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3 years ago

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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Tanya [424]

Step-by-step explanation:

(1) Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial) 2x²+6x-20=0

2x²+6x-20

2(x²+3x-10)

the factors are 2 and (x²+3x-10)

(2) Factor the polynomial completely. (4 points: 2 point for each factor)

2(x²+3x-10)

2(x²-2x+5x-10)

2(x(x-2) + 5(x-2)) group like terms

2(x+5)(x-2)

(3) If a product is equal to zero, we know at least one of the factors must be zero. And the constant factor cannot be zero. So set each binomial factor equal to 0 and solve for x, the width of your project. (2 points: 1 point for each factor)

constant = 2 cannot be zero

the other factors are (x+5) and (x-2)

(x+5)=0 => x= -5

(x-2)=0 => x=2

(4) What are the dimensions of your project? Remember that the width of your project is represented by x. (2 points: 1 point for each dimension)

thank you so much, sorry if it's a little confusing!!

(it is indeed confusing, because physical dimensions cannot be negative)

The dimensions of the project (assumed a rectangle) are +2 and -5

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3 years ago

1. The variable y varies inversely with x and y = 6 when x = 3.

Y_Kistochka [10]

Inverse variation means y=k/x, we are given (3,6) so

6=k/3

k=18 so

y=18/x

y=18/27

y=2/3

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3 years ago

Use compatible numbers to find two estimates: 17 ÷1569

Mekhanik [1.2K]

I dont know what you mean but i devided 17 and 1569 and it =s 0.0108349267

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3 years ago

Someone please help!

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Here are the log properties you need:
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3 years ago

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Dimas [21]

Answer:

tvubhgfyvug fyicvuui

Step-by-step explanation:

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3 years ago