Answer:
V = 8/125 cubic units
Step-by-step explanation:
This prism is actually a cube of side length 2/5.
The volume of a cube of side length s is V = s^3.
Here, the volume of the cube (rectangular prism) is V = (2/5)^3, or
V = 8/125 cubic units
Answer:
approximately 56.51 cubic inches
Step-by-step explanation:
volume of a cone = 1 / 3 × pi × radius^2 × height
= 1/3 × 22/7 × 7.29 × 7.4
= 56.5148 cubic inches
Answer:
Females = 17 and males = 23
Step-by-step explanation:
Given that,
Total no of students in the class = 40
Let no. of females = x
No. of males = 6+x
ATQ,
Total students = males + females
40 = x+6+x
40-6 = 2x
34 = 2x
x = 17
Hence, there are 17 females and (6+17= 23) males.
<u>Answer</u>
√7 × √5
√3 × √2
<u>Explanation</u>
√9*√16 = 3 × 4
= 12
= 12/1 ⇒ It is a rational answer.
√7*√5 = √(7×5)
= √35
= 5.916079783.... ⇒ Irrational
√3*√2 = √(3×2)
= √6
= 2.449489743... ⇒ Irrational
4√2*√2 = 4 × √(2×2)
= 4 × √4
= 4 × 2
= 8
= 8/1 ⇒ It is rational
The expressions that would give irrational answers are: √7*√5 and√3*√2

- How do you simplify this?
- x²y+xy² / y²+2/5 × xy


Factor the expressions that are not already factored.
_____
<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>
<u>NUMERATOR</u> 

Factor out xy.

<u>DENOMINATOR</u> 

Factor out 1/5.

_____
Continuing...

Cancel out y in both the numerator and denominator.

Expand the expression.

This can further simplified to as 
