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zhannawk [14.2K]
2 years ago
6

Work out the area of this circle take (pi) to be 3.142 and give your answers to 2 decimal places

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
8 0

Answer:

A = 63.63 m^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 = 9/2 = 4.5

A = 3.142 * (4.5)^2

A =63.6255 m^2

Rounding to 2 decimal places

A = 63.63 m^2

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B.32 You get this because a square is perfect, which means it's equal on all sides. So 8x4=32
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Ernie bought 3 12-packs of regular cola, 4 12-packs of diet cola, and 2 6-packs of orange soda. how many cans did he buy?
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Ernie bought 96 can of soda
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What is the equation of line perpendicular to y-3=-4(x+2) and passee through the point (-5,7
netineya [11]

Answer: y=\frac{1}{4}x+\frac{33}{4}


Step-by-step explanation:

1. By definition, two slopes are perpendicular if their slopes are negative reciprocals of each other. So, let's find the slope of the other line.

2. The equation given in the problem is written in Point-slope form:

y-y_1=m(x-x_1)

Where m is the slope.

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m=\frac{1}{4}

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y-7=\frac{1}{4}(x+5)

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7 0
3 years ago
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

Calculations 

c² = α² + β²

74² = 24²+ β² 

<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
3 0
3 years ago
Item 17 The amount of chlorine in a swimming pool varies directly with the volume of water. The pool has 2.5 milligrams of chlor
zvonat [6]
8000 gal *\frac{ 1 L}{0.264 gal}*\frac{2.5 mg}{1 L} = 75,757 mg

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7 0
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