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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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Answer:

x=7

Step-by-step explanation:

Since this is a parallelogram, you can say that the 5x+3 will equal to 38 in this situation. 38-3 =35.

$\frac{35}{5} \\\\x=7$

So the answer is 7

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3 years ago

Given a required reserve ratio of 10 percent for all banks, total bank reserves of $400 billion could support maximum deposits o

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Answer:

The maximum deposit is $4,000 billion.

Step-by-step explanation:

Consider the provided information.

It is given that the required reserve ratio of 10 percent for all banks.

It is given that total bank reserves of $400 billion.

Let the maximum deposit is x.

Therefore, 10% of x = $400 billion

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$x=\frac{100}{10}\times \$400\text{ billion}$

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$x=\$4000\text{ billion}$

Hence, the maximum deposit is $4,000 billion.

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3 years ago

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Answer:

Step-by-step explanation:

2,400 divided by 400 = 6

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3 years ago

What is the value of g(−3) when g(x)=2x−2 ?

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3 years ago

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The table of values is given as

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2 ?

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Number of Levels Time (hours)

2 y

3 1.5

The ordered pairs from the table are

(x, y) = (2, y) and (3, 15)

The table shows the proportional relationship

This means that the equation can be represented as

y = Y/X * x

Where

(x, y) = (2, y)

(X, Y) = (3, 1.5)

So, we have

y = 1.5/3 * 2

Evaluate the quotient

y = 0.5 * 2

This gives

y = 1 hour

Convert to minutes

y = 60 minutes

Hence, the time is 60 minutes