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Alexandra [31]
3 years ago
10

Suppose you draw a line from the center of a clock face to the number 12. When the minute hand gets to 3 on the clock face, the

line and minute hand form a 90 degree angle. What angle does the line and the minute hand make when the minute hand is on 2?
Mathematics
2 answers:
Deffense [45]3 years ago
8 0
It makes an acute angle.
sweet [91]3 years ago
3 0
Just divide 90 by three so whe it hits 3 its 90 then 2 is 60 degrees and the one is 30 degrees
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12 feet

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If you wanted to use the numeric key pad to divide 100 by 2, you would type _____.
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If you wanted to use the numeric key pad to divide 100 by 2, you would type D. 100/2. This is because the / sign is used for division on like a calculator or on the web page. It also can stand for a fraction but here it would stand for dividing. 100/2 = 100 ÷ 2.
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Solve 5x^2 - 7x + 2 = 0 by completing the square.
Reika [66]

Answer:  The correct option is (c) \dfrac{49}{100}.

Step-by-step explanation:  We are given to solve the following quadratic equation by the method of completing the square:

5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.

So,

x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.

Thus, the required solution is x=1,~-\dfrac{2}{5}. and the value of the constant added is \dfrac{49}{100}.

Option (c) is correct.

3 0
3 years ago
A real estate agent earns a 6% commission for the sale of a home. A home sold for $550,000. What was the commission earned by th
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Multiply the sale price by the commission rate:

550,000 x 0.06 = 33,000

He earned $33,000.00

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