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iVinArrow [24]
3 years ago
8

Find the area and the circumference of the circle with the radius 6yd.

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

<h2>A = 36π yd² ≈ 113.04 yd²</h2><h2>C = 12π yd ≈ 37.68 yd</h2>

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

The formula of a circumference of a circle:

C=2\pi r

<em>r</em><em> - radius</em>

<em />

We have <em>r = 6yd</em>.

Substitute:

A=\pi(6^2)=36\pi\ yd^2

C=2\pi(6)=12\pi\ yd

If you want round the answers, then use <em>π ≈ 3.14</em>

A\approx(36)(3.14)=113.04\ yd^2

C\approx(12)(3.14)=37.68\ yd

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Mr Prothero places £3003 into a
mamaluj [8]

Answer:

£3,543.54

Step-by-step explanation:

Amount after 2 years = Principal + interest

Get the interest

Interest = PRT/100

Interest = 3003 * 9 * 2/100

Interest = 3003 * 18/100

Interest  = 30.03 * 18

Interest  = 540.54

Amount after 2 years = 3003 + 540.54

Amount after 2 years = £3,543.54

6 0
3 years ago
Which two tables represent the same function?
topjm [15]

Answer:

The 1st and the 5th tables represent the same function

Step-by-step explanation:

* Lets explain how to solve the problem

- There are five tables of functions, two of them are equal

- To find the two equal function lets find their equations

- The form of the equation of a line whose endpoints are (x1 , y1) and

  (x2 , y2) is \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

* Lets make the equation of each table

# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)

∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7

∴ \frac{y-8}{x-4}=\frac{7-8}{6-4}

∴ \frac{y-8}{x-4}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 8) = -1(x - 4) ⇒ simplify

∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides

∴ x + 2y = 20 ⇒ (1)

# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)

∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4

∴ \frac{y-5}{x-4}=\frac{4-5}{6-4}

∴ \frac{y-5}{x-4}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 5) = -1(x - 4) ⇒ simplify

∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides

∴ x + 2y = 14 ⇒ (2)

# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)

∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5

∴ \frac{y-8}{x-2}=\frac{5-8}{8-2}

∴ \frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 8) = -1(x - 2) ⇒ simplify

∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides

∴ x + 2y = 18 ⇒ (3)

# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)

∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14

∴ \frac{y-10}{x-2}=\frac{14-10}{6-2}

∴ \frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1

- By using cross multiplication

∴ (y - 10) = (x - 2)

∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides

∴ -8 = x - y ⇒ switch the two sides

∴ x - y = -8 ⇒ (4)

# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)

∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6

∴ \frac{y-9}{x-2}=\frac{6-9}{8-2}

∴ \frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 9) = -1(x - 2) ⇒ simplify

∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides

∴ x + 2y = 20 ⇒ (5)

- Equations (1) and (5) are the same

∴ The 1st and the 5th tables represent the same function

3 0
3 years ago
Write down the degree of given polynomial 5x⁴+4x²+2x+1​
shusha [124]

Answer:

4

Step-by-step explanation:

To find the degree of a polynomial, identify the term with the greatest exponent. The exponent of that term is the degree of the polynomial.

In the given polynomial 5x⁴+4x²+2x+1​, the term with the greatest exponent is 5x⁴. This term has an exponent of 4, so therefore, the degree of the polynomial is 4.

I hope this helps!

6 0
2 years ago
A sample of 184 light bulbs contained 6 defective bulbs, at this rate ,how many defective bulbs would you expect to find in a sa
givi [52]
184 x 7 = 1288
7 x 6 = 42
so you have 42 <span>defective bulbs</span>
4 0
3 years ago
A cylindrical container has a base area of 100 m2 and is 12m high. if the container is one-third filled with water, what's the v
docker41 [41]
Volume of water=\frac{1}{3}*BA*H
V=\frac{1}{3} *100 m^{2} *12m
V=400m^{3}
5 0
3 years ago
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