If A= 30°verify:sin2A=2sinA.cosA​

Answer:

4

Step-by-step explanation:

996

888

978

798

Step-by-step explanation:

the common binomial factor is (x-y).

hope this helps you.

Answer: Refer to Below

Step-by-step explanation:

Given information

Php 2,000 activation fee

Php 1,500 monthly fee

Analysis of given information

Activation fee: the amount of money to start a charge (i.e. Let's say if there is a membership, then this fee would be the same as having a card of membership)

Monthly fee: the amount of money that would be charged monthly (i.e. Let's say if there is a membership, then this fee would be the amount of money that you would need to pay for maintenance every month)

Set variable according to the given information

Let x be the number of months for the membership

Write expression with the given information and the variable

Cost = Monthly fee × Number of months + Activation fee

[tex]\boxed{C = 1500x + 2000}[/tex]

**Information** Since we have already written the expression in [PART 1] and defined the number of months as [x], we are going to substitute the given number of months into the expression.

Given information

Number of months = 1, 2, 3, 4, 5, 6

Written expression from [PART 1]

C = 1500x + 2000

Substitute values into the expression

1 month = 1500 (1) + 2000 = [tex]\boxed{Php 3500}[/tex]

2 months = 1500 (2) + 2000 = [tex]\boxed{Php 5000}[/tex]

3 months = 1500 (3) + 2000 = [tex]\boxed{Php 6500}[/tex]

4 months = 1500 (4) + 2000 = [tex]\boxed{Php 8000}[/tex]

5 months = 1500 (5) + 2000 = [tex]\boxed{Php 9500}[/tex]

6 months = 1500 (6) + 2000 = [tex]\boxed{Php 11000}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The equation of the line with a bold line:

slope = ( 0 - ( -1 ) ) / ( ( 2 - 0 ) )= 1/2

c = -1

Therefore, y <= ( 1 / 2 ) x - 1

The equation of the line with the dotted line:

slope = ( 1 - ( - 2 ) ) / ( 0 - 1) = - 3

c = 1

Therefore, y < - 3x + 1

Step-by-step explanation:

If there is any confusion please leave a comment below.

Step-by-step explanation:

formula to find volume of a cylinder => V= πr²h

(22/7×(3.5)²×12)cm³

462cm³.

now the total volume of plastic used is = 462×0.2 = 92.4cm³.

hope this helps you.

Answer:

640[tex]cm^{2}[/tex]

(I hope that I am right)

Step-by-step explanation:

Area of a triange : [tex]\frac{Base x Height}{2}[/tex]

30 x 48 = 1440[tex]cm^{2}[/tex]

1440 ÷ 2 = 720[tex]cm^{2}[/tex]

20 x 16 = 320[tex]cm^{2}[/tex]

320 ÷ 2 = 160[tex]cm^{2}[/tex]

Area of a rectangle = Base x Height

20 x 16 = 320[tex]cm^{2}[/tex]

20 - 30 = 10

10 x 16 = 160[tex]cm^{2}[/tex]

160 ÷ 2 = 80[tex]cm^{2}[/tex]

Answer:

swimming pool wedding:10,000

Caribbean wedding:45,000

Step-by-step explanation:

55,000

- 10,000

= 45,000

Answer:

2520

Step-by-step explanation:

If a nine digit number contains exactly 4 one's, 3 two's and 2 three's

We can choose the positions of the 1's in P(9/4) ways.  

We can choose the positions of the 2's from the five remaining positions in P(5/3) ways

We can choose the positions of the 3's from the two remaining positions in P(2/2) ways

In this problem order doesnt matter..

= (9!/5!×4!) × (5!/3!×2!) × (2!/2!×0!)

= 2520

Answer:

f(1) = 4

Step-by-step explanation:

f(x) = - 2x^2 + 2x + 4

f(1) = - 2(1)^2 + 2(1) + 4

f(1) = -2 + 2 + 4

f(1) = 4

Answer:  the gcf of 72 and 108 is 36!

Answer: y= 2x - 2

Step-by-step explanation:

Answer:

Its basically asking how many pennies there are.

The answer is 37.5=2.5x because x represents the number of pennies while 2.5 represents the weight. Hope this helps!

x=15, by the way.

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

Answer:

x≤-3 1/2 or x>1

Step-by-step explanation:

The way we solve this is we simply rearrange the equation using algebra.

Step 1) For the first inequality, subtract 1/2 from both sides. This gets x by itself and turns the RHS into -3 1/2.

Step 2) For the second, add 3 to both sides. Once again, x is by itself, and the RHS is equal to 1.

Answer:

xy^4(1+x^3y)

Step-by-step explanation:

Answer:

x=64

Step-by-step explanation:

180=x+2+4x-142

180=5x-140

320=5x

64=x

Answer:

x = 11/3

Step-by-step explanation:

This is because that if you plug it in,

√x+3 = 2√x-2

√11/3 + 3 = 2√11/3 - 2

√20/3 = 2√5/3

Statement is true, therefore x = 11/3.

Hope this helps!

Answer:

Option A is correct

Step-by-step explanation:

Bobby = 1/8

Danny = 1/5

Let's add up both fractions:

1/8 + 1/5 =

1*5/8*5 + 1*8/5*8 =                   (multiplying both the numerator and                              

5/40 + 8/40 = 13/40                 denominator by the opposite denominator)

Together, they both cut 13/40 of the entire lawn.

Let's check each option:

A) Together the boys didn't even cut half the yard.

True, half of the yard is 20/40, and 13/40 < 20/40

B) The boys were able to cut more than half the yard.

False, half of the yard is 20/40, and 13/40 is not greater than 20/40

C) The boys cut almost three-fourths of the yard.

False, three-fourths of the yard is 30/40, and 13/40 is not close.

D) Together the boys cut almost the entire yard.

False, the entire yard is 40/40 and 13/40 is not close.

-Chetan K

Answer:

AB = 154

Step-by-step explanation:

Triangle Rectangle ABC = 90

Sen 38°=0.616 = 154/250

Sen 52°=0.788 =197/250

AC =250

AB = 154

BC = 197

Answer:

37

Step-by-step explanation:

Well you said the answer in your question

Answer:

diameter 12mm

Step-by-step explanation:

Answer:

the answers is20-20=0

Step-by-step explanation:

20 -

20

__

0

Answer:

Answer=20

Step-by-step explanation:

20 - 20

20/2=10

10-10=0

C: LOL

Answer:

The next term in the sequence is:

     0.00221184

Step-by-step explanation:

We are given that:

A cell-phone company has noticed that the probability of a customer experiencing a dropped call decreases as the customer approaches a cell-site base station.

A company representative approached a cell site at a constant speed and calculated the probability of a dropped call at regular intervals, and the probabilities formed the recursive sequence:

             0.6, 0.4, 0.24, 0.096, 0.02304.

as we can see third term is product of first two terms

fourth term is product of third and second term

fifth term is the product of fourth and third term

so,  the next term in the sequence which is the sixth term will be the product of fifth and fourth term=  0.02304×0.096

                                                  =  0.00221184

Answer:

x - intercepts: (4,0) and (-2,0)

vertex: (1/2 ,  - 17/2)

Step-by-step explanation:

Part A

To find the x-intercepts you have to set y=0

(x-4) (x+2) = 0

Separate the parenthesis. Solve for  x

x-4 = 0

x= 4

x+2 = 0

x= -2

x - intercepts: (4,0) and (-2,0)

-------------------------------------------------

Part B

vertex formula for the x: coordinate : -b/2a

Expand the function.

y = 2x^2-2x-8

a = 2

b = -2

c= -8

-b/2a = -(-2)/2(2) = 1/2

vertex x- coordinate: 1/2

Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.

y = 2(1/2)^2 -2(1/2) -8

y = -17/2

vertex: (1/2 ,  - 17/2)

Answer: 350% increase

divide 42 by 12

42 / 12 = 3.5

change 3.5 into a percentage

3.5 = 350%

Answer: (-1,4), (1,0), (0,3), (-2,3), (-3,0)

Step-by-step explanation: look at the dots on the plot

Answer:

1900 divided by 20 is 95

1900 - 95 is 1805

1805 divided by 60 is 31

Step-by-step explanation:

Answer:

76.50

Basically move decimal point from 85.00 one place to the left which would become 8.50

You then subtract 85.00 by 8.50 and you'll get 76.50

hope that helps! have a good day