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steposvetlana [31]
3 years ago
9

Toni cleans the circular dining room table whose diameter is 6 feet. The label on the can of cleanser claims coverage for 80 squ

are feet, but she noticed that the can is only half full. Will she have enough cleaner to clean the table? Use 3.14 for π. Remember, it takes two applications.
Answer yes or no.
Mathematics
1 answer:
jeka943 years ago
8 0

Answer:

'no'

Step-by-step explanation:

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Altogether balls 4+2+3+5=14
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P(green)=2/14
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because it goes with replacement these probabilities are constant
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82.8cm measured to the nearest tenth of a centimetre.
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82.8 cm measured to the nearest tenth of 80cm.

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Find two consecutive even numbers such that the difference of one-half the larger and two-fifths the smaller is equal to five. .
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Then, it would be: 1/2 (n+2) - 2/5 n = 5

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Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region boun
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Answer:

a)\: \frac{3}{2} \pi

b) \:\frac{47}{5} \pi

Step-by-step explanation:

y=3\sqrt x,\:\:y=3,\:\:x=0

a) about the line y = 3

3\sqrt x=3  ⇒  x = 1  is the intersection point

So,

V=\int\limits^1_0\pi(3-3\sqrt x)^2\:dx=\pi\int\limits^1_0(9-18\sqrt x+9x)\:dx=\\\\=\pi(9x-12x^{3/2}+9/2x^2)|^1_0=\pi(9-12+9/2)=\frac{3}{2} \pi

b)  about the line x = 5

y=3\sqrt x  ⇒  x=y^2/9

So,

V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi

8 0
4 years ago
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