Heather built a geometrically similar model of the great pyramid. The height of the actual pyramid is approximately 147 meters. Heathers model is 98 millimeters in height. The width of the base of the actual pyramid is 231 meters. Which measurement is closest to the width of the base of Heathers model?

Final answer:

The areas of the parallelograms are calculated by multiplying the base by the height. The first parallelogram's area is 32 m², and the second parallelogram's area is 140 in².

Explanation:

Natalia is calculating the areas of parallelograms using the formula Area = base × height. For the first parallelogram with a base (b) of 8 meters and a height (h) of 4 meters, the area will be:

Area = base × height = 8 m × 4 m = 32 m².

For the second parallelogram given by her friend, with a base (b) of 14 inches and a height (h) of 10 inches, the area will be:

Area = base × height = 14 in. × 10 in. = 140 in².

This formula is essential for understanding the relation between the dimensions of a parallelogram and its surface area.

The negative solution is - 1.

let

the number = x

When 5 is subtracted from the square of a number can be represented as follows;

The result is 4 times the number. The remaining part of the equation can be represented as follows:

Lets find the negative solution below

x²- 5 - 4x = 0

x² - 4x - 5 = 0

x² + x - 5x - 5 = 0

x(x + 1) -5(x + 1)

(x-5)(x + 1)

x = 5 or -1

Therefore, the negative solution is - 1.

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By solving the quadratic equation x^2 - 5 = 4x, we get two solutions: x = 5 and x = -1. The negative solution to this equation is x = -1.

Let's denote the unknown number as x. The problem statement translates to the equation x2 - 5 = 4x. To find the negative solution, we must solve this quadratic equation.

First, we move all terms to one side to get x2 - 4x - 5 = 0.

We then factor this quadratic if possible or use the quadratic formula. In this case,

(x - 5)(x + 1) = 0.

Setting each factor equal to zero gives us the solutions x = 5 and x = -1.

The question asks for the negative solution, so x = -1.

Answer:

bbcs

Step-by-step explanation:

msade rekfflg.g

Answer:

you add all the number up and divide by how many numbers there are.

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

Step-by-step explanation:

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Answer:

6800 toothpicks

Step-by-step explanation:

Capacity (how many can be held) is another word for volume.

The equation for volume is

V = lwh

And in the regular-sized box V = 850 toothpicks, so

850 = lwh

We need to double each dimension. Multiply length by 2, width by 2, and height by 2. 2*2*2 = 8, so multiply both sides by 8.

8* 850 = 8 * lwh

6800 = lwh

The jumbo box can hold 6800 toothpicks.

The jumbo box will hold 1700 toothpicks.

The volume of cylinder is given by -

V = πR²h

Given is that there are 850 toothpicks in a​ regular-sized box. A jumbo box is made by doubling all the dimensions of the​ regular-sized box.

The volume {V} cubic units of the box can hold 850 toothpicks.

The volume {1} cubic units of the box can hold (850/V) toothpicks.

The volume {2V} cubic units of the box can hold (850/V x 2V) toothpicks.

(850/V x 2V)

850 x 2

1700

Therefore, the jumbo box will hold 1700 toothpicks.

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Answer:

There are a total of  

✔ 12

strawberries.

There are a total of  

✔ 2

people.

The expression to find the mean, or balance point, is  

✔ 12/2

✔ Ona

should give 2 strawberries to  

✔ Barton

for the number of strawberries to be balanced.

Step-by-step explanation:

Barton only has four strawberries and needs two more, while Ona has eight and will share two.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Barton has 4 strawberries and Ona has 8 and they want to redistribute their strawberries so they each have an equal number.

We'll apply division by splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

In order for Ona and Barton to have the same number of strawberries, the total number of strawberries must be divided in two.

=(8 + 4) / 2

= 12 /2

= 6

Thus, Barton only has four strawberries and needs two more, while Ona has eight and will share two.

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Answer:

7231cm^2

Step-by-step explanation:

Please kindly check the attached file for explanation.

Answer:

The area of the octagon stop sign to the nearest square centimetres is 187 cm²

Step-by-step explanation:

The stop sign is in the shape of a regular octagon, therefore, the area is given by the following relation;

Area of regular octagon = 2 × (Side Length)² × (1 + √2)

Where:

Side Length = 38.7 cm

Area of regular octagon = 2 × 38.7 × (1 + √2) = 186.86 cm²

The area of the octagon stop sign = 186.86 cm²

The area of the octagon stop sign to the nearest square centimetres = 187 cm².

Answer:

-2

Step-by-step explanation:

Set up the equation where the number is x

5x=x squared -14

minus the 5x to make a quadratic equation

[tex]x^{2}[/tex]-5x-14=0

factor the equation

(x-7)+(x+2)=0

then you can find the opposites of the consonants,and find the negative answer is -2

Answer: The actual distance is 40 miles.

Step-by-step explanation:

First, it’s always easier for the first unit to be 1, so it’s easier to convert. To do get one from 1/4, you would multiply by 4.

1/4 x 4 = 1

However, we all know that if you do something to one side, you must do it to the other side, so we multiply 5 by 4.

5 x 4 = 20.

Your equation know looks like this:

1 inch = 20 miles.

Now, we just multiply both sides by 2, since that the amount of inches we need.

1 x 2 inches = 20 x 2 miles

2 inches = 40 miles

Therefore, the actual distance is 40 miles.

Answer:

A = 36 pi in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (6)^2

A = 36 pi in^2

Answer:

36pi in²

Step-by-step explanation:

Area = pi × r²

= pi × 6²

= 36pi

Answer:

The mode is 8

Step-by-step explanation:

Answer: 8 is the mode.

Step-by-step explanation:

Basically when finding the mode you have to find the number that was used the most. So I’m this case 8 was listed twice which makes it the mode!

Answer:

There are two possibilities for the number. They are 3531902 and 3135902

Step-by-step explanation:

(i) Given that the sum of the digits = 23

(ii) Largest digit is in the hundreds place (5th digit)

(iii) Smollest digit is in the tens place (6th digit)

(iv) Millions and tens thousands digits are the same, (1st and 3rd digit)

(v) Hundreds place is my only composit number(5th digit)

The composite numbers < 10 are 4, 6, 8, 9

(vi) Since the number is an even number, the 7th digit must be either 0,2,4,6,8.

It cannot be 4,6,8 due to case (v) and it cannot be 0 due to case (iii), hence 7th digit is 2 and the 6th digit has to be 0.

(vii) 5th digit has to be either 6,8 or 9, and by making it as 6 or 8, there are less options and it doesn't satisfy other conditions and so 9 is the 5th digit.

The 1 - 4 digits has to be filled by 1,3,5,7. By probability and case (i), there are 2 combinations, they are 3531902 and 3135902.

Answer:

1.  [tex]\( f\circ g(x)=0.05x-150[/tex]

2. [tex]\( g\circ f(x)=0.05x-3000[/tex]

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

                                                             [tex]\( f\circ g(x)=f(g(x)) \)[/tex]    

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

       [tex]f(g(x)=0.05(x - 3000)[/tex]

       [tex]f(g(x))=0.05x-150[/tex]

2. The composition of the function

                                                             [tex]\( g\circ f(x)=g(f(x)) \)[/tex]                                                                  

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

      [tex]g(f(x))=((0.05x)-3000)=0.05x-3000[/tex]

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

  [tex]f(g(x)=0.05(x - 3000)[/tex]

       [tex]f(g(x))=0.05x-150[/tex]

Answer:

-7/4

Step-by-step explanation:

We can find the slope of a line passing through two points by using

m = (y2-y1)/(x2-x1)

   = (-2 -5)/(1 - -3)

   = -7/ (1+3)

    = -7/4

Answer:

10 pull

As 48 seconds + 20 seconds push = 68 seconds

Step-by-step explanation:

Because she did 10 push = 20 seconds = 2 seconds each

12 pull = 48 seconds  = 4 seconds each

= 68 seconds combined.

Workings;

18 seconds found for the first set

We then find a divider of 68 and know that

6 x 3 = 18 seconds push

12 x 3 =36 seconds pull  T= 54

14 left over = 1 x 12 seconds pull

+ 2 seconds push

= 10 push = 20 seconds combined.

= 12 pull = 48 seconds combined.

68/24 = 2.8- so 14 x 2 = 28 and 10 x 4 = 40 so the answer is 14 push and 10 pull

Answer:

It's 10.

Step-by-step explanation:

I just got it right on my unit test review.

Answer:i think its 15 because if you take the km numbers and subtract them

Step-by-step explanation:

9514 1404 393

Answer:

  1/15

Step-by-step explanation:

The only area that is a multiple of 4 and 3 is the one marked with a 12. The probability that the spinner will land on any one of the 15 areas is 1/15.

The probability of landing on a number that is a multiple of both 4 and 3 when spinning a spinner with 15 equal areas numbered 1 through 15 is 1/15, since there is only one number that satisfies both conditions, which is the number 12.

To determine the probability that the result is a multiple of 4 and a multiple of 3 when spinning a spinner with 15 equal areas numbered 1 through 15, we first need to find the numbers on the spinner that meet both criteria.

A multiple of 4 and 3 is also a multiple of 12, since lcm(4,3) = 12. The multiples of 12 within the range of numbers 1 through 15 are just the number 12 itself. So there is only one number on the spinner that is a multiple of both 4 and 3.

The probability (P) of landing on that number is:

P = (Number of favorable outcomes) / (Total number of possible outcomes)

P = 1 / 15

Therefore, the probability is 1/15

Answer:

5

Step-by-step explanation:

First, get the number of green bracelets

Since they are 1/6, then this is equivalent to 1/6*12= 2 bracelets

Number of blue and green will be the sum of blue which is given as 5 and green already found to be 2

Blue and green=2+5=7

To get the number of red, we deduct the total blue and green feom the overal total

No. of red will be 12-7=5

Therefore, 5 bracelets are red

Answer:

Mika will have 0 dollars after 6 days.

Just by looking at this question, I dont know what im supposed to solve. Im guessing we are just trying to find how many days until Mika runs out of money.

Mika has $12 and spends $2 each day.

If we turn this into an equation, we will get 12-2x=0

12-2x=0       subtract 12 from both sides

-2x=-12        multiply both sides by -1

2x=12           divide by 2

x=6

Mika will run out of money in 6 days

Answer:

1= 8

2= 1

3= ¼

Step-by-step explanation:

Let me choose 2. 2 becomes my base.

When the exponent is 3

1. 2³ = 2 * 2 * 2

= 8

When the exponent is 0

2. 2^0.

From the laws of indices. Exponent zero to any number = 1.

Therefore, 2^0 = 1

When the exponent is = -2

3. 2 `² = ¹/2 * 2

= ¼

Answer:

0.025

Step-by-step explanation:

-This is a conditional probability problem.

-Let L denote lens defect and C charging defect.

#We first calculate the probability of a camera having a lens defect;

[tex]P(lens)=\frac{Lens}{Total}\\\\=\frac{20}{800}\\\\=0.025[/tex]

#Calculate the probability of a camera having a charging defect:

[tex]P(Charging)=\frac{Charging}{Total}\\\\=\frac{25}{800}\\\\=0.03125[/tex]

The  the probability that a camera has a lens defect given that it has a charging defect is calculated as:

[tex]P(L|C)=\frac{P(C)P(L)}{P(C)}\\\\=\frac{0.025\times 0.03125}{0.03125}\\\\=0.025[/tex]

Hence,  the probability that a camera has a lens defect given that it has a charging defect is 0.025

The probability that a camera has a lens defect given that it has a charging defect is 6/25 or 0.24.

The question asks for the probability that a camera has a lens defect given that it has a charging defect. To find this probability, we use the concept of conditional probability. From the data given, 25 cameras have charging defects and 6 cameras have both defects. The probability that a camera has both a lens and charging defect among those with a charging defect is:

P(Lens defect | Charging defect) = P(Lens and Charging defect) / P(Charging defect)

Which translates to:

P(Lens defect | Charging defect) = Number of cameras with both defects / Number of cameras with charging defects

P(Lens defect | Charging defect) = 6 / 25

Therefore, the probability is 6/25 or 0.24.

The toy's height after 0-4 seconds can be found by substituting different values of t into the given equation.

The equation given to model the toy's height is h = -2t^2 + 7t + 4, where h is the height in feet and t is the time in seconds. To find the height of the toy after 0-4 seconds, we substitute different values of t into the equation.

For t = 0, h = -2(0)^2 + 7(0) + 4 = 4 feet.

For t = 1, h = -2(1)^2 + 7(1) + 4 = 9 feet.

For t = 2, h = -2(2)^2 + 7(2) + 4 = 12 feet.

For t = 3, h = -2(3)^2 + 7(3) + 4 = 11 feet.

For t = 4, h = -2(4)^2 + 7(4) + 4 = 4 feet.

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Answer: I believe it will take Bobby 2 more hours to hike 12 miles in total it’s 6 hours

Bobby will spend 6 hours hiking on Sunday.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that On Saturday, Bobby spent 4 hours hiking 8 miles. On Sunday, Bobby plans to hike 12 miles.

WE need to find the time he will spend hiking on Sunday.

Then 4 hours hiking =  8 miles.

12 miles = 4/8 x 12

= 1/2 x 12

= 6

Hence, it will take Bobby 2 more hours to hike 12 miles.

thus, he will spend 6 hours hiking on Sunday.

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Answer:

yes

[tex] - \frac{4}{3} p + ( - \frac{2}{5} ) = - \frac{4}{3} p - \frac{2}{5} [/tex]

Step-by-step explanation:

Because ,

[tex]( + ) \times ( - ) = ( - )[/tex]

Answer:

2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

trust

Answer:

3 Pennies

Step-by-step explanation:

8 - 5 = 3, sally would have 3 left

Answer:

3 pennies

Step-by-step explanation:

Basically since she only has 8 pennies, and she used 5 of them, you subtract.

8-5=3

She has 3 cents.

Answer:3 1/2

Step-by-step explanation: