Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite.

To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below).

The area of the school is

\text{m}^2m

2

start text, m, end text, squared.

Round the final answer to the nearest square meter. Do not round intermediate calculations.

The area of the museum is

\text{m}^2m

2

start text, m, end text, squared.

Round the final answer to the nearest square meter. Do not round intermediate calculations.

Who should win the debate?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Sammy


(Choice B)

B

Marci

Answer:

x = 2

Step-by-step explanation:

(DG + EF) / 2 = AB

(5x - 4 + 8x + 2) / 2 = 12

13x - 2 = 24

13x = 26

x = 2

Answer:

45 sides

Step-by-step explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.

Answer:

Step-by-step explanation:

Hello!

To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:

Sample 1: Compressed soil

X₁: penetrability of a plot with compressed soil.

n₁= 20 plots

X[bar]₁= 2.90

S₁= 0.14

Sample 2: Intermediate soil

X₂: penetrability of a plot with intermediate soil.

n₂= 20 (with outlier) n₂= 19 plots (without outlier)

X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)

S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)

Outlier: 4.26

Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:

Parámeter of interest: μ₁-μ₂

Interval:

[(X[bar]₁-X[bar]₂)±[tex]t_{n_1+n_2-2;1-\alpha/2}[/tex]*Sa[tex]\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }[/tex]]

[tex]t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715[/tex]

[tex]Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20[/tex]

[(2.90-2.29)±2.715*0.20[tex]\sqrt{\frac{1}{20} +\frac{1}{19} }[/tex]]

[0.436; 0.784]

I hope this helps!

Using the t-distribution, it is found that the 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

Using a calculator, we find that for the compressed soil, the mean and the standard deviation are given by:

[tex]\mu_C = 2.9075, s_C = 0.1427[/tex]

For the intermediate soil, omitting the high outlier of 4.26, we have that:

[tex]\mu_I = 3.2895, s_I = 0.2385[/tex]

The distribution of the decrease has mean and standard deviation given by:

[tex]\overline{x} = \mu_I - \mu_C = 3.2895 - 2.9075 = 0.382[/tex]

[tex]s = \sqrt{s_C^2 + s_I^2} = \sqrt{0.1427^2 + 0.2385^2} = 0.2779[/tex]

The interval is given by:

[tex]\overline{x} \pm ts[/tex]

By the conservative method, the amount of degrees of freedom is one less than the smaller sample size, which in this case is 19, for the intermediate soil.

Then:

[tex]\overline{x} - ts = 0.382 - 2.8784(0.2779) = -0.418[/tex]

[tex]\overline{x} + ts = 0.382 + 2.8784(0.2779) = 1.182[/tex]

The 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

A similar problem is given at https://brainly.com/question/15180581

Answer:

-14

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

-1 + (-4) + (-9)

-1 -4 -9 = -14

Note that a positive sign multiplying a negative sign in a bracket gives negative.

Explanation:

Quadrants 2 and 3 houses points that have negative x-values, while as Quadrants 1 and 4 houses points that have positive x-values.

If 'your sister' completes the text with negative y-value, the point would be in Q3.

If 'your sister' completes the text with positive y-value, the point would be in Q2.

Answer:

Q2

Step-by-step explanation:

plzzz give me brainliest plzzz

Answer: Neither function is odd.

Answer:

3

Step-by-step explanation:

a5 = a* r^4 ( from general formular of a GP)

= 243 * (1/3)^4 =. 243 * 1/81 = 3

The required 5th term in the geometric sequence is 3.

For geometric sequence a = 243 and r = 1/3.
fifth term to be determine.

Geometric progression is sequence of series whose ratio with adjacent values remains same.

Here, a = 243 and r = 1/3.
fifth term = [tex]ar^{n-1}[/tex]
              = [tex]243*(1/3)^{5-1}[/tex]
              = [tex]243*(1/3)^4[/tex]
              = 243 * 1/81
              = 3

Thus, the required 5th term in the geometric sequence is 3.
           

Learn more about geometric progression here: https://brainly.com/question/4853032

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Answer:

[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]

Step-by-step explanation:

For this case we know that the base area is [tex]A = 30.38 yd^2[/tex]

And the height is [tex] h = 3.8 ft[/tex]

The volume for a rectangular prism is given by:

[tex] V = A h[/tex]

And replacing the info we got:

[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]

Answer:

Volume = 115.44 cubed yard

Step-by-step explanation:

Given that ;

base area = 30.38 square yards

height = 3.8 yards. ​

The volume for a rectangular prism is length * width * height

Area = length * width

we are given area = 30.38 square yards

Volume = Area * height

Volume = 30.38 square yards *  3.8 yards. ​

Volume = 115.44 cubed yard

Therefore, the answer is  = 115.44 cubed yard

Answer:

to remove the brackets you need to multiple A by C and B by C and the / stays the same so it's (A×C)/(B×C)

Answer

Shown from explanation

Step-by-step explanation:

Imagine we have a set A and a set B such that set B is contained in set A .

Therefore;

A\B is a mathematical notation in set theory that means;

A\B = A-B it means complement of A

Look at the attachment for a better understanding of the concept.

Therefore:

(A\B) ×C = (A-B) × C = AxC - B× C= AC- BC

Similarly;

(A×C)\(B×C) = (AC)\(BC)= AC - BC from set theory.

Hence, (A\B) ×C =(A×C)\(B×C)

Answer:

0/6

Step-by-step explanation:

because there are the numbers from 1-6 and no matter what you add you cant get it lower than 2 (1+1)

Answer:

Step-by-step explanation:

Multiples of 5  =  5  and 10

Ways to roll a 5  =  (1,4) ( 4,1)  (2,3) (3,2)

Ways to roll  a 10   =  (5,5) (4,6) (6,4)

We have  7  possible outcomes for a multiple of 5...and there are   36  possible outcomes in total  

So  P (multiple of 5)    = 7 / 36

Answer:

165 %

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 30 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 30, so we can write it down as 100%=30.

4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.

5. Now we have two simple equations:

1) 100%=30

2) x%=49.5

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=30/49.5

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 30

100%/x%=30/49.5

(100/x)*x=(30/49.5)*x - we multiply both sides of the equation by x

100=0.60606060606061*x - we divide both sides of the equation by (0.60606060606061) to get x

100/0.60606060606061=x

165=x

x=165

now we have:

49.5 is 165% of 30

Please can I get brainliest I worked hard for you

Hope I helped you

Answer:

D

Step-by-step explanation:

Yes, it does because it passes the vertical line test. We don't have to worry about the horizontal line test because it isn't a valid test. For example, let's imagine a parabola. That doesn't pass the horizontal line test, but it's still a function. This means that we can eliminate option B. We can do the same to C because a function doesn't necessarily have to be a straight line (like the parabola). That leaves us with options A and D. These both have to do with the vertical line test, so let's do it! If we place a vertical line anywhere on this graph, we will see that there are no vertical lines that intersect at 2 places with the graph. Therefore, it passes the vertical line test, and is a function. Hope this helps!

Answer:

x = 15

Step-by-step explanation:

2(x - 8) = 14

Use distributive property

2x - 16 = 14

2x = 30

x = 15

Answer: x=-14

Step-by-step explanation:

If the line is perpendicular to the x-axis, that means it is parallel to the y-axis. All lines that are parallel to the y-axis have the form x=. Since we know the line passes through the x value of -14, that means the equation of the line is x=-14.

Answer:

  6 mm

Step-by-step explanation:

In the smaller figure, the short side is 4/28 = 1/7 the length of the long side. Since the figures are similar, the same will be true in the large figure:

  k = (1/7)(42 mm)

  k = 6 mm

Answer: r8

Step-by-step explanation:

The square root of r⁶⁴ is r³².

Here, we have,

The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.

Square root of r⁶⁴:

√(r⁶⁴)

Since the exponent is even (64), we can divide it by 2:

√(r⁶⁴⁻²)

√(r³²)

Therefore, the square root of r⁶⁴ is r³².

To learn more on square root click:

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Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

Double the second equation and subtract the first:

  2(7x +y) -(3x +2y) = 2(19) -(16)

  11x = 22

  x = 2

In the second equation, ...

  7(2) +y = 19

  y = 19 -14 = 5

The solution is (x, y) = (2, 5).

Hi there!

Answer:

-14.98%(or -15%).

Step-by-step explanation:

1)To find the percent decrease,all you have to do is minus the original number from the decreased amount so:

1435-1220= 215

2)Then you divide this answer by the original number again so:

215÷1435= 0.1498

3)Then you times the decimal by 100 so:

0.1489x100= -14.98%(or -15%).

Hope this helps!

Answer:

  -10, -1

Step-by-step explanation:

To complete the square, we add the square of half the x-coefficient:

  x^2 +11x +5.5^2 = -10 +5.5^2

  (x +5.5)^2 = 20.25

Taking the square root, we get ...

  x +5.5 = ±4.5

  x = -5.5 ±4.5 = {-10, -1}

The solutions are x = -10 and x = -1.

Answer:

We know nothing about Dylan so we can not write an expression about dylans weight.

Step-by-step explanation:

B- Bruce's Weight

A- Alan's Weight

B-A= H

Where H is how many more pounds that Bruce weighs than Alan.

Answer:

Bruce's weight in terms of Dylan's weight is 3d-12.

Alan's weight in terms of Dylan's weight is 2d+3

So, the expression (3d-12) -(2d+3) represents how much more  Bruce weighs than Alan.

Step-by-step explanation:

Answer:

20/27 or 0.74

Step-by-step explanation:

The total number of people is: 2+6+5+14 = 27

Total number of people that don't have a cat is: 6+14 = 20

20/27 = 0.74

Answer:

109.59m^3

Step-by-step explanation:

Hope you would understand from the attachment; attachment is a bit blurred at the moment so can't attach it at the moment...not much lightning at my end.

Volume is that of the suppose big pyramid - the suppose small pyramid.

The angle is 45degrees from my calculation.

Volume of big pyramid = (256√2 )/3

Volume of small pyramid= (32√2)/3

256√2 )/3-(32√2)/3= (224√2)/3

The volume of the given trapezoidal prism is 84 m³

A trapezoidal prism is a three-dimensional solid consisting of two identical trapezoidal faces joined together by four rectangular faces.

Given is a trapezoidal prism, we need to find its volume,

So, the volume will be given by = area of the trapezoid x length

= (8+4)x3.5 / 2 x 4

= 84

Hence the volume of the given trapezoidal prism is 84 m³

Learn more about trapezoidal prism click;

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Answer:

3x^2 -20x-32

Step-by-step explanation:

(3x + 4)(x − 8)

Foil

First: 3x*x = 3x^2

outer: -8*3x = -24x

inner: 4x

last: -8*4 =-32

Add them together

3x^2 -24x+4x -32

Combine like terms

3x^2 -20x-32

Standard form is ax^2 +bx+c

Answer:

[tex]3 {x}^{2} + 20x - 32[/tex]

Step-by-step explanation:

[tex](3x + 4)(x - 8) \\ 3x(x - 8) + 4(x - 8) \\ 3 {x}^{2} - 24x + 4x - 32 \\ = 3 {x}^{2} + 20x - 32[/tex]

Answer:

113.04ft^2

Step-by-step explanation:

Like before [tex]A=\pi r^2\\=\pi 6^2\\=113.04ft^2[/tex]

Answer:

x = 28

Step-by-step explanation:

(-14)+x=14

Add 14 to each side to isolate x

14+(-14)+x=14+14

x = 28

Answer:

[tex]x = 28[/tex]

Step-by-step explanation:

[tex] - 14 + x = 14 \\ x = 14 + 14 \\ x = 28[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Hey there!

When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.

If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.

0.6t=48

We divide both sides by 0.6.

t=80

Therefore, there are 80 total kids at the school.

We can also check our answer below.

BOYS: 0.6(80)= 48

GIRLS: 0.4(80)=32

48+32=80

I hope that this helps!

Answer:

B

A

C

Step-by-step explanation:

Simply the inequalities

y - 13 > -85

y > -85 + 13

y > -72

Graph B is the solution

13 < -85 + y

y > 13 + 85

y > 98

Graph A is the solution

y + 13 < -85

y < -85 -13

y < -98

Graph C is the solution

Answer:

B A C

Step-by-step explanation:

Answer:

2. Growth of American Cities

3. Eliminated competition by forming monopolies

4. Explain the differences in income between the rich and poor

5. Put more money into circulation

6. The 14th and 15th amendments

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

First, you'd work out the centre value

It would be the opposite value to what is in the brackets

Thus, the centre value is (2, -4)

Plot this value on a graph

In order to find the radius, you must square root the 25

Thus, the radius would be 5

Plot some points with a radius of 5 from the centre and then draw the circle

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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First, classify each line segments of triangle that are the same in both triangles.

RS = XU

RT = XW

ST = WU

Second, divide to find the scale ratio.

7.5/3 = 2.5

16/6.4 = 2.5

15/6 = 2.5

Since the scale ratios are identical, the triangles are similar.

Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]

Best of Luck!