Rectangle pqrs had vertices p(-4,3),q(-2,5),r(3,0) and s(1,-2). the diagonals of the rectangle bisect eachother. atwhich point do the diagonals intersect?

The ordered pair is a solution to the system of equations

Verify

[tex]2x+y=-5\\2(-3)+1=-5\\(-6)+1=-5\\-5=-5\\LS=RS[/tex]

[tex]4x+2y=-10\\4(-3)+2(1)=-10\\-12+2=-10\\-10=-10\\LS=RS[/tex]

The statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

So, in this case, Mai did sampling(sample of 30 students was selected) instead of working on entire population (all students of her school).

In her sample, she found that 27 out of 30 students think its a good idea to start and end the school day an hour later than usual.

So, from sample, 90% of those 30 students think  it’s a good idea to start and end the school day an hour later than usual.

And yes, we can use this data to approximate or predict about the percentage of students who think  it’s a good idea to start and end the school day an hour later than usual.

But we cannot surely say that it will be exactly 90%.

The only statement we can give about the population is:

Almost (or such unsure wordings) 90% of all of the students in the school think it’s a good idea to start and end the school day an hour later than usual!

Thus, the statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.

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Answer:

x = 5/3

General Formulas and Concepts:
Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify given.

y = 3x - 2

y = 3

Step 2: Solve for x

∴ the value of x when y = 3 is equal to 5/3, or approximately 1.67.

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Topic: Algebra I

Answer:

C

Step-by-step explanation:

irst check if the triangle is right.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side =  and ( )² = 12

2² + ( )² = 4 + 8 = 12

Thus the triangle is right → C

Answer:

C

Step-by-step explanation:

number 2 is y/x because its the reciprical of sine of angle YZ so the answer is C.

Answer:10

Step-by-step explanation:

Answer:

death they die because of radioactivity

Step-by-step explanation:

Answer:death they die because of radioactivity

Step-by-step explanation:

The total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The total surface area of a cone is given by its curved surface area plus area of its base.

Total surface area = curved surface area + area of base

Total surface area = πrl + πr²

Given that;

Total surface area = πrl + πr²

Total surface area = ( π ×  5cm × 9cm ) + ( π × (5cm)² )

Total surface area = 45πcm² + 25πcm²

Total surface area = 70πcm²

Therefore, the total surface area of the cone with the given radius and slant height in terms of pi is 70πcm².

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Answer:

70

Step-by-step explanation:

Answer:

y=x+5

Step-by-step explanation:

If manny paid $114.03 for the items purchased , then he paid the correct amount .

The first step is to determine the total cost of all the items purchased.

Total cost = $32.65 + (3 x $14.89) + $39.99 = $117.02.

Now, determine the cost after the promotional sale: (100 - 10%) x $117.02 = $105.32

The last step is to determine the total cost after tax: (1.08) x 105.32 = $114.03

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Answer:c

Step-by-step explanation:

trust

The total meters in the wall which is build by a construction company at a rate of 30 cm of the wall per minute, is 16 meters.

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

W=1/n

A construction company is building a wall. The company can build 30 cm of the wall per minute. In 40 minutes the total cm of wall build by company is,

n=40/30

n=1200 cm

n=12 m

After 40 minutes, three fourth of the wall is completed, which is equal to the 12 meters. Thus, the total meter of the wall is,

(3/4)x=12

x=(12x4)/3

x=16 m

Thus, the total meters in the wall which is build by a construction company at a rate of 30 cm of the wall per minute, is 16 meters.

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There are 4 terms

Yw :D

Answer:

Here is the solution...hope it helps :)

Answer:

b is the answer

Step-by-step explanation:

I took the test

Answer: the answer is b . Which is the second choice ( 24)

Step-by-step explanation: HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

The amount of calvin’s starting balance for the next month will be C. $625.91.

From the information given, the monthly percentage rate will be:

= 14.75/12

= 1.22%

Therefore, the amount of calvin’s starting balance for the next month will be $625.91.

In conclusion, the correct option is C.

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Answer:

Step-by-step explanation:

c

Answer: 11

Step-by-step explanation:

Answer:

443.666

Step-by-step explanation:

because i used a caulculator boiiiiiiii

Answer:

DIY

Step-by-step explanation:

Although I would like to help you, you would have to do this yourself.

All you need to do is:

1. Use a ruler and measure the distance from the first location to the second location.  *make sure to use the inch side.

2. Distance times 170. *Your product will be in mi( unit).

Answer:

Correct answer is option D

Answer:

the measure of F is 24

Step-by-step explanation:

1. 180-90=90-66=24

Biology textbooks: 121

Sociology textbooks: 242

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = 3.14 \times {2}^{2} \times 3[/tex]

[tex]v = 37.68 \: {cm}^{3} [/tex]

[tex]v = lwh[/tex]

[tex]v = 6 \times 5 \times 7[/tex]

[tex]v = 210 \: {cm}^{3} [/tex]

[tex]v = 37.68 + 210[/tex]

[tex]v = 247.68 \: {cm}^{3} [/tex]

cylinder:

pi r^2 h

=3.14*2^2*3

=37.68 cm^3

prism:

whl

=6*5*7

=210 cm^3

all together:

=247.68 cm^3

Answer:

it will help you

Step-by-step explanation:

thank you

Answer:

1. A. 1 gallon = 4 quarts

2. B. 1 kiloliter = 1,000 liters (hint for remembering is that kilo- means thousand)

3. D. 1 pint = 2 cups

4. E. 1 liter = 1,000 milliliters

5. C. 1 cup = 8 oz

6. D. 1 quart = 2 pints

Step-by-step explanation:

Best of luck with the school year, you can do it!

Answer:

40,320 ways

Step-by-step explanation:

By the Fundamental Counting Principle, she can do it in 8! ways:

8! = 8*7*6*5*4*3*2*1 = 40,320

Answer:

there you go

have a good day

The company has decided to redesign the box it uses to hold one dozen donuts, the circumference of a donut is 3π inches or approximately 9.42 inches (rounded to two decimal places).

The circumference is the distance around the edge of a circle or any circular object. It is calculated using the formula:

C = 2πr

To find the circumference of a donut, we need to first find the diameter. The diameter of each donut is 3 inches, so the radius is 1.5 inches. The circumference can then be found using the formula:

C = 2πr

where C is the circumference and π is approximately 3.14.

Substituting the radius, we get:

C = 2π(1.5) = 3π

Therefore, the circumference of a donut is 3π inches or approximately 9.42 inches (rounded to two decimal places).

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Answer:

M = 4.33885225095

Step-by-step explanation:

Area of the square ABFE = 10² = 100

M = 100 - (2P + Q)

Let’s calculate 2P + Q :

The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF

Note :

ΔABC is an equilateral triangle

m∠CBF = m∠CAE = 30°

area ΔABC  = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922

CG = √(10^2 - 5^2)=8.660254037844  (Pythagorean theorem)

area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π

then

Area 2P + Q = area  ΔABC + area sector ACE + area sector BCF

                      = 43.30127018922+(100÷12)π+(100÷12)π

                      = 43.30127018922+ (8.333333333333)π + (8.333333333333)π

                      = 95.66114774905

Conclusion:

M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095

The expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).

Given:

Base side length=14 and 10 units

Height=8 units

Diameter=5 units

Hence:

Expression= 1-( half 14)(10)(8) - π(2.52)(8)

Expression=1-(7) (10)(8) - π(2.52)(8)

Expression=1- (560)- 63.33

Expression=-559-63.33

Expression=-622.33

Therefore the expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).

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Answer:

A

Step-by-step explanation:

edge

Answer:

(-4, 2)

Step-by-step explanation: