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The correct phrase which is best describes this polygon is,

⇒ Convex Hexagon

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The figure of hexagon is shown.

Since, We know that;

All of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards is called ''Convex Hexagon''.

Here, By graph of figure;

All of its interior angles must be less than 180 degrees, and all the vertices are pointed outwards.

Hence, The correct phrase which is best describes this polygon is,

⇒ Convex Hexagon

Thus, The correct phrase which is best describes this polygon is,

⇒ Convex Hexagon

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Answer:

1) 1/3   2a)2/5  2b)1/2  2c)9/20

Step-by-step explanation:

1) A fair die has 6 sides (1,2,3,4,5,6) so there are 2 sides that are greater than 4. Probability is chance of occurance/total chances so 2/6 which simplifies to 1/3

2) The set is (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19, 20) The prime numbers in that set are (2,3,5,7,11,13,17,19)

a)So the probability that a prime number is picked is 8/20 which simplifies to 2/5

b) The odd numbers are (1,3,5,7,9,11,13,15,17,19) so probability of odd is 10/20 which simplifies to 1/2

c) The single digit numbers are (1,2,3,4,5,6,7,8,9) so the probability is 9/20

Answer:

6x+10 = 4y+11

Step-by-step explanation:

6x+10 = 4y+11

The slope intercept form is:

y = 3/2x-1/4

Answer:

Larger number is 7, and the smaller number is 3. This is because 7 + 3 = 10, and 7 - 3 = 4.

Step-by-step explanation:

Prodigy perhaps???

Answer:

z₁(s)  = - 1.53

Step-by-step explanation:

a)  Value of  z   or   z₁(s)   area to the right is .9370

 1  -  0.9370  =  0.063

Then if area to the left is   0.063     z₁(s)  = - 1.53

Answer:

Answer:

Mean = 31.22

Midrange = 28.50

Geometric mean = 28.74

Trimmed mean = 31.56

Step-by-step explanation:

Given the data :

39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44

Ordered data :

9, 11, 17, 17, 17, 17, 20, 23, 24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42, 43, 43, 44, 44, 46, 47, 48, 48

The mean, xbar :

Xbar = Σx / n = 999 / 32 = 31.22

The midrange : (maximum - minimum) / 2

Midrange = (48 + 9) / 2 = 57 / 2 = 28.5

Geometric mean :

(x1*x2*.. xn)^1/n

Geometric mean = (x1*x2*.. xn)^1/32 = 28.74

24% trimmed mean :

24% of 32 = 0.24 * 32 = 7.68 ; this mean cutting off 8 values from the top and bottom and calculating the mean of the remaining values.

Data left :

24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42

Σx / n = 505 / 16 = 31.5625

Trimmed mean = 31.56

Answer:

2+4+5 = 11. since there are 5 green marbles the answer is 5/11

Answer:

D 41

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180 degrees.

so, we have already 35 for one angle, that leaves 145 for the other two.

x + 2 + 2x + 20 = 145

3x + 22 = 145

3x = 123

x = 41

Answer:

Probability of red marbles = 8/25

Step-by-step explanation:

Complete question

A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. It alse has 5 white marbles numbered 100, 200, 300, 400, and 500. A marble is drawn at random from the jar. Find the probability of the given event.

a) The marble is red

Total number of marbles = 8+12+5 = 25

Probability of red marbles = total number of red marbles/Total marbles

Probability of red marbles = 8/25

Answer:

126

Step-by-step explanation:

1200x.021=25.20 interest per year

25.20 x 5 years = 126

assumes no compounding

Answer:

5 gallons of water in 1 minute

Answer:

d=2

Step-by-step explanation:

8(d+2)-36=2+6(1-d)

Expand the equation

8d+16-36=2+6-6d

Put like terms together

8d+6d = 2+6-16+36

14d= 28

Divide 14 on both sides to get the value of d

[tex] \frac{14d}{14} = \frac{28}{14} [/tex]

d=2

Answer:

0.279

0.613

-0.44

Step-by-step explanation:

The Zscore that seperates the middle 22% of the distribution ; could be obtained thus. The midpoint is the mean and the probability to either the right or left could be obtained.

To obtain the Zscore that seperates the middle 22% is equivalent to :

The probability to the left of the distribution :

P(x < (0.5 + 0.22/2) = p(x < 0.61)

Using the Z probability calculator :

P(x < 0.61) is equivalent to a Zscore of 0.279

α = 0.27

Z(1 - α) = Z(1 - 0.27) = Z0.73 = p(Z < 0.73) = 0.613

P(x < 0.33) = - 0.44 (Z probability calculator)

Answer:

0.05

Step-by-step explanation:

Because 1/5 divided by 4 gives you 0.05 or 1/20

Answer:

B. 49

Step-by-step explanation:

f(7) = 7² = 49

_______

9514 1404 393

Answer:

  60 cm²

Step-by-step explanation:

The lateral surface area is the area of the four blue triangles. Each one has an area of ...

  A = 1/2bh

  A = 1/2(6 cm)(5 cm) = 15 cm²

The lateral surface area is 4 times the area of one triangle, so is ...

  LA = 4(15 cm²) = 60 cm²

Answer: b

Step-by-step explanation: 600 is the total so, just do 10x and 12

Answer:

according to me 4 is the answer

Step-by-step explanation:

Answer:

[tex]Area = 395.2cm^2[/tex]

Step-by-step explanation:

Given

The attached prism

Required

The surface area

This is calculated as:

[tex]Area= 2(LW + LH + WH)[/tex]

Where:

[tex]Length \to L=5.78[/tex]

[tex]Width \to W=12.7[/tex]

[tex]Height \to H=6.72[/tex]

So, we have:

[tex]Area = 2(5.78 * 12.7 + 5.78 * 6.72 + 12.7 * 6.72)[/tex]

Using a calculator, we have:

[tex]Area = 395.1832[/tex]

[tex]Area = 395.2cm^2[/tex] ---- approximated

Answer:

Step-by-step explanation:

cosine W=9/41

Answer:

cos W = [tex]\frac{9}{41}[/tex]

Step-by-step explanation:

cos W = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{WY}{XW}[/tex] = [tex]\frac{9}{41}[/tex]

Answer:

No solution

Step-by-step explanation:

see the steps below:)

9514 1404 393

Answer:

  3.  (x, y) = (-1, -2)

  4.  (x, y) = (-8, 6)

Step-by-step explanation:

The equations are graphed in the attachments.

3. The equations of problem 3 are easily graphed using the slope and intercept. The second equation is ...

  y = 2x

when solved for y.

__

4. The equations of problem 4 may be more easily graphed using the x- and y-intercepts. These are found by dividing the constant by the coefficients of x and y, respectively. Once the intercepts are plotted, a line can be drawn through them to make the graph of the equation.

Answer:

96

Step-by-step explanation:

Answer:

C = 69.12 in.

A = 380.13 in.²

Step-by-step explanation:

Circumference of a circle is the length around the circle.

Circumference, C = 2πr

where,

Radius (r) = 11 in. (Given)

To find the circumference, substitute r = 11 into the circumference formula

C = 2*π*11

Input this into your calculator, you would get:

C = 69.1150384

C = 69.12 in. (Approximated to nearest hundredth)

Area = πr²

Plug in the value of r

A = π*11²

A = 380.132711

A = 380.13 in.² (to nearest hundredth)

Answer:

0.24

Step-by-step explanation:

Convert [tex]\frac{6}{25}[/tex] into decimal

which will give 0.24

Answer:

114

Step-by-step explanation:

angle one is vertical opposite angle and also angle on a straight line