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3 years ago

Use cavalieri's principle to a circular pillar candle is 2.8 inches wide & 6 inches tall. find the volume of the candle.

1 answer:

5 0

The candle has the shape of a cylinder with height H=6 in, and radius of the circular base R= (2.8)/2 =1.4 (in).

The volume of the cylinder is Area(base)*height =

$\pi R^{2} *H=3.14* (1.4)^{2}*6= 37$ (in cubed)

According to Cavalieri's principle, the volume of the candle is equal to the volume of the cylinder we described.

Answer: 37 in cubed

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Solve the following quadratic inequality 2x^2+3x-5>0

madreJ [45]

Answer:

x < -2.5 and x > 1

Step-by-step explanation:

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3 years ago

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Kiko baked a batch of cookies. She ate 3 cookies and then gave half of the remaining cookies to her friends. If c represents the

tatiyna

Answer: (c - 3) / 2 = x

Step-by-step explanation:

If c represents the cookies, then you remove 3 because she ate 3 of the cookies. Since half of the remainder of the cookies were given to her friend, you must divide the product of c - 3, by 2. The reason for the parenthesis is so that it overrules PEMDAS, as parenthesis goes before division.

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3 years ago

Graph the first six terms of a sequence where a1 = 2 and r = 4.

zavuch27 [327]

We are given with
a1 = 2
r = 4

These are components of a geometric series. The first term is 2 and the common ratio is 4. To get the first six terms, we use the formula:
an = a1 r^(n-1)
a1 = 2 (4)^(1-1) = 2
a2 = 2 (4)^(2-1) = 8
a3 = 2 (4)^(3-1) = 32
a4 = 2 (4)^(4-1) = 128
a5 = 2 (4)^(5-1) = 512
a6 = 2 (4)^(6-1) = 2048

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3 years ago

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How do you do this equation? 9x+(y)i-5=-12+4

Vaselesa [24]

$9x+yi-5=-12+4\\\\(9x-5)+yi=-13\iff9x-5=-13\ and\ y=0\\\\9x=-13+5\\9x=-8\\x=-\frac{8}{9}\\\\Answer:x=-\frac{8}{9}\ and\ y=0.$

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3 years ago

PLEASE HELP I’M SO CONFUSED

bekas [8.4K]

Answer:

a. $45 an hour

b. 5.25 hours

Step-by-step explanation:

a. The plumber charges $75 per job, so it is irrelevant to the number of hours they work. 45(h) is $45 multiplied by the number of hours they work.

First, plug the numbers into the equation, the cost being C(h):

311.25 = 45(h) + 75

Next, subtract $75 as it is a set price that is always payed:

236.25 = 45(h)

Then, divide both sides by 45 to find how many hours were worked:

h = 5.25

Hours = $5.25

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3 years ago