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Gnoma [55]
3 years ago
11

I’m not sure how to solve this. Please show how you solve this problem, thank you.

Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0

Answer:

Pretend that H is the midpoint of AB, connect O and H

=> OH is the median of ΔOAB

Since we know that OA = OB => ΔOAB is an isosceles triangle

=> OH is also the height of ΔOAB

=> ∠OBA = ∠OAB = (180° - ∠AOB)/2 = (180° - 120°)/2 = 60°/2 = 30°

Now look at ΔOHB (that you create by connecting O and H)

We have:

cos30° = BH/OB

=> BH = cos30° · OB = √3/2 · x = (√3 x)/2

Because we have H as the midpoint of AB, we know that:

AB = 2 · BH = 2 · (√3 x)/2 = √3 x

So the answer is B

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What digits makes 3,71? Divisible by 3 (connections academy unit test)
wlad13 [49]

Since we know that a number is divisible by 3 if the sum of all digits is divisible by 3.

Let us check which digits will make 371? divisible by 3.

3+7+1+0=11

11 is not divisible by 3.

Now let us check other digits as well.

3+7+1+1=12

12 is divisible by 3.

3+7+1+4=15

15 is also divisible by 3.

3+7+1+7=18

18 is divisible by 3 as well.

Therefore, 1, 4 and 7 in tenth place will make our number divisible by 3 and our numbers will be 3711, 3714 and 3717.

6 0
3 years ago
The first four stripes on a wall with 100 stripes are red , blue, white, and purple, These four colors repeat in the same order.
liubo4ka [24]

Answer: the 55th stripe is white

Step-by-step explanation:

The first four stripes on a wall with 100 stripes are red , blue, white, and purple. The four colors repeat in the same order. This means that Red always follow blue which is followed by white and then purple. This means that red would always start each new and consecutive set of four stripes and purple will always end it

We want to determine the 55th stripe. The last four stripes that include 55 ends with the 56th stripe. This means that the 56th stripe is purple. Therefore, the 55th stripe would be white because it follows purple.

3 0
3 years ago
Consider Michelle and Gladys, two neighbors who each earn the same salary. Gladys pays less in federal income taxes than Michell
goldenfox [79]

Sad to say it is likely D.  If you are in the United States, I wouldn't know what deductions are available, but here are some possibilities.

1. Gladys is a single Mom. She gets to deduct her child.

2. Gladys owns her own home and gets to deduct her municipal tax. Michelle is renting and may be able to deduct something but not as much.

3. Gladys gets to deduct medical expenses. Michelle does not.

4. Gladys has a travelling allowance that is deductible. Michelle does not.

5. Gladys goes to church and tithes. Michelle does not.

6. Gladys has a registered savings plan. Michelle does not.

The problem is that the two women might very well be in a different tax bracket when all the deductions are considered. That depends on how the US system works. I don't think you are supposed to choose A. All other things being equal, they should be in the same tax bracket.

I don't see how B would come about. Usually state is dependent on Federal (it is in Canada anyway).

C is definitely wrong unless the savings plan is registered. Any savings plan that produces dividends or interest that is not registered is taxable.


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