Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
Here are a few fun facts:
A 19th century horse named 'Old Billy' is said to have lived 62 years.
Horses can sleep both lying down and standing up.
Horses can run shortly after birth.
Horses have around 205 bones in their skeleton.
Horses have been domesticated for over 5000 years.
Horses use their ears, eyes and nostrils to express their mood.
Because horse’s eyes are on the side of their head they are capable of seeing nearly 360 degrees at one time.
The fastest recorded sprinting speed of a horse was 88 kph (55 mph). Most gallop at around 44 kph or 27 mph.
The Przewalski’s horse is the only truly wild horse species still in existence. The only wild population is in Mongolia. There are however numerous populations across the world of feral horses e.g. mustangs in North America.
I hope you learned something new!
If I’m not mistaken I think this is what you’re asking for?
Answer:
There are 47.12 liters in 12.4 gallons of gasoline.
Option C is correct option.
Step-by-step explanation:
Total Gasoline bought = 12.4 gallons
We are given:
1 gallons = 3.8 liters
So.=, we need to find how many liters in 12.4 gallons of gasoline
1 gallon = 3.8 liters
12.4 gallon = 3.8*12.4
= 47.12 liters
So, there are 47.12 liters in 12.4 gallons of gasoline.
Option C is correct option.
Answer:
A. 2 terms; variable = x; constant = 4.5 -------> 4.5 - 2x
B. 2 terms; variables = x and y -----------> 4.5y - 2x
C. 3 terms; variables = x and y; constant = 2 --------------> 4.5x + 2 - 3y
D. 3 terms; variables = x and y; constant = 3 --------------> x - 2y + 3
Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)
