Hello!
3 inches equals 90 miles
We have to find what multiplied by 3 is 1/2
we can do 3 / 1/2 to find this
3 / 0.5 = 6
So they divide it by 6
We do 90/6
90/6 = 15
The answer is 15
Hope this helps!
By "which is an identity" they just mean "which trigonometric equation is true?"
What you have to do is take one of these and sort it out to an identity you know is true, or...
*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5 cscx = 5/3
cosx = 4/5 secx = 5/4
tanx = 4/3 cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!
Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.
Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)
Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 + 3/4)².
By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
Answer:
Step-by-step explanation:
x-117+120
x+3
Answer:
Final mean value = 24.
Mean value decreased by 6 finally.
Step-by-step explanation:
Total number of restaurant initially = 4
Mean number of tables in restaurants = 30
So, total number of tables in restaurants = 4×30 = 120
Now,
He buys 2 new restaurants with 15 tables and 9 tables .
So, final number of tables = 120 + 15 + 9 = 144.
And, final number of restaurants = 4 initially + 2 newly added = 6 restaurants.
Thus , final mean value of tables in restaurants = 
= 24.
Thus , mean value decreased by 6 finally
