Calculate the area of this trapezium

Answer:

g43 = 79.5

Step-by-step explanation:

geometric sequence = ar^(n-1), where a is first term and r is common ratio.

g23 = ar^(23-1) = ar^22 = 16.

g28 = ar^27 = 24.

now do g28/g23:

(ar^27) / (ar^22) = 24/16,

a^(1-1) r^(27-22) = 24/16,

a^0 r^5 = 24/16,

r^5 = 24/16 = 1.5,

r = (1.5)^1/5 ≈ 1.084.

ar^22 = 16,

a = 16/(r^22) ≈ 2.687.

so g43 = ar^42 ≈ (2.687)(1.084)^42 = 79.5

Answer:

Step-by-step explanation:

A= 189.06cm2

Answer:

Step-by-step explanation:

189.06cm2

The instructions that you would include in your explanation are:

Identify the output.

Create a table for four input values.

Plot the points from the table.

In the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.

Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.

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Answer:1 to 2

             2 to 4

Step-by-step explanation:

Answer:

You will run out of iced tea in 3 days (a total of 3 mornings and 3 evenings)

Step-by-step explanation:

Day 1 - 9.5 cups left

 14.25 - 2.5 - 2.25 = 9.5

Day 2 - 4.75 cups left

 9.5 - 2.5 - 2.25 = 4.75

Day 3 - 0 cup left

 4.75 - 2.5 - 2.25 = 0

Answer: You will run out of iced tea in 3 days

Step-by-step explanation:

2.5 + 2.25 = 4.75

14.25/4.75 = 3

Answer:Running makes her heart beat faster

Step-by-step explanation:

Answer:

Play soccer: _________67% / 33% / 100%

Do not play soccer:___ 45% / 55% / 100%

Total : _____________112% / 88% / 200%

Step-by-step explanation:

play soccer: total is 90, to find percentage :

60/90 = 0.6666666667 estimated = 0.67

0.67 x 100 = 67%
30/90 = 0.3333333333 estimated = 0.33

0.33 x 100= 33%

33% + 67% = 100%

don’t play soccer : total is 60, to find percentage:

27/60 = 0.45

0.45 x 100 = 45%

33/60= 0.55

0.55 x 100 = 55%

45% + 55% = 100%

Total for first column going down

67% + 45% = 112%

Second column going down

33% + 55%= 88%

Third column going down

100% + 100% = 200%

Third column going across

112% + 88%= 200%

Play soccer: 67% / 33% / 100%

Do not play soccer:45% / 55% / 100%

Total :112% / 88% / 200%

( •_•)>⌐■-■  (⌐■_■)

Answer:

5x - 3x = 10

2(2x - 1) = 46

6x - 15 = 75

x+(x - 10) = 26

Step-by-step explanation:

5x - 3x = 10

2x = 10  Divide by 2

x=5

2(2x - 1) = 46   Distribute the 2

4x - 2 = 46  Add 2

4x = 48  Subtract by 4

x = 12

6x - 15 = 75  Add 15

6x = 90  Divide by 6

x=15

x + x - 10 =26  Add the x's together and the 10

2x = 36  Divide by 2

x = 18

not my work

Answer:

26>42+1/2=100

Step-by-step explanation:

hoppe this help

The quadratic equation is f(x) = (x + 12)² + 20, and the numerical values of h and k are h = -12 and k = 20

The function is given as:

f(x) = x² + bx + 164

Start by differentiating the function

f'(x) = 2x + b

Set to 0

2x + b = 0

Solve for x

x = -b/2

Substitute x = -b/2 in f(x) = x² + bx + 164

f(-b/2) = (-b/2)² + b(-b/2) + 164

This gives

f(-b/2) = b²/4 - b²/2 + 164

Evaluate

f(-b/2) = - b²/4 + 164

The minimum of the function is 20.

So, we have:

- b²/4 + 164 = 20

Subtract 164 from both sides

- b²/4 = - 144

Multiply both sides by -4

b² = 576

Take the square root of both sides

b = 24

Substitute b = 24 in f(x) = x² + bx + 164

f(x) = x² + 24x + 164

Rewrite as:

f(x) = (x² + 24x) + 164

This gives

f(x) = (x² + 24x + (24/2)² - (24/2)²) + 164

Rewrite as:

f(x) = (x² + 24x + 12²) - 12² + 164

f(x) = (x² + 24x + 12²) + 20

Express as a perfect square expression

f(x) = (x + 12)² + 20

The function is represented as:

f(x) = (x - h)² + k

By comparison, we have:

h = -12 and k = 20

Hence, the numerical values of h and k are h = -12 and k = 20, respectively

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Answer: 60

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

open circles are only less than or greater than.

Answer:

6 units squared

Step-by-step explanation:

you take the squares that are split up and find another one that matches with it to make a full square

Answer:

2√10 or ~6.32 units squared

Step-by-step explanation:

Area = L x W

Since both the width and lengths are diagonals, they will both be the hypotenuse of triangles.

Width = √1^2+1^2

          = √2

Length = √2^2+4^2

            = 2√5

∴ Area = √2*2√5

           = 2√10 or ~6.32 units squared

Answer:

6.4

Step-by-step explanation:

Use the triangle angle bisector theorem.

4.9/2.6 = AC/3.4

2.6AC = 4.9 × 3.4

AC = 6.40769...

Answer: 6.4

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:170

Step-by-step explanation:

122+24+24=170

We don't know how many cars James has but we know they have 't'. But we know Paul has 13 cars. The question asks if Paul hands over half of his cars to James how many would James have? Well, 13 / 2 = 6.5

If James right now has 't' cars then after Pauls give his cars, then James will have t + 6.5.

Hope this helps!

An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:

x > 5.4

One-half less-than x

x > 0

Answer:

25 inches squared

Step-by-step explanation:

Answer: 6,319,635,444

Step-by-step explanation: add both numbers together then round up

Answer:

add both number and round

Step-by-step explanation:

The percent of people of the people surveyed were satisfied with the car is  the percent of people of the people would buy that type of car again, so we have:  2015 ÷ 3100 × 100% = 65%

ANSWER: 65%

Ok done. Thank to me :3

Answer:

2015 / 3100%= 65%

Step-by-step explanation:

You could never tell how many people there are in this world. So that is why the 3100 should have a percentage which is divided by 2015, equals 65%.

Answer:

4

Step-by-step explanation:

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

The cube root of 64 is 4.

Before solving the question, let's understand the concept of cube root.

The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.

The cube root is denoted by ∛

Now, we will find the cube root of 64.

Firstly, we have to find factor 64.

64 = 2 × 2 × 2 × 2 × 2 × 2.

64 = ∛4³

64 = 4

Therefore, the cube root of 64 is 4.

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\(-(-12)\) and \(-12\) are opposites because the negative before the parentheses of \(-(-12)\) multiplies.

\(-1\times-12=12\neq -12\)

So therefore, \(-(-12)\) is not equal to \(-12\)

Answer:

28 ft

Step-by-step explanation:

since we're trying to find the distance between them you have to add 12 and 16 to get 28 and it tells how many feet the distance is between the bottom of the pool and the diving board

Answer:

28 feet

Step-by-step explanation:

To find the distance between them, add 12 and 16 to get 28, it tells how many feet the distance is between the bottom of the pool and the diving board.

Answer:

-1

Step-by-step explanation:

Add '-7x' to each side of the equation.

4 + 3x + -7x = 8 + 7x + -7x

Combine like terms: 3x + -7x = -4x

4 + -4x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0

4 + -4x = 8 + 0

4 + -4x = 8

Add '-4' to each side of the equation.

4 + -4 + -4x = 8 + -4

Combine like terms: 4 + -4 = 0

0 + -4x = 8 + -4

-4x = 8 + -4

Combine like terms: 8 + -4 = 4

-4x = 4

Divide each side by '-4'.

x = -1

Simplifying

x = -1

Answer:

0

Step-by-step explanation:

3x + 4 =7x + 8

group like terms:

3x - 7x = 8 - 4

step 2:

-4x = 4

step 3:

-4x/-4 = 4/-4

therefore -4 will cancel -4 to remain the x :

x = 4/-4

which is equal as 0:

x =0

can you write in text format

Answer:

The translation used to create the image from polygon ABCD to polygon A' B' C' D' is 5 units down.

Step-by-step explanation:

You can see this by observing that all of the y-coordinates in A' B' C' D' are 5 units less than their corresponding y-coordinates in ABCD. Specifically, the y-coordinates of the vertices in ABCD are (-1, -5, -5, -1), and the y-coordinates of the vertices in A' B' C' D' are (-6, -10, -10, -6).

Therefore, the vertical shift or translation used to create the image is 5 units down.

Answer:

5 units down.

Step-by-step explanation:

To solve this question, we need to compare the coordinates of the corresponding vertices of the two polygons and see how they change. A translation is a type of transformation that slides a figure by a certain distance and direction without changing its size or shape. The rule of a translation can be written as (x, y) -> (x + h, y + k), where h and k are the horizontal and vertical shifts, we can see that:

We can see that all the vertices have the same change in their coordinates: x stays the same and y decreases by 5. This means that the translation used to create the image is 5 units down. The rule of this translation can be written as (x, y) -> (x, y - 5). Therefore, the answer is 5 units down.

Answer:

141 in²

Obviously don't write 141 in² because they've already wrote the in² part for you

Answer:

60

Step-by-step explanation:

step one: ADD.

Answer: 60

Step-by-step explanation:

count 6 of your fingers starting from 54 and you should get 60.

Answer:

Step-by-step explanation:

if he runs 9 miles a day for 30 days thats 9x30 its pretty simple math all you have to do is multiply it should be 270 miles in total. np abt the spammage