Answer:
x = 13
Step-by-step explanation:
The sum of the exterior angles of a 4 sided polygon is 360
139+ 6x+9x+2x = 360
Combine like terms
139+17x=360
Subtract 139 from each side
17x = 360-139
17x = 221
Divide each side by 17
17x/17 = 221/17
x = 13
Sine is also known as Opposite over hypotenuse.
To find the regular follow this formula ; area = 1/2 x perimeter x apothem. Which means ... perimeter = the sum of lengths of the all sides
Answer:
235 bracelets
Step-by-step explanation:
Mai must spend $250 on wire and $5.30 per bracelet beads. Mai creates the expression.
We are given the equation:
5.3n+ 250 to represent the cost of making n bracelets.
The maximum number of bracelets Mai can make with a budget of $1500 Is calculated as:
$1500 = 5.3n+ 250
Collect like terms
1500 - 250 = 5.3n
1250 = 5.3n
n = 1250/5.3
n = 235.8490566 bracelets.
Bracelets are created as whole numbers and they can't be in decimal form.
Therefore, the maximum number of bracelets Mai can make with a budget of $1500 is 235 bracelets.
Call the smaller of the two odds = n
Call the next number in the sequence = n + 2
n*(n +2) = 782 Remove the brackets.
n^2 + 2n = 782 Subract 782 from both sides.
n^2 + 2n - 782 = 0 We are going to have to factor this.
Discussion
This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.
For example, you could use 783, (which factors) instead of 782 .
Solve
n^2 + 2n - 783 = 0
(n + 29)(x - 27) = 0
<u>Solution One</u>
n - 27 = 0
n = 27
The two odd consecutive integers are 27 and 29.
<u>Solution Two</u>
n + 29 = 0
n = - 29
The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.