6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?

Answer:

Pyramid Surface Area = .5 * Perim of Base * Slant Height

Slant Height^2 = 144^2 + 140^2

Slant Height^2 = 20,736 + 19,600

Slant Height^2 = 40,336

Slant Height = 200.8382433701

Surface Area = .5 * perim of base * slant height

Surface Area = .5 * 1,200 * 200.8382433701

Surface Area = 120,503 square meters

Source = www.1728.org/volpyrmd.com

Step-by-step explanation:

Answer:

(x-4)(x+8)

Step-by-step explanation:

Answer: 2^3 x 2^4

Step-by-step explanation:

The value of the exponential expression is A = 2³.2⁴ = 128

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the value of the exponential equation be A

Now , the first expression is p = 2³

The value of p = 8

Now , the second expression is q = 2⁴

The value of q = 16

From the laws of exponents , we get

p.q = 2³.2⁴ = 2³⁺⁴

The value of A = 2⁷ = 128

Hence , the exponential equation is 2⁷ = 128

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Answer:

140.608

Step-by-step explanation:

[tex]\pink{\bold{\underline{\underline{hello ♡}}}}[/tex]

Since 2x = 6, we have to divide each side by 2 to find x.

6÷2= 3

Our answer is 3.

Answer:

y=3x-6

Step-by-step explanation:

(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.

(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.

Plugging in the two points from the graph.

Hence, y=3x-6

Answer:

213

Step-by-step explanation:

(31x7)-4

9514 1404 393

Answer:

  a) 3.18 years

  b) 13.52 years

  c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

  A = Pe^(rt)

  A/P = e^(rt)

  ln(A/P) = rt

  t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years

Answer:

First, you do 15+6 (because of the parentheses)

You get 21

then you have to do 1/3 times 21 and you get 7

Answer:

7

Step-by-step explanation:

Using BODMAS which stands for:

(Bracket, of, Division, Multiplication, Addition and Subtraction)

We first treat the bracket

  (15+6)=21

We then treat the division

(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)

[tex]\frac{1}{3}[/tex]

Then we move onto the multiplication which is the last part

[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7

Answer:

price for senior citizen is $11

price for child ticket is $8

Answer:

720 I think not sure if im right

Answer: 720 pennies

Step-by-step explanation:

1/2 = 3/6 and 2/3 = 4/6

So the 120 pennies she added was 1/6 of the total size

6 x 120 = 720

Answer:

[tex]20 > c > 4[/tex]

Step-by-step explanation:

Given

[tex]Sides =8\ and\ 12[/tex]

Required

The third side

To do this, we make use of the triangle inequality theorem which implies that:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

Where

[tex]a,b,c\to sides[/tex]

So, we have:

[tex]8 + 12 > c[/tex]

[tex]8 + c > 12[/tex]

[tex]12 + c > 8[/tex]

Solve all inequalities

[tex]8 + 12 > c[/tex]

[tex]20 > c[/tex]

[tex]8 + c > 12[/tex]

[tex]c > 4[/tex]

[tex]12 + c > 8[/tex]

[tex]c > -4[/tex]

Ignore negative inequalities.

So, we have:

[tex]20 > c[/tex] and [tex]c > 4[/tex]

Combine

[tex]20 > c > 4[/tex]

The above implies that the third length is between 5 and 19 (inclusive)

Answer:

16

Step-by-step explanation:

Answer:

the equation will be

Step-by-step explanation:

2x+y+5=0

Answer:

2x + y + 5 = 0

Step-by-step explanation:

The equation of line is x-2y = 14 and we need to find the equⁿ of line which passes through (-1,-3) and is perpendicular to given line.

=> x - 2y = 14

=> 2y = x - 14

=> y = x-14/2

=> y = x/2 - 7

=> Slope (m) = 1/2 .

Now the slope of line perpendicular to it , will have a slope ,

=>[tex] m_{perp}[/tex] = -1/m

=>[tex] m_{perp}[/tex] = -1/½

=> [tex] m_{perp}[/tex] = -2

=> m = (y - y₁) / ( x - x₁)

=> -2 = { y - (-3) } / { x - (-1) }

=> -2 = y + 3/x + 1

=> -2(x + 1) = y + 3

=> -2x -2 = y + 3

=> y + 2x +3+2 = 0

=> 2x + y + 5 = 0

SAS IS YOUR ANSWER!

HOPE THISE HELPS

Answer:

A. Yes, it show repeated and periodic behavior.

Step-by-step explanation:

I calculated it logically

Answer:  I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'

Step-by-step explanation: Happy Pride Month!!

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

-TheUnknownScientist

Answer:

x^2 -2x-24

Step-by-step explanation:

Answer: (x+4)(x-6)

Step-by-step explanation: Plato Answer

Answer:

C) 4/5

Step-by-step explanation:

pi/4 = 0.7853981634

[tex]\frac{\sqrt{3} }{2}[/tex] = 0.8660254038

3/4 = 0.75. It's less than pi/4, so not correct

9/10 = 0.9. It's more than 0.866, so not correct

4/5 = 0.8. It's right for both condition

8/9 = 0.888. It's more than 0.866, so not correct.

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.

Solution:

Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.

Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³

Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³

Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:

number of cone cups = 45π in³ / π in³ = 45 cups

Hence 45 cups of the cone would be needed to fill the cylindrical bottle

Answer:

a=15

b=7

c=4

Step-by-step explanation:

[tex]\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }[/tex]

Answer:

The probability that the center will have enough employees to handle this call volume is 0.2764

Step-by-step explanation:

Probability is defined as the ratio of favorable outcomes to the total number of outcomes.

Here the total mean expected number of outcomes=u = 4000

The favorable  expected outcomes are = x= 22* 178= 3916

The  standard deviation= σ= 5

The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5

So z= x-u/σ

Z= (3916-4000)/22/5

z= -0.764

From the table of areas under normal curve

P (  x= 3916)=  P( -0.764 ≤ Z≤ 0)

P (  x= 3916)=  0.2764

The probability that the center will have enough employees to handle this call volume is 0.2764

Answer:

a = - 1

b = - 9

c = 9

d = 3

e = 3

f = 2

g = 3/2

Step-by-step explanation:

For a;

6 - 2x = - (2x - 6)

For b;

-1 * 9 = - 9

For x ;

3x + (-9) = 3x - 9

3x - 9 = d(x - e)

Factorizing :

3(x - 3)

d = 3 ; e = 3

2x - 6 = f(x - 3)

Factorize :

2x - 6 = 2(x - 3)

3(x - 3) / 2(x - 3)

g = 3/2

Answer:

x = -4, -2

Step-by-step explanation:

Given equation is,

x² + 6x + 8 = 0

Let the equation to be graphed is,

y = x² + 6x + 8

y = x² + 2(3x) + 9 - 1

y = x² + 2(3x) + 3² - 1

y = (x + 3)² - 1

Table for the Input-output values  

x           -6          -4            -3            -2            -1            0            

y            8           0            -1              0             3            8      

Now we can plot these points on the graph as attached.

Since, this graph is intersecting x-axis at x = -4, -2

Therefore, solutions of the given equation will be x = -4, -2

Answer:2730

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Given that:

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]

Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730

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Answer:

It would be 3 1/2!

Step-by-step explanation:

Because it is X by Y (Usually) AKA bottom row to side row so, it is in the middle of 3 and 4 so it would be 3 1/2!

Answer:

( 3, 3.5) or 3 1/2

Step-by-step explanation:

The cordinate is ( 3, 3.5) but if it has a fraction form like your question had all you want to do is convert 3.5 into a fraction. 3.5 into a fraction is 3 1/2 the 0.5 becomes 1/2 and the 3 is a 3. So the answer is 3 1/2 or ( 3, 3.5).