X=area of Sahara. y=area of the Gobi Desert. We suggest this system equations: x+y=4000000 x=7y solve by susbstitution method. (7y)+y=4,000,000 8y=4,000,000 y=4,000,000 / 8=500,000
x=7y x=7(500,000)=3,500,000
The area of Sahara=3,500,00 miles². The area of the Gobi Desert=500,000 miles²
To check: Te sum of their areas is : 3,500,000 miles²+500,000 miles²=4,000,000 miles² Te area of sahara (3,500,000 miles²) is 7 times the area of the Gobi Desert (7*500,000 miles²=3,500,000 miles²).
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3 </span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0 x1 = x2 =6
Sum means add x and y are the numbers sum i 44 x+y=44
smaller s 20 les than larger x=20+y or y=20+x doesn't matter, just pick one x=20+y
substue 20+y for x since they are equal x+y=44 (20+y)+y=44 20+y+y=44 20+2y=44 subtract 20 from both sides 2y=24 divide by 2 y=12 subsitue x=20+y x=20+12 x=32