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A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.

A polygon with a horizontal top side labeled 50 yards. The left vertical side is 35 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 18 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 20 yards.

What is the area of the playground?

1,750 square yards
1,855 square yards
2,730 square yards
3,710 square yards

The scale is 1cm = 50m

So height in model = 381/50

                                = 7.62cm

Answer: 7 31/50 cm

Step-by-step explanation:

The scale is 50 m = 1 cm

381 divided by 50 is 7 r31

This means that the height of his model in centimeters is 7 31/50 cm.

Hope this helps!

Answer: The answer is A. 10 ft, 24 ft, 25 ft

Step-by-step explanation: I used a ruler and did everything in cm and the only one that worked was A.

Answer:

A. 10 ft, 24 ft, 25 ft

Step-by-step explanation:

Answer:

One pattern that can be observed in the repeated table is that each number is obtained by adding 0.09 to the previous number.

Step-by-step explanation:

For example, to get from 0.09 to 0.18, we add 0.09. To get from 0.18 to 0.27, we add 0.09 again, and so on. This pattern continues throughout the table, with each number being 0.09 greater than the previous number.

Part A - In the given table we can observe that there is a continuous table of 0.09 till 0.63.

Part B - The table is in the ‘Step by step explanation’

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Answer:

3821.05

Step-by-step explanation:

To find the volume of a sphere, use the formula [tex]4/3\pi r^3[/tex].

Replace R with 9.7 because the diameter is 19.4 and the radius would be half of that, and the question said to use 3.14 as pi.

So it would be: [tex]4/3*3.14*9.7^3[/tex]

Which would equal: 3821.05

Answer:

1.5

Step-by-step explanation:

[tex]30\div20[/tex]

The solution is, the scale factor is 1.5.

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

from the given diagram, we get,

there are two squares with side 20 and, 30

one square is scaled copy of the other,

so, the scale factor is :

length of scaled square/ length of normal square

= 30/ 20

=3/2

=1.5

Hence, The solution is, the scale factor is 1.5.

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Answer: 4,763cm

Step-by-step explanation:

figure out the first rectangle, 70 x 48=  3360

Then find the bottom number with the inner height 38 x 23 = 874

Next, you would move the triangle that is dotted over to the undotted on on the right to get a square giving you 23 x 23 = 529

In the end you add it all 3,360 + 874 + 529 = 4,763

Answer:

2in cubed

Step-by-step explanation:

since one side is 1/3 inches and they're 6 sides in a cube

We can do 1/3 x 6 which gives us 2 inches cubed

Answer:

The answer is 4/6, or 2/3 if simplified.

1: Not a multiple of 2 or 3

2: A multiple of 2

3: A multiple of 3

4:A multiple of 2

5: Not a multiple of 2 or 3

6:A multiple of 2 and 3

Answer: A is incorrect

Step-by-step explanation:A. 0 < -4, the value 0 is greater than negative 4. So, this is incorrect.

B. -9 < 1, the value 1 is greater than negative 9. So, this is correct.

C. 2 > -3, the value 2 is greater than negative 3. So, this is correct.

D. -7 < -5, the value negative 5 is greater than negative 7. So, this is correct.

√50 = 7.071

So the dot will be very close to the right side of 7.

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Mark BRAINLIEST

Answer:

Step-by-step explanation:

To divide rational numbers, remember the rules of dividing positive and negative numbers: If the dividend and divisor have the same sign, the quotient is positive

Answer:

Step-by-step explanation:

6.25 inches

Fraction of an inch that is used to represent 3 miles = 3/4 inch (0.75 inch)

Number of miles that is used to represent 3/4 inch = 3 miles

Fraction of an inch that is used to represent 1 mile = 3/4/3 inch

                                                                                        = 0.75/3

                                                                                        = 0.25 inch

Number of inches that are used to represent 25 miles = 3/4/3 * 25

                                                                                              = 0.75/3 * 25

                                                                                              = 0.25 * 25

                                                                                              = 6.25 inches

So the length of the map = 6.25 inches

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To expand the square of the binomial `(4x-5y)²`, you can use the FOIL method or the binomial square formula:

Using FOIL:

(4x - 5y)² = (4x - 5y)(4x - 5y) (writing out the square as a multiplication of the binomial by itself)

= 16x² - 20xy - 20xy + 25y² (using the FOIL method)

Simplifying:

= 16x² - 40xy + 25y²

Using the binomial square formula:

(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)² (formula: (a - b)² = a² - 2ab + b²)

= 16x² - 40xy + 25y²

Thus, the expanded form of the binomial `(4x-5y)²` is `16x² - 40xy + 25y²`.

Answer:

i do not know where the following is but here.

Step-by-step explanation:

To square the binomial (4x-5y)², we can use the formula:

(a - b)² = a² - 2ab + b²

In this case, a = 4x and b = 5y. So, we have:

(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)²

Simplifying the terms inside the parentheses, we get:

= 16x² - 40xy + 25y²

Therefore, the square of the binomial (4x-5y) is equal to the trinomial 16x² - 40xy + 25y².

Each term in the trinomial is obtained by squaring the corresponding term in the binomial and then applying the formula for the cross-product (-2ab).

So, (4x)² = 16x², (5y)² = 25y², and (-2)(4x)(5y) = -40xy.

Therefore, (4x-5y)² = 16x² - 40xy + 25y².

Answer:

A3

B1

C2

D4

Step-by-step explanation:

Answer:

y = 6

z = 3.25

x = 3.5

Step-by-step explanation:

12 * 0.5 = 6

6.5 * 0.5 = 3.25

7 * 0.5 = 3.5

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches

Length of the larger tissue box = 12 inches

Breadth of the larger tissue box = 6.5 inches

Height of the larger tissue box = 7 inches

The small tissue box is dilated by - 0.5

So, the measures of the smaller tissue box is 0.5 times the larger tissue box.

Measures of the smaller box will be -

Length of the smaller tissue box = 12 * 0.5

                                                        = 6 inches

Breadth of the smaller tissue box = 6.5 * 0.5

                                                          = 3.25 inches

Height of the smaller tissue box = 7 * 0.5

                                                        = 3.5 inches

According to the variables,

X = Height

Y = Length

Z = Breadth

Height = 3.5 inches

Length = 6 inches

Breadth = 3.25 inches

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches

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Answer: It would take her 45 minutes to jog 5 miles because first you have to divide 27 by 3 and you get 9 and then you multiply 9 by 5 and you get 45

Answer:

x= 2.5 and -3.5

Step-by-step explanation:

To solve the equation Ix+1/2I=3, we can break it down into two cases: one where x+1/2 is positive, and one where x+1/2 is negative.

Case 1: x+1/2 is positive

In this case, the absolute value of x+1/2 is equal to x+1/2 itself. So we can rewrite the equation as x+1/2=3. To solve for x, we subtract 1/2 from both sides: x=3-1/2. Simplifying further, we have x=2.5.

Case 2: x+1/2 is negative

In this case, the absolute value of x+1/2 is equal to -(x+1/2). So we can rewrite the equation as -(x+1/2)=3. To solve for x, we first distribute the negative sign: -x-1/2=3. Then, we add 1/2 to both sides: -x=3+1/2. Simplifying further, we have -x=3.5. To isolate x, we multiply both sides by -1: x=-3.5.

So, the solution to the equation Ix+1/2I=3 is x=2.5 and x=-3.5.

4.9 × 10^( -5 ) + 0.0005 =4.9x10^(-5)+5x10^(-4)=

=5.49x10^(-5)=5.49e-5=5.49E(-5)

Which in scientific notation is written as 5.49e-5, where e-5 is the same as 10^(-5).

This answer can also be written as 5.49E(-5) in scientific notation.

Answer: i think its b

Step-by-step explanation:

a. The outlier in the data set is Crater lake with a depth of 1,148 feet.

b. The outlier has a significant effect on the mean and range of the data but no effect on the median and mode.

c. The median and mode are measures of center that are less influenced by outliers, so they best describe the data with or without the outlier.

An outlier is a single data point that deviates significantly from the average value of a set of statistics. Outliers are exceptions that exist outside of individual population samples.

The mean is heavily influenced by outliers, so the outlier in this case increases the mean depth of the lakes. The range is the difference between the highest and lowest values, so the outlier also increases the range.

Without the outlier, the median depth is 33.5 feet, which is closer to the majority of the depths in the data set. Therefore, the median is the best measure of center for this data set without the outlier. With the outlier included, the median depth is still 43 feet, and the mode is also 43 feet, so either measure could be used to describe the center of the data set.

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Answer:no

Step-by-step explanation:

it does not have 4 sides.

Answer:

Step-by-step explanation:

For Keiko's trend line equation, we have t = 0.95a + 59. Plugging in a = 16, we get t = 0.95(16) + 59 = 74.2. Rounding to the nearest whole number, we get t ≈ 74.

For Eric's trend line equation, we have t = 0.55a + 90. Plugging in a = 16, we get t = 0.55(16) + 90 = 98.8. Rounding to the nearest whole number, we get t ≈ 99.

Therefore, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation. So, the answer is Keiko = 74, Eric = 99.

The solution is, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

For Keiko's trend line equation,

we have t = 0.95a + 59.

Plugging in a = 16,

we get t = 0.95(16) + 59 = 74.2.

Rounding to the nearest whole number, we get t ≈ 74.

and, we have,

For Eric's trend line equation,

we have t = 0.55a + 90.

Plugging in a = 16,

we get t = 0.55(16) + 90 = 98.8.

Rounding to the nearest whole number, we get t ≈ 99.

Therefore, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation.

So, the answer is Keiko = 74, Eric = 99.

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The property of the given expression [tex]2(x +3) = 2x + 6[/tex] is an example of Distributive property.

You distribute the 2 to the x and get 2x, then distribute the 2 and the 3. [tex]2\times3=6[/tex]. This gets you [tex]2x+6[/tex].

Answer: Distributive property over addition

Step-by-step explanation: You are distributing 2 to in terms inside the parentheses, x and 3.

Question:

whats the surface area of this rectangle?

1cm 8cm 4cm

Answer:

13 cm

Answer:

Original box costs less than the new box.

Step-by-step explanation:

A). original box has a surface are of 216 sq in

2(10x6)+2(6x3)+2(10x3) = 216sq in

216sq in/144sq in = 1.5sq ft

1.5 sq ft x .22 = .33 per sq ft

B) new box has a surface area of 434 sq in

2(15x11) + 2(11x2) + 2(15x2) = 434 sq in

434sq in/144 sq ft = 3.01sq ft

3.01 sq ft x .15 = .45 per sq ft