What are the common factors of 8 and 16

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:

pretty sure it's .833

Step-by-step explanation:

Answer:

theres no percent to start off with so this question doesnt make sense unless the answer is 8

Step-by-step explanation:

Answer:

33% maybe ???

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The side lengths are 1/4 of the perimeter, so we can say ...

  the sum of side lengths is 68 ft/4 = 17 ft

  the difference of side lengths is 12 ft/4 = 3 ft

Using x to represent the side length of the smaller square, we have ...

  x + (x +3) = 17 . . . . . . the larger square has side length x+3

  2x = 14 . . . . . . . . . subtract 3

  x = 7 . . . . . . . . divide by 2

The side lengths of the squares are 7 feet and 10 feet.

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

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:

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:

B

Step-by-step explanation:

Answer: 4

         ______

           _\ _~-\___

   =  = ==(____AA____D

               \_____\___________________,-~~~~~~~`-.._

               /     o O o o o o O O o o o o o o O o  |\_

               `~-.__        ___..----..                  )

                     `---~~\___________/------------`````

                     =  ===(_________D

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:

3. equivalent

4. not equivalent

Step-by-step explanation:

Answer:

what are you doing step bro!!??

Step-by-step explanation:

Answer:4

Step-by-step

uhhhh the answer is -9 I think

Answer: Regular octagon A regular octagon is a closed figure with sides of the same length and internal angles of the same size. It has eight lines of reflective symmetry and rotational symmetry of order 8.

Step-by-step explanation:

4. x.y

Step-by-step explanation:

thats the answer, Its number 4

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

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:

17x + 16

-7x - 1

-6x - 13

2x + 3

2x - 1

9x + 8

2x - 13

10x - 11

- 8

Step-by-step explanation:

Did this all in my head so apologies if its incorrect! Mostly just collecting like terms and distributive property.

Answer:

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

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

eventually all of the offspring will have the genetic variation

Step-by-step explanation:

the variation was passed down to its offspring, and was favored, so it is now just part of its genetics, meaning all of the offspring from the original spiders offspring, will also have the genetic variation. hope this helps :)

Answer:

90.244

Step-by-step explanation:

111 ÷ 1.23 = 90.244

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: what of the following

Step-by-step explanation:

Answer:

is it multiple choice

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 + 4c + c = c + 4

12 + 5c = c + 4

12 + 4c = 4

4c = -8

c =-2

Answer:

The ? should be a 6

Answer:

Step-by-step explanation:

6

Answer:

i believe your answer is correct

Step-by-step explanation:

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