2. Calculate the area of<br> the three figures.<br> Which figure has the<br> greatest area?

Directions: List all the factors of each number.

tatiyna

Answer:

Step-by-step explanation:

The factors of each numbers are

1) 6 = 1, 2, 3 and 6

2) 35 = 1, 5, 7 and 35

3) 19 = 1, 19

4) 39 = 1, 3, 13 and 39

5) 44 = 1, 2, 4, 11, 22 and 44

6) 64 = 1, 2, 4, 8, 16, 32 and 64

7) 56 = 1, 2, 4, 7, 8, 14, 28 and 56

8) 80 = 1, 2, 4, 8, 10, 16, 20, 40 and 80

prime numbers are whole numbers that only has two factors which are itself and one while composite numbers have more than two factors

The list of composite and prime numbers are

9) 18 composite

10) 3 prime

11) 19 prime

12) 102 composite

13) 41 prime

14) 63 composite

15) 11 prime

16) 51 composite

3 0

3 years ago

In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH

Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

$\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}$

Substituting the given expression for each segment in the first equation, we get:

$3x+6=2(2x-2).$

Solving the above equation for x, we get:

$\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}$

Substituting x=10 in the equation for segment EI, we get:

$EI=2*10-2=20-2=18.$

Therefore:

$GI=18.$

Now, to determine the measure of angle IEH, we notice that:

$\Delta HFG\cong\Delta GEH,$

therefore,

$\measuredangle GHF\cong\measuredangle HGE.$

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

$m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.$

<h2>Answer: </h2> $\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\ \end{gathered}$

4 0

2 years ago

In dire need of help with APR and APY! Please Help!

Sedbober [7]

<span>For example, a credit card company might charge 1% interest each month; therefore, the APR would equal 12% (1% x 12 months = 12%). This differs from APY, which takes into account compound interest. The APY for a 1% rate of interest compounded monthly would be 12.68% [(1 + 0.01)^12 – 1= 12.68%] a year. If you only carry a balance on your credit card for one month's period you will be charged the equivalent yearly rate of 12%. However, if you carry that balance for the year, your effective interest rate becomes 12.68% as a result of compounding each month.</span>

6 0

4 years ago

Solve this equation -3x+1+10x=x+4

Salsk061 [2.6K]

Answer: $x=\frac{1}{2}$

Explanation:

We have been given with the equation -3x+1+10x=x+4

We will collect the terms that are written in variable of x in one side and the constant values on the other side we will get

-3x+10x-x=4-1

After simplification we will get 6x=3

which implies x=1/2

When x from right hand side shift will shift to left hand side it will change its sign and similarly when 1 from left hand side shift to right hand side change its sign.

Therefore, x=1/2

3 0

4 years ago

Read 2 more answers

How do you solve rational expressions

Stells [14]

Answer:

lots of multiplying I've noticed

5 0

3 years ago

Read 2 more answers

2. Calculate the area of the three figures. Which figure has the greatest area?