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3 years ago

A bathtub can hold up to 110 gallons of water. The bathtub now contains 78

Mathematics

2 answers:

Irina18 [472]3 years ago

7 0

Answer: (B) 30 gallons.

Step-by-step explanation: Lets subtract 110 - 78 to find the maximum amount of additional water, w that can be added to the tub.

110 - 78 = 32.

round 32 to 30.

So, a reasonable value would be 30 gallons.

SpyIntel [72]3 years ago

6 0

Answer: C

Step-by-step explanation:

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The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please

Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

$S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx$

We let the substitution take place.

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Thus, $du = 8dx.$

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$xdx = \frac{1}{8}du$

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$S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx$

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3 years ago

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lisabon 2012 [21]

Answer:

Step-by-step explanation:

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3 years ago

The rectangle shown is dilated by a scale factor of 1/5

Harrizon [31]

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

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Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

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3 years ago