A rectangular prism<span>, any pair of opposite faces </span>can<span> be </span><span>bases</span>
Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
- , where
and are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴ and
∴ and
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ =
∴ HJ =
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
The magnetic field is
Direction is inward
Step-by-step explanation:
The diagram for this question is shown on the first uploaded image
From the question we are told that
The radius of BC is
The radius of DA is
The length of CD is
The length of AB is
The current is
The magnetic field is mathematically represented as
Where
Where
so
The direction is into the page
This because the magnitude of the magnetic field due to arc BC whose direction is outward is less than that of DA whose direction is inward
This is because according to Fleming's Left Hand Rule the direction of current is perpendicular to the direction of magnetic field so since current in arc BC and DA are moving in opposite direction their magnetic field will also be moving in opposite direction
Interest rate = 7%
I= PRT where I is the interest earned, p is the principal, r is rate as a decimal, and t is time in years.
A - P will give us the interest earned.
12,150 - 9,000 = 3,150
3150 = (9000)(r)(5)
3150 = 45,000r
r = 0.07
r = 7%