Answer.....15ft by 12ft
Explanation:
Area = Length × Width
180 = LW....make W the subject of formula
;W = 180/L
Perimeter = 2L + 2W
54 = 2L + 2(180/L)...sub W with the formula above...
then simplify the equation and obtain...
2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..
;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...
where W = 180/15 = 12ft
there you have...Length = 15ft and Width = 12ft
Answer:
I. First number, a = 40.
II. Second number, b = 50.
III. Third number, c = 120.
Step-by-step explanation:
Let the three numbers be a, b and c respectively.
Given the following data;
Translating the word problem into an algebraic equation, we have;
a + b + c = 210
b = a + 10
c = 3a
Substituting the value of b and c into the equation, we have;
a + a + 10 + 3a = 210
5a + 10 = 210
5a = 210 - 10
5a = 200
a = 200/5
<em>a = 40</em>
To find the value of b;
b = a + 10
b = 40 + 10
<em>b = 50</em>
To find c
c = 3a
c = 3*40
<em>c = 120</em>
Answer:
Sum of the interior angles = (n-2) x 180°
where
n is the number of sides of the polygon
Step-by-step explanation:
The formula for the sum of the interior angles of a polygon is:
where
is the sum of the interior angle of the polygon
is the number of polygons
Let's check the formula using an example:
We want to find the sum of the interior angles of a square, we know that a square has 4 sides, so 
.
Replacing values
We can apply the same procedure to any convex polygon with n sides.
Answer:
18
Step-by-step explanation:
90 % 5 = 18 so A would measure 90º
Make sure you check this because i do make mistakes.
10 x 4 = 40
75 - 40 = 35
So josiah has 35 dollars to spend for things other than tickets.
35 - 3 = 32 (for the service fee)
So josiah has 32 dollars to spend on popcorn
32/5 = 6.4 but you cant have half a bag of popcorn so
6 bags
