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xxTIMURxx [149]

3 years ago

11

Fern has 2 1/4 gallons of paint. Each gallon of paint will cover 375.5 ft2. How many square feet will fern be able to cover if s

he uses all the paint?

1 answer:

AURORKA [14]3 years ago

4 0

375.5x2, 375.5/4 = 93.875, so the answer is 844.875

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Answer:

360

Step-by-step explanation:

using the definition

n $P_{r}$ = $\frac{n!}{(n-r)!}$

where n! = n(n - 1)(n - 2)..... × 3 × 2 × 1

then

6 $P_{4}$

= $\frac{6!}{(6-4)!}$

= $\frac{6!}{2!}$

= $\frac{6(5)(4)(3(2)(1)}{2(1)}$ ← cancel 2(1) on numerator / denominator

= 6 × 5 × 4 × 3

= 360

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I NEED HELP ASAP MISSING ASSIGNMENTS HAVE TO BE TURNED IN TOMORROW \

Delvig [45]

Part 1: Circumference of circle = $105.20$ inches & Area of circle = $880.97 inches^{2}$

Part 2: Area of circle = $3.14 ft^{2}$

Part 3: Area of square not covered by circle = $29.69inches^{2}$ .

<u>Step-by-step explanation:</u>

<u>Part 1:</u>

We have radius of circle as $16\frac{3}{4} = 16.75 inches$ . Let's find area & circumference of circle:

Circumference of circle = $2\pi r$

⇒ Circumference of circle = $2\pi r$

⇒ Circumference of circle = $2\pi r$ = $2(3.14)(16.75)$

⇒ Circumference of circle = $105.20$ inches

Area of circle = $\pi r^{2}$

⇒ Area of circle= $\pi r^{2}$

⇒Area of circle = $\pi r^{2}$ = $(3.14)(16.75)^{2}$

⇒ Area of circle = $880.97 inches^{2}$

<u>Part 2:</u>

Circumference of circle = $2\pi r$ = $6.28ft$

⇒ $2\pi r = 6.28$

⇒ $r = \frac{6.28}{2\pi } = \frac{6.28}{2(3.14)} = 1 ft$

Area of circle = $\pi r^{2}$

⇒Area of circle = $\pi r^{2}$ = $(3.14)(1)^{2}$

⇒ Area of circle = $3.14 ft^{2}$

<u>Part 3:</u>

Perimeter of square = $4a$ , a is side of square.

⇒ $4a = 47$

⇒ $a = \frac{47}{4}$

⇒ a = $11.75 inch$

Since radius of circle inscribed in square is half of side of square i.e.

$radius = \frac{a}{2}\\ radius = r = \frac{11.75}{2}$

$r = 5.875inch$

Now, Area of square not covered by circle = Area of square - area of circle

⇒ $a^{2} - \pi r^{2}$

⇒ $11.75^{2} - 3.14(5.875)^{2}$

⇒ $29.69inches^{2}$

∴ Area of square not covered by circle = $29.69inches^{2}$ .

8 0

3 years ago