C1/C2 = 2/3
2pi r1 / 2pi r2 = r1/r2 = 2/3
r1/39 = 2/3
r1 = 39*2/3 = 26
So, your answer is 26cm
Answer: n = 75; p = 30
Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.
(b) 10p + 3n = 525
We can use the elimination method to solve these two equations.
1. Multiply the first equation by 2 so that 10p will cancel out:
2(5p + 4n = 450)
- 10p + 3p = 525
10p + 8n = 900
- 10 p + 3n = 525
5n = 375
2. Divide by 5 to get n alone: n = 75
3. Plug 75 into the first equation: 5p + 4(75) = 450
5p + 300 = 450
4. Subtract 300 from 450: 5p = 150
5. Divide by 5 to get p alone: p = 30
We can test if this is correct by plugging our answers into the second equation:
10(30) + 3(75) = 525
300 + 225 = 525
525 = 525
This is a true statement, which means that our answers are correct.
Answer:
Volume=1204.26cm3
Step-by-step explanation:
V=
4
3
π
r
3
=
4
3
π
6.6
3
≈
1204.26043cm³
Answer:
<h2>a = 16</h2>
Step-by-step explanation:
Look at the picture.
The formula of an area of a trapezoid is:
- bases
- height
We have:
Substitute:
<em>divide both sides by 8</em>
<em><u>Option E</u></em>
<em><u>The expression show how much pizza Marcus ate in total is:</u></em>
<em><u>Solution:</u></em>
Given that,
Marcus ate half of a pizza on Monday night
He then ate one third of the remaining pizza on Tuesday
Therefore,
Remaining is given as:
He then ate one third of the remaining pizza on Tuesday
Therefore,
<em><u>Thus expressions show how much pizza Marcus ate in total is:</u></em>
Total = monday night + tuesday
Thus Option E is correct