Answer:
40 + 3x + 4 + 3x + 4 = 180
48+6x=180
48 - 48 + 6x = 180 -4 8
6x = 132
6x/6 = 132/6
x = 22
Step-by-step explanation:
1. since the triangle is isosceles, angles A and C will have the same measures, so to solve for x, you can add another 3x + 4 or you can multiply A by 2.
2. add like terms
3. subtract
4. divide to get x
Answer:
c^2=33^2+37^2-2(33)(37)cos120(i don't know for sure tho)
Step-by-step explanation:
LAW OF COSINES
Answer:
The attendance was 198 children, 90 students and 99 adults.
Step-by-step explanation:
We define:
c: children attendance
s: students attendance
a: adult attendance
The equation that describes the total ticket sales is:
We also know that the children attendance doubles the adult attendance:
The third equation is the seating capacity, which we assume is full:
We start by replacing variables in two of the equations:
Then, we solve the remaining equation for a:
Then, we solve for the other two equations:
The attendance was 198 children, 90 students and 99 adults.
-- The smallest perimeter you can make with a certain area
is a circle.
-- The NEXT smallest perimeter with the same area is a square.
With 1-ft by 1-ft square bricks, the shortest perimeter she could
make would be by using her bricks to make it as square as possible.
Without cutting bricks into pieces, the best she could do would be
(13 bricks) x (3 bricks) .
= (13-ft) x (3-ft)
Perimeter = (2 x length) + (2 x width)
= (2 x 13-ft) + (2 x 3-ft)
= (26-ft) + (6-ft) = 32 feet <== shortest perimeter.
-- Then, the more UNSQUARE you make it, the more perimeter
it takes to enclose the same area. That means Mary has to make
a rectangle as long and skinny as she can.
The longest perimeter she can make (without cutting bricks into
pieces) is (39 bricks) x (1 brick) .
= (39-ft) x (1-ft) .
Perimeter = (2 x length) + (2 x width)
= (2 x 39-ft) + (2 x 1-ft)
= (78-ft) + (2-ft) = 80 feet .
What she'll have then is a brick path, 39 feet long and 1 foot wide,
and when you walk on it, you'll need to try hard to avoid falling off
because it's only 1 foot wide.
Answer:
10) C
11) A
Step-by-step explanation:
