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natta225 [31]
1 year ago
6

One of the legs of a right triangle measures 9cm and the other leg measures 8cm. Find the measure of the hypotenuse. If necessar

y round to the nearest
tenth.
Mathematics
1 answer:
Aleks04 [339]1 year ago
4 0

Answer:

12.0 cm

Step-by-step explanation:

Use Pythagorean theorem a^2+b^2 = c^2

a = 9

b = 8

hypotenuse = c = \sqrt{8^2+9^2}

c = 12.04 cm

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Can someone please write this as a single logarithm and show work please and thank you
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Answer:  

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Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.  

1) The power property of logarithms states that log_ax^r = rlog_ax. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.  

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

3log_bw+4log_by\\=log_bw^3+log_by^4

2) The product property of logarithms states that log_axy = log_ax+log_ay. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of w^3 and y^4. Apply the property as seen below and find the final answer.  

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2 years ago
PLEASE! WILL GIVE METAL AND FAN.
Pani-rosa [81]
20000*0.45 = 9000 in the bond
20000*0.15 = 3000 in the CD
20000*0.20 = 4000 in stocks
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Gain = 22,436.04 - 20,000 = 2,436.04
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Can someone help with this, please? :)
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Answer:

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Step-by-step explanation:

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