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Oksana_A [137]
4 years ago
8

If the combined area of the white and orange regions is 100π, what is the area of ONLY the orange region?

Mathematics
2 answers:
7nadin3 [17]4 years ago
3 0
<span>64π</span><span> is correct, since the </span>area<span> of the white </span>circle<span> is 36</span>π, and 100π<span> - 36</span>π<span> = 64</span>π<span>.</span>
Sunny_sXe [5.5K]4 years ago
3 0
The area of orange=total-white

given
all=100pi

remember
area=pi times radius^2
white radius is 6
area=pi6^2
area=36pi

areaorange=areatotal-areawhite
areaorange=100pi-36pi
areaorange=64pi square units
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If 24 bags of sugar with equal weight weigh 21 kg, how many bags of sugar would weigh 122kg?​
aleksandrvk [35]

Answer:

24 bags = 21 kg

1.142 bag = 1 kg

About 139 bags = 122 kg

You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.  

Your final answer: 139 bags

I hope this helped!

6 0
2 years ago
The difference between one-half a number and the number is 8 find the number
kolbaska11 [484]

Answer:

The number is  48

Step-by-step explanation:

First, let's call the number we are looking for n.

We can then write "two-thirds of the number" as 2/3n

We can also write "one-half of a number" as 1/2n

Finally, we are told 1/2n is the same as 2/3n −8 or: 1/2n = 23n −8  

We can now solve for n: 1/2n − 2/3n = 2/3n −8 − 2/3n 1/2n − 2/3n = −8We next need to get the fractions over common denominators, in this case, 6 by multiplying each fraction by the necessary for of 1: (3/3) 1/2n − (2/2) 2/3n = −8 3/6n − 4/6n = −8 − 1/6n = −8.  

We can finally solve for n by multiplying by -6 to isolate n −6 ⋅(−1/6)n = −8⋅ − 6  

1n = 48

n =48

8 0
3 years ago
A bug was running along a number line at a speed of 11 units per minute. It never changed its direction. If at 7:15 it was at th
barxatty [35]

Answer:

155 Units

Step-by-step explanation:

Rate of Bug (given) = 11 units PER MINUTE

It never changed direction, so it was going in positive direction (assume).

In 7:15 pm (evening), it was at Point 100,

We want the point at which it was at 7:20 pm.

7:20pm - 7:15pm = 5 minutes

So, time passed 5 minutes. It's rate is 11 units PER MINUTE, so in 5 mins:

11 * 5 = 55 units

Assuming he is going in positive direction, the bug will be at:

100 + 55 = 155 Units

8 0
3 years ago
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Dmitry_Shevchenko [17]

Answer:

3 and 3/4 hours, (3 hours and 45 minutes).

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