Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 270 cm³
height = 5 cm
length = ?
width = ?
Formula
Volume of a rectangular prism = height x length x width
- Solve for Area of the base (height x length)
Area of the base = Volume / height
-Substitution
Area of the base = 270 / 5
-Result
Area of the base = 54 m²
2.- Find the prime factors of 54
54 2
27 3
9 3
3 3
1
3.- The possible values of the sidas of the rectangle are:
Combining the prime factor of 54.
Length Width
2 x 3 = 6 and 3 x 3 = 9
or 2 x 3 x 3 = 18 and 3 x 1 = 3
or 3 x 3 x 3 = 27 and 2 x 1 = 2
Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.
Situation A : The number of miles Rashid drives increases over a period of 5 hours.
→ in this situation both variable no. of miles and period of time are increasing. so it is not represent a inversely proportional relationship.
in next two situation , two variables are increasing with each other.
so we take last situation ↓
Situation : Robin has $100 to share evenly with his cousins at the fair. As the number of cousins who arrive increases, the amount that each person receives
decreases.
→ in this situation , both variable viz no. of cousins and amount they got is inversely proportional to each other. when no. of cousins are increasing than amount is decreasing. so this last one situation represent the inversely proportional relationship.
thanks ❤
The mathematical sentence can be written as:
x^3 = y^5
<h3>
How to write the expression?</h3>
A number a to the power of n is written as:
a^n
Then:
"x to the power of 3 is equal to y to the power of 5"
Would be written as:
x^3 = y^5
Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.
If you want to learn more about expressions, you can read:
brainly.com/question/4344214
Answer:
The answer is 68°
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
- A right angled-triangle IGH.
- where, m∠G = 90°
<h3><u>To </u><u>Find</u>;</h3>
We know that
tan θ = Opp ÷ Adj
tan θ = 5 ÷ 2
tan θ = 2.5
tan θ = 68.2 ≈ 68
We know that tan 68 = 2.5
Thus, The m∠I is 68°
<u>-TheUnknownScientist 72</u>