(98/16), which gives approximately t = 20.2 seconds.

Therefore, it will take approximately 20.2 seconds for the water bottle rocket to return to the ground.

Answer:

It's C. 2850.8 in3

Step-by-step explanation:

The required volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,

The formula for the volume of a square pyramid is:

[tex]$V = \frac{1}{3}Bh$[/tex]

Where B is the base area and h is the pyramid's height.

In this case, the base is a square with a side length of 12 cm, so its area is:

[tex]B = 12^2 = 144cm$^2$[/tex]

The height of the pyramid is 8 cm.

Plugging these values into the formula, we get:

[tex]V = \frac{1}{3}(144)(8) = 384$ cm$^3[/tex]

Therefore, the volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.

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