10 Which value of x makes the inequality 3x+3 > 15
true?
A x= 5
B. x = 2
C. x= 3
D. x = 4

Answer:

n=10

Step-by-step explanation:

For a regular polygon with n sides, each interior angle, x, is given by

[tex]x=180\frac{n-2}{n}[/tex]

This can be solved for n

[tex]n=\frac{360}{180-x}[/tex]

For the pentagons

x(5)=180(3/5)=108 degrees.

The angles around P sum to 360, so

2(x(5))+x(A)=360

x(A)=360-2(108)=144.

Substitue in the equation for n.

n=360/(180-144)=10

The number of sides in this polygon is 10.

For any polygon, the sum of interior angles is given as,

[tex]\bold{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

where,

n = number of sides,

We know that for a pentagon, the number of sides is 5.

thus, substituting the values in the sum of interior angle formula we get,

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

[tex]{Sum\ of\ interior\ angles= {5-2}\times{180^o}}\\= 3 \times {180^o} = 540^o[/tex]

therfore, each angle in a regular pentagon,

[tex]\dfrac{Sum\ of\ interior\ angles}{Number\ of\ Sides} = \dfrac{540^o}{5} = 108^o[/tex],

Let's assume that polygon A is having x number of sides.

At point P, the sum of the angles must be 360°.

The sum of the angles at point P

          = interior angle of the first pentagon

          + interior angle of the second pentagon

          + interior angle of the polygon A with x sides

Substituting the values,

360° = 108° + 108° + z

z = 360° - 108° - 108°

z = 144°

Thus, the interior angle of the x sided polygon is z = 144°.

For a regular polygon, all the interior angles are equal,

so, for a polygon with sides x.

the sum of interior angle = measure of interior angle x Number of sides

                                         = [tex]144^o \times x[/tex]

Also, we know

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

Substituting, the values for an x number of side  polygon,

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}\\{144^o \times x = {(x-2)}\times {180^o}}\\144x = 180x - 360\\360 = 180x- 144x\\x = \dfrac{360}{36}\\x = 10[/tex]

Hence, the number of sides in this polygon is 10.

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Answer:

[tex]T > 45[/tex]

Step-by-step explanation:

Given

[tex]\frac{T}{3} > 15[/tex]

Required

Graph the solution

[tex]\frac{T}{3} > 15[/tex]

Multiply both sides by 3

[tex]3 * \frac{T}{3} > 15*3[/tex]

[tex]T > 15*3[/tex]

[tex]T > 45[/tex]

See attachment for graph (Assume T is on the x-axis)

Answer:

x = 5

Step-by-step explanation:

3x – 4y = 31

y = -2x + 6

Plug in Y

3x – 4(-2x + 6) = 31

Distribute

3x +8x-24= 31

Add like terms

11x - 24 = 31

Add 24 on both sides

11x = 55

Divide both sides by 11

x = 5

Answer:

Step-by-step explanation:

The missing equation is:

[tex]S = \int ^b_a 2 \pi f(y) \sqrt{1 + f' (y)^2 } \ dy[/tex]

Suppose f = nonnegative function whose first derivative is within (a,b) and it is continuous, Then the area of the surface generated is revolved about the x-axis:

The area of the surface revolution is:

[tex]S = \int ^b_a 2 \pi f(x) \sqrt{1 + f' (x)^2 } \ dx[/tex]

So; if  [tex]x = g(y)[/tex] for [tex]y \ \varepsilon \ [c,d][/tex]

Then; substituting a with c and b with d; f(x) also with g(y) and dx with dy;

Then;

[tex]S = \int ^d_c 2 \pi g(y) \sqrt{1 + g' (y)^2 } \ dy[/tex]

SInce;

[tex]g(y) \ne f(y)[/tex]; Then the statement is false.

Provided that the semicircle [tex]y = \sqrt{1-x^2}[/tex] isn't on [tex][-1,1][/tex] interval.

Then, the solid generated by the revolution about the x-axis is a sphere.

However, the surface is well defined and the statement is false.

Answer:

4

Step-by-step explanation:

$80.00 - $24.75 = $55.25

$55.25 ÷ $12.50 = 4 Shirts!

Answer:

Tres respuestas posibles son:

2 y 3x^2 + x

2x y 3x + 2

x y 6x + 2

y hay muchas mas.

Step-by-step explanation:

Hay muchas respuestas posibles.

6x^2 + 2x = 2(3x^2 + x) = 2x(3x + 2) = x(6x + 2)

Step-by-step explanation:

bla bla bla.....................

Answer:186.66is answer

p=14000

r=8%

time=60days=2month/12=1/6year

Step-by-step explanation:

simple interest=ptr/100=14000×8×1/600=186.666

Answer:

179

Step-by-step explanation:

(x+35)^0=1

supplement=

180-1

179

Answer:

b

Step-by-step explanation:

beacause 2x+60 thats the answer

Answer:

Step-by-step explanation:

Slope-intercept form:

Take two points from the graph:

Find the slope:

The y-intercept is b = 5

The line is:

Answer: =−3x^3−9x^2+3

Step-by-step explanation:

Distribute the Negative Sign:

=5x^3−7x^2+3x−4+−1(8x^3+2x^2+3x−7)

=5x^3+−7x^2+3x+−4+−1(8x^3)+−1(2x^2)+−1(3x)+(−1)(−7)

=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7

Combine Like Terms:

=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7

=(5x^3+−8x^3)+(−7x^2+−2x^2)+(3x+−3x)+(−4+7)

=−3x^3+−9x^2+3

Answer: 3 1/30

Step-by-step explanation:

Hi, IReady sucks. So I am gonna help you. I got 3 1/30 when you add them together. I would also recommend using a Fraction Calculator online. ;) it helps a lot!

It's True True True True True True True

Answer:

a) 0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.

b) 0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

If the order of the people chosen is important, we use the permutations formula. If the order is not important, we use the combinations formula.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

(a) What is the probability that a random committee is made up of 2 women and 1 man?

Order is not important, so we use the combinations formula.

Desired outcomes:

2 women from a set of 6, and a men from a set of 5. So

[tex]D = C_{6,2}*C_{5,1} = \frac{6!}{2!4!}*\frac{5!}{1!4!} = 15*5 = 75[/tex]

Total outcomes:

3 people from a set of 6 + 5 = 11. So

[tex]T = C_{11,3} = \frac{11!}{3!8!} = 165[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{75}{165} = 0.4545[/tex]

0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.

(b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?

Now, the order is important, which means that we use the permutations formula.

Desired outcomes:

2 women from a set of 6, and a men from a set of 5. So

[tex]D = P_{6,2}*P_{5,1} = \frac{6!}{4!}*\frac{5!}{4!} = 30*5 = 150[/tex]

Total outcomes:

3 people from a set of 11. So

[tex]T = P_{11,3} = \frac{11!}{8!} = 990[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{150}{990} = 0.1515[/tex]

0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man

Answer:

mineeeeeeeeeeee

Step-by-step explanation:

Answer:

A. c = 60 / p

Step-by-step explanation:

If p=2, the equation would read... c = 60 / 2, which mean c = 30. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

Answer:

= 5/4

Step-by-step explanation:

Multiply across, so we will multiply our numerators first.

1 x 5 = 5

Then we multiply our denominators

2 x 2 = 4

Thats why your answer is 5/4

Hope this helps (:

Answer:

2.72/3=0.907 (correct to three decimal places)

Step-by-step explanation:

Answer:

b. t < 10

Step-by-step explanation:

[tex]-3t + 9>-21[/tex]

divide both sides by -3

[tex]t - 3 < 7[/tex]

(you have to flip the sign because you are dividing by a negative)

add 3 to both sides

[tex]t<10[/tex]

Answer:

40_ page 302

Step-by-step explanation:

mathematics teacher and she said that to me and happy holidays so we can get the text on

Answer:

im sry

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

x = angle

180 - x = it's supplement

90 - x = it's compliment

(180 - x) - 4(90 - x) = 30

180 - x - 360 + 4x = 30

reducing

3x = 210

x = 70

Answer:

x=0.3

Step-by-step explanation:

6x+3+4x=1/2(9+10x)

10x+3=4.5+5x

5x=1.5

x=0.3

Answer:

x=0.3

Step-by-step explanation:

6x+3+4x=1/2(9+10x)

10x+3=4.5+5x

subtract 5x and 3 from both sides

5x=1.5

x=0.3

Answer:

Please read down below, thanks

Step-by-step explanation:

Vertical angles are always equal.

Because the two expression we have are equal, we can make the equation:

4x + 2 = 5x - 13

Let's move x to one side and the constants to the other side.

Subtract both sides by 4x and add both sides by 13

15 = x

Now we know x = 15, we can solve for the angles.

∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees

∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees

∠DBE is the same as ∠ABC so: 47 degrees

∠ABD is also the same as ∠CBE so: 133 degrees

Answer:

125 cubic cm

Step-by-step explanation:

Length^2 = 25 so each side length is 5cm

5^3 = 125 cubic cm