Answer:
n=5/rad
Step-by-step explanation:
Solve for n by simplifying both sides of the equation, then isolating the variable
Answer:
74.6018 Miles per hour
Step-by-step explanation:
Step 1: How many seconds are in an hour? There are 60 seconds in a minute and 60 minutes in an hour, so there are 60*60 = 3600 seconds in an hour.
Step 2: How many feet are in a mile? There are 5280 feet in a mile.
Step 3: To convert feet per second to miles per hour, first multiply by 3600, then divide by 5280. The fraction 3600/5280 reduces to 15/22.
To convert feet per second to miles per hour, multiply by 15/22.
So: 109.416 feet/second * (15/22) = 74.6018 miles/hour
In an accute triangle the 3 angles are less than 90°.
The minimum lenght of the third side is if the other two sides form the lowest possible angle (close to 0 degrees), in which case the length approximates to zero, so if the number is an integer, the minimum length of the fhird side is 1.
The maximum length of the third side is if it is close to the hypotenuse of a right triangle with legs 8 and 15 =>
hypotenuse^2 = 15^2 + 8^2 = 289 => hypotenuse =17. So, the lenght of the third side must be less than 17.
So, the possible lengths of the third side are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, and 16.
Answer:
$0 < p ≤ $25
Step-by-step explanation:
We know that coach Rivas can spend up to $750 on 30 swimsuits.
This means that the maximum cost that the coach can afford to pay is $750, then if the cost for the 30 swimsuits is C, we have the inequality:
C ≤ $750
Now, if each swimsuit costs p, then 30 of them costs 30 times p, then the cost of the swimsuits is:
C = 30*p
Then we have the inequality:
30*p ≤ $750.
To find the possible values of p, we just need to isolate p in one side of the inequality.
So we can divide both sides by 30 to get:
(30*p)/30 ≤ $750/30
p ≤ $25
And we also should add the restriction:
$0 < p ≤ $25
Because a swimsuit can not cost 0 dollars or less than that.
Then the inequality that represents the possible values of p is:
$0 < p ≤ $25
