Answer:
b = 33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles
16x
Both of these expressions are similar expressions, therefore you can simply add the number in front of the 'x'
6 + 10 = 16
Therefore, 6x + 10x = 16x
<span>13-((4/5)+(6/8))
Make your fractions have common denominators
</span>13-((32/40)+(30/40))
Add your fractions and simplify
13-(62/40)
or
13-(31/20)
or
13-(1 11/20)
Then turn 13 into a fraction with a common denominator! Im going to use the second fraction method (31/20)
13 written as a fraction is 13/1, its LCD with 31/20 is 20. I now multiply the top and bottom by 20
260/20
Now I rewrite the problem again
(260/20)-(31/20)
Which equals
229/20!
This is your unsimplified answer
Finally you simplify and get
11 9/20
Answer:
210.65 ft
round as needed
Step-by-step explanation:
Law of Cosines
c^2 = a^2 + b^2 - 2abCosC
c^2 = 125^2 + 210^2 - 2(125)(210)Cos73
c^2 = 15,625 + 44,100 - 15349.5
c^2 = 44,375.5
c = 210.654931107724132
