Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base = 
= 
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base = 
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead = 
= 
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
Answer:
You have to translate these sentences into expressions. I am not going to solve all of these because if I explain one/two problems to you, you'll get the hang of it. Seven more than three times a number: 7+3x; Five times a number decreased by six: 5x-6
Step-by-step explanation:
Why? We don't know what number that is, so we can put any variable like (x, y, z, a, b, etc.). Three times a number is simply that number times 3. In this case we would input: 3*x, or 3x. 7 more than that number is 3x+7. Five times a number decreased by six: 5x-6 . Remember: it is simply 5*x which simplifies to 5x. Decreased is take away, so take away 6, and get 5x-6
Key words: Quotient: the result after dividing two/or more numbers; Product: the result after multiplying two/ or more numbers; Decreased: take away (Example: x decreased by 7=x-7)
I hope you understand!! It is very simple after you start to get the hang of it!!
3 is factor of 21 but not a multiple of 7
yes ?
Answer:
54000-65000
Step-by-step explanation:
round the numbers first down to 1200 and 45, and multiply, then round up for the larger, like 1300 and 50 to get your answer.
Answer:
0.22 hour, or 13.33 minutes
Step-by-step explanation:
2/9 hour is roughly equivalent to 0.22 hour, or 13.33 minutes.