What does congruent mean in mathematics

Step-by-step explanation:

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter  =  2 × 2 × r

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter    diameter = 2r

                                                       =  2 × (2 × r)  

                                                       = 4r

Cone Volume = 1/3 ×( π r² 4r)

                        =  (4 π r³ / 3)

Answer:

234 Square Inches

Step by Step Explanation:

To find the area of a parallelogram, we must first find the height. In this case, it is 18. Then, we must find the base. In this case, it is 13. Then, we multiply base x height for our final answer of 234.

Base - 13

Height - 18

18 x 13 = 234.

Easy enough?

Answer:

The z-score of a beetle with a length of 2.38 centimeters is 2.4

Step-by-step explanation:

As we know,

z = (x - µ)/σ

x is the length of the beetle species.

µ is the mean length

σ is the standard deviation

Substituting the given values in above equation, we get

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4

Incomplete question. However, I answered from a general research perspective.

Explanation:

Note, the term sample used in statistical research refers to subjects or persons carefully selected (using a particular sampling method/type ) to represent the target population.

A randomly selected sample could be done as either:

Using any of the above sampling methods could result in 70% of the population being from low-income families as this is a matter of chance. Hence, we can agree with the research results.

Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.

At the null hypothesis, we test if they were really randomly selected, that is, the proportion is of 80%:

[tex]H_0: p = 0.8[/tex]

At the alternative hypothesis, we test if they were not randomly selected, that is, the proportion is of less than 80%.

[tex]H_1: p < 0.8[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.8, n = 150, \overline{p} = 0.7[/tex]

Then, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.7 - 0.8}{\sqrt{\frac{0.8(0.2)}{150}}}[/tex]

[tex]z = -3.06[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex].

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.

A similar problem is given at https://brainly.com/question/24166849

Answer:

16 2/3

Step-by-step explanation:

Answer: Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

Answer:

21,755.8

Step-by-step explanation:

To solve this equation, we must first find 407% of 60.

To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.

407/100 x 60/1 = 24,420/100

24420 / 100 = 244.2

244.2 is 407% of 60.

Lastly, you subtract 244.2 from 22,000.

22,000 - 244.2 = 21,755.8

Answer:

21755.8

Step-by-step explanation:

407%=4.07

4.07*60=244.2

22,000-244.2=21755.8

Answer:

i think A. 6 in

Step-by-step explanation:

because the lenght is diagram 3

Answer:

YES

Step-by-step explanation:

(3/8)·64 = 24 seats in the first class carriage are being used.

(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...

 24 + 126 = 150 . . . occupied seats

The number of available seats is ...

 64 +3·78 = 298

so half the seats on the train will be 298/2 = 149 seats.

 150 > 149, so more than half the seats on the train are being used.

Answer:

10,635.934 m^2

Step-by-step explanation:

The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)

According to the word problem, 58.2 is the radius.

Now that we know the radius, we have our final equation:

pi ⋅ radius ⋅ radius

(3.14 IS USED FOR PI)

3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336

10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934

Therefore, the area of this circle in square meters is 10,635.934 m^2.

Answer:

Amar pays the most

Step-by-step explanation:

Amar pays the most, because Mira and Raja split the bill, so they onyl need to pay 1/5 each. However, Amar needs to pay 2/5 which is the most.

Hope this helps!

Answer:

x=6

Step-by-step explanation:

8x/2= 24

8x = 24× 2

8x= 48

8x÷8 = 48÷8

x= 6

Answer:

6

Step-by-step explanation:

multiply both sides by 2/8 to isolate x.

8/2x=24

2/8(8/2)x=2/8(24)

x=48/8

x=6

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

Area is the space occupied by any surface ,It is measure in square units of length.

It is given that

A photographer needs a frame for a 16 x 20 inch picture

total area is 340 sq. in

width of the frame =?

Let width of the frame be x

The frame is in the shape of a Rectangle

Side of the frame =  ( 16+2x) and (20 +2x)

Area of a frame = Total Area -  Area of the picture

Total Area =  ( 16+2x) (20 +2x)

( 16+2x) (20 +2x) = 340

320 + 72x +4x² = 340

72x +4x²= 20

4x² + 72x = 20

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

To know more about Area

https://brainly.com/question/27683633

#SPJ2

Answer:

72 in^3

Step-by-step explanation:

Volume: lwh

V = 6 · 3 · 4

V = 18 · 4

V = 72 in^3

Answer:

3 f(x)

Step-by-step explanation:

this is very open-ended, (6y)/2 is equal to 3y

Answer:

102.96

Step-by-step explanation:

Answer:

[tex]102.96[/tex]

Step-by-step explanation:

7 . 2

× 14 . 3

___________

²2 . 16

²28 . 80

72 . 00

____________

¹1¹02.96

Therefor, the answer is 102.96

Answer:

area? is that what u need? or perimeter

Step-by-step explanation:

Answer:

75 kilómetros.

Step-by-step explanation:

Dado que Juan utiliza su bicicleta para hacer deporte, y cada día recorre 10 kilómetros a la mañana y 5 kilómetros a la tarde, para determinar cuántos kilómetros recorre en total al cabo de 5 días  se debe realizar el siguiente cálculo:

(10 + 5) x 5 = X

15 x 5 = X

75 = X

Por lo tanto, Juan recorre 75 kilómetros al cabo de 5 días.

Answer:

50 cups water

Step-by-step explanation:

10 cups water     = 6 cups lemon juice

x   cups water     = 30 cups lemon juice

To get from 6 to 30, we needed to do x5, so lets do that for 10 as well.

10x5 cups water = 30 cups lemon juice

50 cups water    = 30 cups lemon juice

Answer:

D-B-A-C

Step-by-step explanation:

Answer:

this is the answer!!

Step-by-step explanation:

Answer:

mk?

Step-by-step explanation:

9514 1404 393

Answer:

  z = -7

Step-by-step explanation:

The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.

Already, we observe that the ratios of x- and y-coefficients are -4:

  -12/3 = -4

  8/-2 = -4

The equations will be dependent when the constants have that same ratio:

  8z/14 = -4 . . . . desired ratio

  8z = -56 . . . . . multiply by 14

  z = -7 . . . . makes the equations true for all real numbers

_____

Comment on the question

The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.

However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".

Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.

Answer:

Step-by-step explanation:

Answer:

A)  $1,717.73.

B)  $1,807.02.

Step-by-step explanation:

Given that $ 1234 is invested at 5.6% annual interest for 7 years, to determine the final amount applying a simple interest and a compound interest, the following calculations must be performed:

A)

1234 + ((1234 x 0.056) x 7) = X

1234 + (69.104 x 7) = X

1234 + 483.728 = X

1717.728 = X

Therefore, applying a simple interest of 5.6% per year, in 7 years the amount invested would be $ 1,717.73.

B)

1234 x (1 + 0.056) ^ 7 = X

1234 x 1.056 ^ 7 = X

1234 x 1.464 = X

1,807.02 = X

Therefore, applying compound interest, the sum would become $ 1,807.02.

9514 1404 393

Answer:

  3 3/4 cups

Step-by-step explanation:

The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.

As a mixed number 15/4 = 3 3/4.

Ana will need 3 3/4 cups of sugar for 10 dozen cookies.

Answer:

Solution given:

recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's

now

we have

2 dozen=3/4 cup of sugar

10dozen=3/4×10/2=15/2 cup of sugar is needed

Answer:

X=35 Y=73

Step-by-step explanation:

use the opposite angle theorem for x. X would equal 35.

we know that x is 35. So 2y+35=180

180-35=2y

y=72.5 or 73

srry I can’t help with question 2. I don’t know how