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:
(3) 2(3x - 5)(3x + 5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
For ellipses, the length of the major axis is represents as:
Major axis = 
where 
is called the semi-major axis.
In this case since the major axis is equal to 10 units:
solving for the semi-major axis :
and also the minor axis of an ellipse is represented as:
Minor axis = 
where 
is called the semi-minor axis.
Since the minor axis has a length of 8 units:
solving for b:
Now we can use the equation for an ellipse centered at the origin (0,0):
and substituting the values for and :
and finall we simplify the expression to get the equation of the ellipse:
Answer:
circle of diagram (89).&"71
Log w (x^2-6)^4
Using log a b = log a + log b, with a=w and b=(x^-6)^4:
log w (x^2-6)^4 = log w + log (x^2-6)^4
Using in the second term log a^b = b log a, with a=x^2-6 and b=4
log w (x^2-6)^4 = log w + log (x^2-6)^4 = log w + 4 log (x^2-6)
Then, the answer is:
log w (x^2-6)^4 = log w + 4 log (x^2-6)
