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Nostrana [21]
3 years ago
5

How long does it take the otter to swim 90 feet?

Mathematics
2 answers:
marta [7]3 years ago
8 0

Answer:

11 sec

Step-by-step explanation:

90 (distance) /8.21333 (feet per sec.)= 11

inysia [295]3 years ago
5 0

Answer:

15-20 Sec

Step-by-step explanation:

If its a professional the it would take that many.

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The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f
WITCHER [35]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)\\C=6\pi\ cm

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

4 0
3 years ago
What kind of taxes are likely to pay for universities and police? a. local taxes b. state taxes c. federal taxes d. income taxes
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The best choice is B, state taxes !
7 0
3 years ago
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Rewrite the rational exponent as a radical by extending the properties of integer exponents.
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\bf \cfrac{11^{\frac{2}{5}}}{11^{\frac{1}{4}}}\implies 11^{\frac{2}{5}}\cdot 11^{-\frac{1}{4}}\implies 11^{\frac{2}{5}-\frac{1}{4}}\implies 11^{\frac{8-5}{20}}\implies 11^{\frac{3}{20}} \\\\\\ \sqrt[20]{11^3}\implies \sqrt[20]{1331}

5 0
3 years ago
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An electronic device that previously sold for $21.00 has been reduced to $17.43. The price reduction, rounded to the near east w
svet-max [94.6K]

The percentage of reduction is 17%

<u>Explanation:</u>

Original price = $21

Reduced price = $17.43

Percentage of reduction = ?

Difference in price = $21 - $17.43

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Percentage of reduction = \frac{difference}{original} X 100

                                         = \frac{3.57}{21} X 100\\\\= 17

Therefore, percentage of reduction is 17%

7 0
2 years ago
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