The way you'd set it up would be sin55º/12=sinB/14 (you could also flip the equation so that 12/sin55º=14/sinB, you'll get the same answer either way). Multiply out so that its 14•sin55º=12•sinB, or 11.47=12•sinB. Divide both sides by 12 so that it looks like .96=sinB, then take arcsine of both sides (arcsin= x=sin^-1 theta+360n or x=180- (sin^-1 theta)+360n), which should give you about 72.88º and 107.12º.
If x = 7 you substitute all the x in the equation by 7:
y = -2(7) + 5
y = -14 + 5
y = -9
Hope it helped,
Happy homework/ study/ exam!
Answer:
The original price is $650
Step-by-step explanation:
There's an actual algebra method for this, but this is my method because I find it way easier to remember.
Since the most you can discount out of an item is 100% (well, it's considered free then) let's subtract 100 - 34, which is 66.
Now, turn it into a decimal because it makes the numbers easier- 0.66.
Since when you're finding the discount of an original price, you multiply the original price by the discount- instead for finding the original price for a discounted item we divide $429 by 0.66 instead, since when you divide a number by another number that's under 1 the quotient is a larger number.
So, 429 ÷ 0.66 = 650.
Therefore, the original price of the $429 sale price for a 34% discount is $650.
it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .
<u>Step-by-step explanation:</u>
Here we have , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour. We need to find How long will it take for Braydon and Lauren to get to the same mile marker on the path in the park .Let's find out:
Let after time t they meet each other so , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Distance traveled is given by :
⇒ 
Now , Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour , Distance traveled is given by :
⇒ 
Equating both we get :
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .
Answer:
7.745
Step-by-step explanation:
Square root of 60 equals X.