Answer:
Ignacio can make 5 clockwise rotations.
Step-by-step explanation:
Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:
4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations
The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':
Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2
Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25
Since the number of rotations must be less than 5.25, he can make 5 complete rotations.
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
We can find the base by solving equation (1) for b:
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
Answer:
You would be required to pay $587.50
Step-by-step explanation:
Divide $1762.50 by three:
You get $587.50
To find how much you have left:
Subtract 587.50 from 668.72:
You'd be left with
$81.22
Answer:
Yes.
This probability experiment represents a binomial experiment.
Step-by-step explanation:
A binomial probability experiment is the discrete probability distribution of the number of successes in a sequence of n independent experiments. It has only two outcomes - either yes or no.
For this case it is a binomial probability experiment because the only outcomes available are: she either misses the free kick or gets it.
She walks 3 miles,cause think about it if 6/10 of a mile is .6 or 60% then you times that by 5 and you get three.
