what is the area of the puzzle pieces above

The length of other base  is 15 cm.

The area of a trapezoid can be found by using the formula:

Area = (b1+b2) * h / 2 where b1 and b2 are the lengths of the bases, and h is the height.

Given that the area of the trapezoid is 135 cm^2, the height is 10 cm, and one base is 12 cm, we can substitute these values into the formula to find the length of the other base.

Area = (b1+b2) * h / 2 = 135cm^2

We can solve for the other base length by isolating b1

b1 = 2*Area/h - b2

b1 = 2*135/10 - 12 = 27 - 12 = 15

So, the other base length is 15 cm.

Therefore, The length of other base  is 15 cm.

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Answer:

Step-by-step explanation:

Aubrey's Pie Shop recently sold [tex]20[/tex] pies in total, [tex]6[/tex] of them being cherry pies, so the experimental probability is [tex]\dfrac{6}{20} = \dfrac{3}{10} = 30\%[/tex] chance of the next one being a cherry pie.

Answer:

58 units²

Step-by-step explanation:

Using Pythagoras identity

The square on the hypotenuse ( third side ) is equal to the sum of the squares on the other 2 sides, then

area = 7² + 3² = 49 + 9 = 58

Step-by-step explanation:

Firstly: using pythagoras theorem

Hyp^2=adj^2+opp^2

Let the hyp be x

X^2=7^2+3^2

X^2=49+9

X^2=58

X=Square root 58

Let the side is root 58

Area of a square is L^2

Root 58×root 58

The area of the square is 58unit squ

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As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.

Here,

Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.

This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.

Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.

As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

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The required inequality expression for the third side is 1 < m < 25. The correct option is (B).

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The sides of the triangle are given as 12 and 13 units respectively.

As per the rule for sides of a triangle, the third side is always less than the sum and greater than the difference of two sides.

Then, the inequality can be written as,

13 - 12 < m < 13 + 12

⇒ 1 < m < 25

Hence, the measure of third side can be written in inequality as 1 < m < 25.

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Answer:

Cubic

Step-by-step explanation:

Answer:

cube

Step-by-step explanation:

The equation of the line perpendicular to x - 4y = 7 can be written as:

y = 4*x + b

Where b could be any real number.

Two lines are perpendicular if the product between the slopes of the lines is equal to -1.

Where a general line in the slope-intercept form is written as:

y  =a*x +b

And the given line is:

x - 4y = 7

Writing this in the slope-intercept form we will get:

-4y = -x - 7

y = (-1/4)*x + 7/4

So the slope is -1/4, then the slope of our line must be such that:

a*(-1/4) = -1

a = -4*-1 = 4

a =4

So the line perpendicular to the given one is:

y = 4*x + b

Where b can be any real number.

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Answer:

d)  48

Step-by-step explanation:

1/6n = 4 + 1/12n

2/12n = 4 + 1/12n

subtract 1/12n from each side to get:

1/12n = 4

cross-multiply:

n = 48

Answer:

A)

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation: 2 weeks late >_<

Answer:

Step-by-step explanation:

Answer:

1. (-4,-2) (4,-2)

2. (4,1)(7,1)

Step-by-step explanation:

The missed value in the frequency tree is 224.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that 400 people are asked if they drink tea.

7/10  say Yes and  20% of the people who say Yes drink at least 3 cups each day

7/10 of 400 is 280

Which means 280 people drink tea.

The remaining people does not drink tea.

Remaining =400-280=120.

Now let us find 20% of 280

20/100×280

0.2×280=56

So 56 drink at least 3 cups each day.

280-56=224

So 224 people drink tea but not three cups.

Hence, the missed value in the frequency tree is 224.

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Answer: HL

Step-by-step explanation:

HL because the hypotenuse leg theorem shows how a given set of right triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.

Answer:

x = -8 (10

Step-by-step explanation:

x (x + 16) = -64

-8(10 + 16) = -64

-80 + 16 = -64

-64 = -64

Answer:

I'd take the job... althou I am a kid so money is like worth a lot to me

Hope this helps

plz like and brainly :D

would help me

Answer:

Step-by-step explanation:

analyze the graph, we found ∠1=∠5,∠2=∠6,

one.because ∠5+∠6=180, so ∠2=∠6=180-∠5=180-55=125

two.∠3=∠2=125

three.∠8=∠5=55

four.∠12=∠9=80

five.∠14=∠10=180-∠9=100

so, the three options are ∠2,∠8,∠14

As per the decimal number system, the cost of 25 tickets is $32.5

The term decimal in math is defined as the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Here we have given that the product of 3 student tickets at $4.

Here we have know that the ticket cost for 3 students is $4.

Then the cost of one person is calculated by dividing the cost by the number of students then we get,

=> 4/3

=> 1.3

So, if the cost for one person or ticket is $1.3 then the cost of 25 tickets is calculated as,

=> 25 x 1.3

=> 32.5

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Christian Mansell (born 9 February 2005) is an Australian racing driver set to compete in the 2023 FIA Formula 3 Championship with Campos Racing. He previously competed in the 2022 Neuroforamina Open Championship for Crypto Tower Racing, finishing in third overall in the standings.

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The final value of a_5 is 27a.
The equation a_n=a_{n-1}+5a is a recursive formula that gives the value of a_n in terms of the value of a_{n-1}. To find the value of a_5, we need to apply this formula repeatedly, starting with the given initial value of a_1=7a.

Using the recursive formula:

a_2 = a_1 + 5a = 7a + 5a = 12a

a_3 = a_2 + 5a = 12a + 5a = 17a

a_4 = a_3 + 5a = 17a + 5a = 22a

a_5 = a_4 + 5a = 22a + 5a = 27a

so a_5 = 27a

This is the final result and no need to calculate more.

Thus the final value of a_5 is 27a.

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Answer:

[tex]\large \mathbb{ANSWER:-}[/tex]

Sum of the numbers = 3

One number = 6

Other number = 8x

⎇ Equation = 8x + 6 = 3

Other number = ?

[tex]8x + 6 = 3 \\ 8x = 3 - 6 \\ 8x = - 3 \\ x = \frac{ - 3}{8} \\ x = - 0.375 [/tex]

➟ The value of x in fraction form is - 3/8 while in decimal form is - 0.375

[tex]8x = (8 \times \frac{ - 3}{8} ) \\ 8x = - 3[/tex]

⎆ The value of 8 times a number or 8x is - 3.

Answer:

Fraction form of the answer is -3/8. Decimal form is 0.375

Step-by-step explanation:

Change this into a number equation ----->   8x + 6 = 3

Answer: 6.2

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

15+x=20

or, x=20-15

or, x=5

Answer:

first term(a)= 80

common ratio(r)= t2/t1 =40/80 =1/2

T4= ar^n-1

= 80*1/2^4-1

=80*1/2^3

=80*1/8

=10

then

t5=ar^n-1

= 80*1/2^5-1

=80*1/16

=5

20 dodgeballs have been pumped up by Ttaloc.

Ttaloc has 36 additional pumped-up balls.

The complete ball's original number is 14.

The relationship between two or more numbers is expressed by the ratio. It displays the frequency of how often one value is encapsulated by another value (s).

The number of dodgeballs Ttaloc pumped up = (5/14) x 56 = 20

The number of other balls Ttaloc pumped up = (9/14) x 56 = 36.

A ratio in mathematics demonstrates how many times one number is present in another.

A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.

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Answer:

The function that correctly depicts the scenario is:

cost(n) = 18.50 * 1.06^n

This function takes the number of years n as input and returns the cost of eating at the all-you-can-eat buffet after n years.

The cost of eating at the all-you-can-eat buffet 10 years from now can be calculated as follows:

cost(10) = 18.50 * 1.06^10 ≈ $30.59

The cost of eating at the all-you-can-eat buffet 15 years ago can be calculated as follows:

cost(-15) = 18.50 * 1.06^(-15) ≈ $8.01

Step-by-step explanation:

Answer:

162cm squared

Step-by-step explanation:

The perimeter of a rectangle can be calculated by length+length+width+width.

We know the length is 18, so our equation of finding the width is:

54-(18*2) divided by 2.

54-36=18.

18/2=9.

The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.

18*9=162

To know if a triangle is a 30-60-90 triangle, you must check if the triangle's angles measure 30°, 60°, and 90°. Additionally, the sides of a 30-60-90 triangle will have a specific ratio. The longest side of the triangle is always double the length of the shortest side, and the side opposite the 60° angle is always the square root of 3 times the shortest side.

1. Measure the angles of the triangle.

2. Check if the angles measure 30°, 60° and 90°.

3. Measure the sides of the triangle.

4. Check if the longest side is double the length of the shortest side and if the side opposite the 60° angle is the square root of 3 times the shortest side.

To know if a triangle is a 30-60-90 triangle, you must check if the triangle's angles measure 30°, 60°, and 90°. Additionally, the sides of a 30-60-90 triangle will have a specific ratio. The longest side of the triangle is always double the length of the shortest side, and the side opposite the 60° angle is always the square root of 3 times the shortest side.

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Answer:

Step-by-step explanation:

Answer E is the only one that is close

Answer: The answer is -ing (D)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

12 × 3 = 36

12 × 5 = 60

36 + 60

Have a good day :)

Answer:

3

Step-by-step explanation:

Let's double check:

12 x 3 = 36

12 x 5 = 60

36 + 60, it fits!