Step-by-step explanation:
54^2 + a^2 = 90^2
2916 + a^2 = 8100
a^2 = 8100 - 2916
a^2 = 5184
take the square root of 5184
a = 72
you could have also guessed that its a 3 4 5 right triangle
all the sides are multiples of 3 4 or 5
Answer:
<u>372 ft</u>
Step-by-step explanation:
This can be solved through cross multiplication.
310ft/10sec= x/12sec
Multiply the values across from each other. (A good way to know you've done it properly is if the numbers you multiplied are in different measurements. ex: 1 value is feet, the other is seconds)
310 x 12 = 3720
Divide by the remaining value.
3720 / 10 = 372
Answer:
We know that since it's a square, the lenght size is the same on all sides. We can simply use pythagoras theorem:
a^2 + a^2 = 13.5^2
13.5^2 = 182,25
182,25 : 2 (because there are 2 'a') = 91,125
<u>The square root of 91,125 is 9,55 feet.</u>
Answer:
Increasing by $66 per day
Step-by-step explanation:
If sales are dropping at a rate of 2 per day, the sales function is:

If price is increasing by $1 per day, the daily price function is:

Revenue is given by daily sales multiplied by daily price:

The derivate of the revenue function gives us the daily rate of change in revenue:

Currently (t=0) her daily revenue is changing by:

Her revenue is increasing by $66 per day.