Find the surface area of this net

Answer:

You already know how to simplify an expression like

7

(

4

x

+

3

)

, right? Just use the distributive property to multiply 7 times 4x and then 7 times 3. This gives you an answer of

28

x

+

21

. Pretty simple. But - What if you have something like this:

(

4

x

+

6

)

(

x

+

2

)

? That's where we use the FOIL method. FOIL means First, Outside, Inside, Last. That's not too hard to remember if you say it in your head a few times.

You use FOIL to multiply the terms inside the parenthesis in a specific order: first, outside, inside, last. Here's how to solve

(

4

x

+

6

)

(

x

+

2

)

:

First - multiply the first term in each set of parenthesis:

First

4

x

∗

x

=

4

x

2

Outside - multiply the two terms on the outside:

Outside

4

x

∗

2

=

8

x

Inside - multiply both of the inside terms:

Inside

6

∗

x

=

6

x

Last - multiply the last term in each set of parenthesis:

Last

6

∗

2

=

12

Now just add everything together to get

4

x

2

+

14

x

+

12

. This method only works easily with two binomials. To multiply something complicated like

(

4

x

+

6

)

(

5

x

−

3

)

(

15

−

x

)

, just do FOIL on two of the binomials and then distribute the answer onto the remaining binomial.

Here are some more examples of FOIL multiplication:

Example:

Multiply the following:

(

6

x

+

1

)

(

2

x

+

9

)

Solution:

Just follow the letters in FOIL:

First:

6

x

∗

2

x

=

12

x

2

Outside:

6

x

∗

9

=

54

x

.

Inside:

1

∗

2

x

=

2

x

.

Last:

1

∗

9

=

9

.

Sum it all up and you get:

12

x

2

+

56

x

+

9

.

Example:

Multiply the following:

(

2

x

−

5

)

(

x

−

4

)

Solution:

Just follow the letters in FOIL:

First:

2

x

∗

x

=

2

x

2

Outside:

2

x

∗

(

−

4

)

=

−

8

x

Inside:

−

5

∗

x

=

−

5

x

Last:

(

−

5

)

∗

(

−

4

)

=

20

Sum it all up and you get:

(

2

x

2

−

13

x

+

20

)

.

The FOIL method is not too difficult to learn once you remember what it stands for. Just repeat first, outside, inside, last and you'll remember it. Other than that, it's just a matter of multiplying each of those steps and adding everything together. Even if the numbers are really ugly with fractions and negative signs and such just follow the steps and the method will work.

Step-by-step explanation

4. x.y

Step-by-step explanation:

thats the answer, Its number 4

Answer:

-√5/5

Step-by-step explanation:

Given the following

sin(A) = 4/5

sinB - -2√5/5

SinA = 4/5 = opp/hyp

We can get cosA

opposite = 4

hypotenuse = 5

Adj = √5²-4² (pythagoras theorem)

Adj = √25-16

Adj = √9

Adj = 3

Cos A = Adj/hyp

Cos A = 3/5

Also

Sin B = -2√5/5 = opp/hyp

opposite = -2√5

hypotenuse = 5

Adj = √5²-(2√5)² (pythagoras theorem)

Adj = √25-20

Adj = √5

Cos B = Adj/hyp

Cos B =  √5/5

Evaluate cos (A-B)

cos (A-B) = cosAcosB + sinAsinB

cos (A-B) = 3/5(√5/5)+4/5(-2√5/5)

cos (A-B)  = 3√5/25 - 8√5/25

cos (A-B) = -5√5/25

cos (A-B) = -√5/5

Hence the value of cos (A-B) is -√5/5

Answer:

10*10*10

Step-by-step explanation:

Given the expression 10^3

We are to write this as a series of products as as shown;

10^3 means the product of 10 in 3 places. Multiplying 10 in 3 places will give the required series of product.

10^3 = 10 * 10 * 10

Hence the series of product of 10^3 is 10*10*10

Answer:

-4.515

Step-by-step explanation:

3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515

Answer:

1.AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

2.CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

3.AC corresponds to FD

4.The scale factor is 2 because you would take the sides in ABC and multiply by 2 to get the sides in FED

5.6 because it corresponds to CB  and you would multiply the side of CB (3) by 2 and you would get 6

6.A^2+B^2=C^2   =    FE^2+ED^2=FD^2    =    8^2+6^2=100^2   = square root of 100=   10

The side length of FD is 10

Answer:

Your welcome no need to thank me

Step-by-step explanation:

Answer:

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

Step-by-step explanation:

hope this helps

Answer:

1/3

Step-by-step explanation:

To get no solution, you want to get rid of x and leave an incorrect equation.

In this case, we will use 1/3x.

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

We subtract 1/3x on both sides. This will cause the 1/3x's to cancel out.

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

2 ≠ -3

As we know, 2 is not 3. Therefore, there is no solution if 1/3x is used.

Answer:

Step-by-step explanation:

1. (3x + 2)(5x - 9)

15x^2 - 27x + 10x - 18

15x^2 - 17x - 18

2. I used the F.O.I.L. method.

Step-by-step explanation:

10 gallons of gas is $29.50

10 gallons of gas = $29.50

10 gallons of gas / 10 = $29.50 / 10

1 gallon of gas = $2.95

Per x gallons of gas,

1 gallon of gas * x = $2.95 * x

x gallons of gas = $2.95 * x

Answer

the answer is -7

Step-by-step explanation: −(16−9) =-7

Answer:

slope = 1

Step-by-step explanation:

-3 | -3

5  | 5

_____

8  | 8

8/8= 1

Answer:

3. equivalent

4. not equivalent

Step-by-step explanation:

Answer:

what are you doing step bro!!??

Step-by-step explanation:

Answer:

I'm gonna say the top one bc the other two aren't correct :)

Answer:

(-3,-2)

Step-by-step explanation:

If you draw a line across from Point A to -3, and a line down from Point P to -2, you get the point (-3,-2) and a right triangle.

Answer: Answers to choose from????????????

Step-by-step explanation:

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 8 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, then

y = - 3x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 3x + 5 ← equation of line

Answer:

# 1, 4, & 6

Step-by-step explanation:

you can confirm by checking each number of smiles, boxes, and triangle. because #1 there are 2 triangles and 4 squares. #4 for every triangle there are two squares (4 squares and 2 triangles "split them in half") #6 same thing as #4

Answer:

2³

Step-by-step explanation:

8 = 2 × 2 × 2 = 2³

Answer: (2.)

1 and 111 only

Step-by-step explanation:

Step-by-step explanation:

[tex]13 \frac{3}{4 } + x = 7 \frac{1}{4} [/tex]

[tex] \frac{55}{4} + x = \frac{29}{4} [/tex]

[tex]x = \frac{29}{4} - \frac{55}{4} [/tex]

[tex]x = - \frac{13}{2} [/tex]

Answer:

108 bottles

Step-by-step explanation:

[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]

Answer:

108 bottles

Step-by-step explanation:

[tex]\frac{4.536}{0.042}[/tex]=108

Answer:

pretty sure it's .833

Step-by-step explanation:

Answer:

which team has the taller player (picture involve

B the skyview ravens

Answer:

the davis tigers has taller player

because their player is 0.625 inches taller more than the Skyview Ravens player

Answer:

11.76 ft or 12 ft

Step-by-step explanation:

tan 30= x/12            tan 22=  x/12

x= 6.92                    x= 4.84

6.92+4.84=11.76ft

11.76 rounded to the nearest foot= 12ft

Answer:

A. 19.3ft     B. 5.2ft

Step-by-step explanation:

So the ladder leaning against the wall forms a triangle. The hypotenuse of

triangle is the ladder (20) and the angle given between ladder an ground is 75 degrees. Use trig to find the height of the wall which is the leg of the triangle.

Sine of Angle is opposite side/hypotenuse

Cosine of Angle is adjacent side/hypotenuse

so     Sine of 75 degrees  =  Wall height/20

Wall height = 20 times Sine of 75 degrees

Sine of 75 degrees = .9659

20 times (.9659) = 19.3ft

So now use Cosine to find the other leg of the triangle (the distance between the bottom of ladder to the wall)

Cosine of 75 degrees  = Distance wall to base of ladder / 20

Cosine of 75 degrees = .2588

20 times (.2588) = 5.2ft

Answer:

90.244

Step-by-step explanation:

111 ÷ 1.23 = 90.244

Answer:

30 degrees

Step-by-step explanation: