Draw a triangle with shortest side on the ground (horiz.). The length of this side is 80 feet. Two angles touch the ground: a right angle, and the 70 degree angle.
Then the height of the building is the 2nd shortest side.
The tangent function is the appropriate one to use here:
opp h
tan 70 deg = -------- = ----------
adj 80 ft
h
Since tan 70 deg = 2.75, 2.75 = -------
80 ft
so h = building height = (80 ft)(2.75) = 219.8 ft
Answer:
6.36 years (the .36 repeats), so rounded is 6.4.
Step-by-step explanation:
First, I'm going to convert all measurements to meters.
Since 1000 mm = 1 m, divide 44 by 1000.
44/1000 = 0.044 m
Since 100 cm = 1 m, divide 72 by 100.
72/100 = 0.72 m
Next, I'm going to setup an equation using y = mx + b.
b is the beginning amount which is 0.72.
m in the equation represents the rate which is 0.044.
y represents the total which is 1.
Plugin the numbers and solve for x.
1 = 0.044x + 0.72
1 - 0.72 = 0.044x + 0.72 - 0.72
0.28 = 0.044x
0.28/0.044 = 0.044x/0.044
6.36 = x
Answer:
Step-by-step explanation:
(a). The median number of hours spent on Math was about 2.9 ;
Answer:
-56
Step-by-step explanation:
Hello!
Let's create an equation to figure out what the middle integer really is.
Creating an equation:
n + (n + 1) + (n + 2) = -168 (This is true because we must account for the <em>consecutive integers </em>part.)
Simplifying:
3n + 3 = -168
Subtracting:
3n = -171
Dividing:
n = -57
Now, we plug-and-chug:
-57, -56, -54 (this is because we accounted for adding <em>positive </em>one.)
Thus, the middle integer is 
.
Check:
We can see if we are correct by adding up -57, -56, -54.
(-57) + (-56) + (-54) = -168
So we are correct!
Hope this helps!
