Which single transformation will have the same effect on the figure?
A. reflection over the x-axis
B. rotation of 270° about the point (0, 0)
C. translation described by (x, y) → (x-6, y)
D. translation described by (x, y) → (x, y-6)

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

For a regular hexagonal prism, the Lateral surface area and the surface area is expressed as follows:

Lateral Area = 6a × h

Surface Area = 6ah + 3√3a²

Where a is base edge and h is height.

Given that;

The Lateral Area of the regular hexagonal prism will be;

Lateral Area = 6a × h

Lateral Area = 6( 4cm ) × 7cm

Lateral Area = 24cm × 7cm

Lateral Area = 168cm²

The Surface Area of the regular hexagonal prism will be;

Surface Area = 6ah + 3(√3)a²

Surface Area = 6(4cm × 7cm) + 3(√3)(4cm)²

Surface Area = 168cm² + 3(√3)16cm²

Surface Area = 168cm² + 83.138cm²

Surface Area = 251.138cm²

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

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A circle is a curve sketched out by a point moving in a plane. The diameter of the circular poll is 12 inches. Thus, the correct option is A.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The area of a circle is given as πR², where r is the radius of the circle. Since the area of the pool is 113 sq. inches, therefore, the radius of the circle will be,

Area of pool = πR²

113 sq. inches. = πR²

113/π = R²

R = √35.9690

R = 5.9974 ≈ 6 inches

Now, since the diameter of a circle is twice the radius of the circle, therefore, the diameter of the circle will be,

Diameter of the circle = 2 × 6 inches = 12 inches

Hence, the diameter of the circular poll is 12 inches. Thus, the correct option is A.

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Answer:

a. 12 inches

Step-by-step explanation:

113 ÷ 3.14 = 35.98726114649682

2√35.98726114649682 = 5.998938334947011

5.998938334947011 x 2 = 11.99787666989402

keyword approximate ;)

Answer:

The domain is -∞, ∞

The range is -∞, -4

Step-by-step explanation:

The domain is the data in a set representing the possible real numbers for a function.

The range is the range that this function's result is likely to be in.

Step-by-step explanation:

the answer is true

the statement is true

The length of the curve [tex]y = \frac{1}{27}(9x^2 + 6)^\frac 32[/tex] from x = 3 to x = 6 is 192 units

The curve is given as:

[tex]y = \frac{1}{27}(9x^2 + 6)^\frac 32[/tex] from x = 3 to x = 6

Start by differentiating the curve function

[tex]y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x[/tex]

Evaluate

[tex]y' = x(9x^2 + 6)^\frac 12[/tex]

The length of the curve is calculated using:

[tex]L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx[/tex]

This gives

[tex]L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx[/tex]

Expand

[tex]L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx[/tex]

This gives

[tex]L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx[/tex]

Express as a perfect square

[tex]L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx[/tex]

Evaluate the exponent

[tex]L =\int\limits^6_3 {3x^2 + 1} \ dx[/tex]

Differentiate

[tex]L = x^3 + x|\limits^6_3[/tex]

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

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Answer:

2a² + 2ab , 6x²y - 9xy²

Step-by-step explanation:

using the distributive property

a(b + c) = ab + ac

given

2a(a + b) ← multiply each term in the parenthesis by 2a

= 2a² + 2ab

given

3xy(2x - 3y) ← multiply each term in the parenthesis by 3xy

= 6x²y - 9xy²

Answer:

6x2-9x2

Step-by-step explanation:

because I don't know the explanation

Answer:

1.02 miles

Step-by-step explanation:

Step-by-step explanation:

I think you mean triangle XYZ. and angle XYZ.

so, the angle at Y is 90°.

that makes XZ the Hypotenuse (baseline opposite of the 90° angle) of the right-angled triangle.

so, we can actually use Pythagoras (we don't need the area of the triangle to solve) :

13² = 12² + YZ²

169 = 144 + YZ²

25 = YZ²

YZ = 5 cm

just to check - the area of this triangle is (remember, it is a right-angled triangle, so XY and YZ serve also as baseline and height) :

area = 12 × 5 / 2 = 60/2 = 30 cm²

correct, it fits.

Answer:

6, 8, 10

Step-by-step explanation:

Where:

a = 6

b = 8

c = 10

Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]

[tex]6^2 + 8^2 = c^2[/tex]

[tex]36 + 64 = c^2[/tex]

[tex]100 = c^2[/tex]

c = [tex]\sqrt{100}[/tex]

c = 10

Answer:

6:5

Step-by-step explanation:

Step-by-step explanation:

it is a rectangle !

a straight road and its width.

so, the area is (as for any other rectangle)

length×width

in our case

1.4 km × 0.04 km = 0.056 km²

Answer:

Area formula= length x width

length of road= 1.4 km

width of road= 0.04 km

Area= 1.4 x 0.04

= 0.056 km

Answer:

70 cm^3; 1000 cm^3; 343 cm^3; 30 cm^3; 48 cm^3

Step-by-step explanation:

to find the volume to all of these shapes you can just multiply all the sides together

one looks like this

2 * 5 * 7 = 70

70 is the answer for the first one

you repeat this 4 more times

since a cube has all equal sides for 2 and 3 you can just cube your side length

10^3 = 1000

7^3 = 343

afterwards since they are all just rectangular prisms you can just multiply all the sides together

1 * 5 * 6 = 30

4 * 6 * 2 = 48

those are your answers

dont forget to add ^3 behind the cm

Step-by-step explanation:

70cm kr 5ko 12m y x W L H V

ksk

The equation of the number of pages Stephanie still needs to read will be n + 45 = 120. Then the correct option is A.

The missing options are given below.

A.  n + 45 = 120

B.  n - 45 = 120

C.  45ⁿ = 120

D.  n/45 = 120

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Stephanie read 45 pages from a book of 120 pages.

Let n be the number of remaining pages.

Then the equation, we have

n + 45 = 120

Then the correct option is A.

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∠ADE and ∠ACB, ∠DEA and ∠CEB, ∠CAD and ∠CBD are pairs of angles that must be congruent.

Congruent angles are said to be angles that have equal measure.

From the figure, we can see that;

∠ADE and ∠ACB are congruent because they are corresponding angles, corresponding angles are equal.

∠DEA and ∠CEB are congruent because they are corresponding angles

∠CAD and ∠CBD are also congruent because they are corresponding angles

Therefore, ∠ADE and ∠ACB, ∠DEA and ∠CEB,  ∠CAD and ∠CBD are pairs of angles that must be congruent.

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Answer:

[tex]\sqrt 2[/tex]

Step-by-step explanation:

[tex]f(x) = 1-x\\\\|f(i)| = |1-i| = \sqrt{1^2 +1^2 } =\sqrt 2[/tex]

Answer:

I. - 4

II. - 3

III. - 5

Step-by-step explanation:

All values are the solution to the inequality

Answer:

548, 297

Step-by-step explanation:

We can set this up as a system of equations. The first equation is for how many tickets were sold, which is x+y=845. The second equation is for the cost of the tickets, which is 3x+5.5y=3277.50. The best method for this problem (other than graphing) is elimination. First, we need to multiply one equation to get the opposite of one of the variables. The easiest one to do for this problem is x. The opposite of 3 is -3, so we have to multiply ALL of the first equation by -3. If you do this, then you get -3x-3y=-2535. Now, combine the equations:

3x + 5.5y = 3277.50

-3x  -3y    = -2535

________________

0x+2.5y=742.5

Now, isolate y by dividing both sides by 2.5. If you do this, you get y=297. Now, plug this in for the y in the first equation. Isolate x.

x+297=845

  -297  -297

__________

      0      548

x=548

Hope this helps!

Answer:

211410

Step-by-step explanation:

234900x.10

23490

234900-23490

211410

Answer:

3

Step-by-step explanation:

The number is 7. Let's represent the number as "x." According to the given information, "Twice a number added to 13 is equal to 27," which can be expressed as an equation.

2x + 13 = 27

Now, solve the equation for "x":

Subtract 13 from both sides:

2x = 27 - 13

2x = 14

Divide both sides by 2:

x = 14 / 2

x = 7

Therefore, the number is 7.

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Answer:

80 000

Step-by-step explanation:

1 cm : 20 000 (The question does not state the unit of the other half)

So

4 cm : 4×20 000

4 cm : 80 000

I'm not sure about units but hope this helped and brainliest please

Answer:

80 000 meters

Step-by-step explanation:

In the map:

1 cm = 20000 m

4 cm = 4(20000) = 80 000 meters

4 cm on the map represents 80 km in reality.

Hope this helps

i would recommend setting a schedule for each day. a to do list can also help. this can help you stay on track make a list of things you need to do and have set goals for every week or month. if you're studying something you dont like, i would recommend doing pomodoros. you can find videos to follow along to.

i hope this was helpful!

Answer:

24

Step-by-step explanation:

20 percent of 30 is 6

30-6=24

therefore david has 24 sweets left

The Dimension of the Cylinder:    Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³

Surface Area = 10.59 m²

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Trailer bed dimension = 1.5 m X 1.5 m

  So, height of the cylindrical = 1.5 m

         Radius = 1.5/2 = 0.75 m

Now, Volume of Cylinder = πr²h

                                          = 3.14 X (0.75)²X1.5

                                          = 2.649 m³

Surface area of cylinder = 2πrh + 2πr²

                                        = 2πr (h + r)

                                       = 2 X 3.14 X 0.75 ( 1.5 + 0.75)

                                       = 10.59 m²

Thus, The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³

Surface Area = 10.59 m²

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Answer:

y = - x

Step-by-step explanation:

From the given table:-

( x_1,x_2): (5,-5)

( y_1,y_2): (6,-6)

1) Let's find the slope (m):-

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{ - 6( - 5)}{6 - 5} = \frac{ - 6 + 5}{1} = \frac{ - 1}{1} = - 1[/tex]

2) Substitute x_1= 5, y_1=-5 and m=-1 into y-y_1=m(x-x_1)

[tex]y - ( - 5) = - 1(x - 5)[/tex]

[tex]y + 5 = - x + 5[/tex]

[tex]y = - x + 5 - 5[/tex]

[tex]y = - x[/tex]

Answer:

= 4

Step-by-step explanation:

24÷6

= 4

Answer:

31536000 seconds in a year

Step-by-step explanation:

there are 365 days in a year, 24 hours in a day, 60 minutes in an hour, and 60 seconds in each minute. you have to multiply all of them

The correct matching of the vocabulary words and the examples given of the web administrator's process are:

The entire population being looked at would best be all the days that the website has existed and the sample will be some selected days that have been tracked.

Parameters can be created such as the average number of visitors per say and then data would be derived on this. A statistic would simple show certain information such as the average visits in the days tracked.

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Answer:

(28)  61.5, or $61,500

(29) 49.25, or $49,250

(30) the median

Step-by-step explanation:

(28) the mean can be calculated by adding together the values and then dividing by the total number of values.

(45 + 47 + 47.5 + 51 + 53.5 + 125) / 6 = 61.5

(29) the median can be calculated by crossing off the values from the outside in, alternating sides

45, 47, 47.5, 51, 53.5, 125

47, 47.5, 51, 53.5

47.5, 51

you will end with two middle values since there are six values in the set, so average these to find the median

(47.5 + 51) / 2 = 49.25

(30) The median will better reflect the value of the homes because it is not as much influenced by the outlier value, 125, as the mean is.

Answer:

D

Step-by-step explanation:

are the same length and intersect at different angles