Answer:

Step-by-step explanation:
we have to divide the given distance by 3.
Then we will be able to find the distance between markers.
Given distance is

Since, there are three markers,
So, we have to divide this distance by 3
So, the distance between markers is-

So, the distance between marker is

Now, we have to convert this into mixed number.
Then, the distance is-

The image of the right rectangular prism is missing, so i have attached it.
Answer:
volume of the right rectangular prism = 625 in³
Step-by-step explanation:
The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.
Formula for volume of one cube is;
V = a³
where
a is the length of one side of the cube
We are told that this length is 2½ inches
Thus;
a = 2½ = 5/2 inches
>> V = (5/2)³
>> V = 125/8 in³
Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes
Therefore, the volume of the prism is;
Volume of one cube × 40
>> volume of the prism = (125/8) × 40
volume of the prism = 625 in³
The solution to the problem is as follows:
cot θ = 1 / tanθ
<span>cot θ tanθ = tanθ / tanθ = 1
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
53.51 years
Step-by-step explanation:
FV = PV e⁽ⁿˣ⁾
FV = Future Value = $5000
PV = Present Value = $1500
n = Interest Rate = 2.25%
x = time in years = ?
e = mathematical constant = 2.7183
So,
5000 = 1500 e⁽⁰°⁰⁰²⁵ˣ⁾
50 / 15 = e⁽⁰°⁰⁰²⁵ˣ⁾
㏑ (3.3333) = 0.0225x ㏑ (2.7183)
1.2040 = 0.0225x
x = 53.51 year
So, If compounded continuously at an APR of 2.25% the amount invested in an account of $1500 will accumulate to $5000 in 53.51 years.