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Jlenok [28]
3 years ago
6

I NEED THIS ASAP PLEASE !!! I’ll make you the brainliest

Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer:

Part 1: The fractional part of the circumference is 1/4.

Part 2: 100.53 or 100.48 if you use 3.14 as pi

Step-by-step explanation:

Part 1: A circle is 360 degrees and a right angle is 90, so the fractional  part is 90/360 or 1/4.

Part 2: 0.5pi*r is the length of the arc. The radius, or r, is 16 cm, a half of 32. It is 2 * pi * 16 = 32 * pi. 32 * pi = 100.53 or 100.48 if you use 3.14 as pi.

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Two competitive neighbours build rectangular pools that cover the same area but are different shapes. Pool A has a width of (x +
GenaCL600 [577]

<u>Answer: </u>

a)Dimensions of pool A are length = 6.667m and width = 3.667 m and dimension of pool B are length = 7.333m and width = 3.333m.

b) Area of pool A is equal to area of pool B equal to 24.44 meters.

<u> Solution: </u>

Let’s first calculate area of pool A .

Given that width of the pool A = (x+3)  

Length of the pool A is 3 meter longer than its width.

So length of pool A = (x+3) + 3 =(x + 6)

Area of rectangle = length x width

So area of pool A =(x+6) (x+3)        ------(1)

Let’s calculate area of pool B

Given that length of pool B is double of width of pool A.

So length of pool B = 2(x+3) =(2x + 6) m

Width of pool B is 4 meter shorter than its length,

So width of pool B = (2x +6 ) – 4 = 2x + 2

Area of rectangle = length x width

So area of pool B =(2x+6)(2x+2)        ------(2)

Since area of pool A is equal to area of pool B, so from equation (1) and (2)

(x+6) (x+3) =(2x+6) (2x+2)    

On solving above equation for x    

(x+6) (x+3) =2(x+3) (2x+2)  

x+6 = 4x + 4    

x-4x = 4 – 6

x = \frac{2}{3}

Dimension of pool A

Length = x+6 = (\frac{2}{3}) +6 = 6.667m

Width = x +3 = (\frac{2}{3}) +3 = 3.667m

Dimension of pool B

Length = 2x +6 = 2(\frac{2}{3}) + 6 = \frac{22}{3} = 7.333m

Width = 2x + 2 = 2(\frac{2}{3}) + 2 = \frac{10}{3} = 3.333m

Verifying the area:

Area of pool A = (\frac{20}{3}) x (\frac{11}{3}) = \frac{220}{9} = 24.44 meter

Area of pool B = (\frac{22}{3}) x (\frac{10}{3}) = \frac{220}{9} = 24.44 meter

Summarizing the results:

(a)Dimensions of pool A are length = 6.667m and width = 3.667 m and dimension of pool B are length = 7.333m and width = 3.333m.

(b)Area of pool A is equal to Area of pool B equal to 24.44 meters.

5 0
3 years ago
Select the correct answer.
Nadusha1986 [10]

Answer:

x^2 -10x+2

Step-by-step explanation:

(3x^2 - 11x - 4) – (x – 2) (2x + 3)

FOIL

(3x^2 - 11x - 4) – (2x^2-4x+3x-6)

Combine like terms

(3x^2 - 11x - 4) – (2x^2 -x-6)

Distribute the minus sign

3x^2 - 11x - 4 – 2x^2 +x+6

Combine like terms

x^2 -10x+2

8 0
2 years ago
Write the slope-intercept form of each line
Citrus2011 [14]
24)y=x-4
21) y=-3x+1
23) y=4/5x+6
3 0
3 years ago
Which is an equation of the line with a slope of 2/3 passing through the point (4,-1)?
Bond [772]

Answer:

y=2/3x-11/3

Step-by-step explanation:

to find the y intercept, you can input your values into the equation:

b=y1−m⋅x1

When you do that, you get:

b=−1−(2/3)⋅(4)=−11/3

When you convert that equation into y=mx+b form, you get:

y=2/3x-11/3

Please mark Brainliest ;)

3 0
2 years ago
Answer help me me me me
Kobotan [32]

Answer:

409

Step-by-step explanation:

296 = 200 + 90 + 6
The value of the 9 is 90 in 296.
1/10 of 90 is 9. The only number that has a 9 in the units digit is 409.

5 0
1 year ago
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