Answer:
a) P = 6x + 13//
b) i) x = 5//
ii) 9//
Step-by-step explanation:
a) P = 2(x+2) + 2(2x-1) + 3 + 8 m
= 2x+4 + 4x-2 + 3 + 8
= 6x + 13//
b) i) P = 43 m
43 = 6x + 13
43-13 = 6x
<u>3</u><u>0</u> = <u>6</u><u>x</u><u> </u>
6 6
x = 5//
ii) longest side = (2x-1) m
2 × 5 - 1
10-1 = 9//
Keywords:
<em>Division, quotient, polynomial, monomial
</em>
For this case we must solve a division between a polynomial and a monomial and indicate which is the quotient.
By definition, if we have a division of the form:
, the quotient is given by "c".
We have the following polynomial:
that must be divided between monomy
, then:
represents the quotient of the division:



Thus, the quotient of the division between the polynomial and the monomial is given by:

Answer:
The quotient is: 
Option: A
Answer:
A theme is where and when a story or poem takes place.
I hope its correct!
Answer:
$ 158.95
Step-by-step explanation:
Reduction = 25% of 199
= 0.25 * 199
= $ 49.75
Price of the tablet after reduction = 199 - 49.75 = $ 149.25
Sales tax = 6.5% of 149.25
= 0.065 * 149.25
= $ 9.70
Total price that he need to pay = 149.25 + 9.70
= $ 158.95
For the given triangle, m∠G° = 51°, HI = 23.3 units, and GH = 18.9 units.
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 39°, the hypotenuse side's length is 30 units. Assume the opposite side's length is x units.
To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.


GH measures 18.879 units. Rounding this off, we get 18.9 units.
Step 2:
Assume the side HI measures y units. According to Pythagoras' theorem,


So HI measures 23.314 units. Rounding this off, we get 23.3 units.
Step 3:
GHI is a triangle and all triangles have a total angle of 180°.

So ∠G° measures 51°.