Factoring:
FOIL (first, outer, inner, last) method
(a+b)(c+d) = 0
ac+ad+bc+bd = 0
Zeros:
(x+a)(x+b) = 0
x+a = 0, x= 0-a
x+b = 0, x= 0-b
Answer:
4). The Washington Monument is 169.2-m tall.
Step-by-step explanation:
4). We know this because...
person 1.8 0.7
---------- = ----- = -------
Wash. x 65.8
We then know to cross-multiply to get:
1.8(65.8) = 0.7x
Which simplifies down to:
118.44 = 0.7x
x = 169.2
Answer:
5). The pond is 180ft wide.
Step-by-step explanation:
5). We know this because...
90 120
----- = -------
135 x
We then know to cross-multiply to get:
90x = 120(135)
Which simplifies down to:
90x = 16200
x = 180
Answer:
6). The height of the clock tower is 13ft 9in.
Step-by-step explanation:
6). We know this because...
person 5.5 4
---------- = -------- = -----
clock x 10
We then know to cross-multiply to get:
5.5(10) = 4x
Which simplifies down to:
55 = 4x
x = 13.75 (13 ft 9 in)
Answer: BC = 5.83
Step-by-step explanation:
Luckily, the triangle is placed on the graph nicely so we can count the legs of the triangle:
AB = 5
AC = 3
BC = ?
To find BC, we can simply use the Pythagorean Theorem:
5^2 + 3^2 = c^2
25 + 9 = c^2
34 = c^2
Now square root to find c, or BC.
c = 5.83 (rounded by nearest hundredth)
You will need almost four cans of paint: 3.8088888888
