Start with
Multiply the whole equation by 2. Since 2 is positive, we don't need to switch the inequality sign:
Subtract 3 from both sides:
Answer:
25% decrease
Step-by-step explanation:
First find the amount of decrease ( we know this is a decrease since it got smaller)
24-18) =6
Take this over the original amount
6/24 = 1/4 = .25
Change to percent form
25%
25% decrease
Answer: 4x=3y, 8x=6y
Step-by-step explanation: We can use a simplified form of an equation for this specific problem, since a solution is (3,4), if you plugin 3 for x and 4 for y you get the same thing. Since 4 times 3 equals 3 times 4 you can call x as 4 and y as 3. You can simply multiply this by 2 for another equation since it doesn't affect the ratio. I hope this helps!
We have that
<span>sin x=2/9
we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)
Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43
Sin 2x=0.43
so
cos² 2x=1-sin² 2x---------> 1-[0.43]²-----> 1-[0.1878]----> 0.81
cos² 2x=0.81-----------> cos 2x=0.9
tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48
the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48
Answer:
C. 1 inch = 23 miles
Step-by-step explanation:
To find the scale, add the scale distances shown first.
2.25 + 1.75 = 4 inches on the map
Now, divide the actual mileage (92 miles) by how long it was on the map.
92 / 4
92 = 80 + 12
92/4 = (80/4) + (12/4)
92/4 = 20 + 3
92/4 = 23 miles
That means 1 inch on this map is actually 23 miles. So the scale of the map is 1 inch = 23 miles, which is C.
