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2 years ago

I’m confused on #2 can some one please help

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

3 0

Answer: The answer is A

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Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)

mina [271]

The result of the log function $log_a (m * n ^ 2)$ is 60

According to the law of logarithm if $log_ab=y$ then $b=a^y$

Given the following expressions

$log_am=10\\log_an=25$

This can be expressed as

$m =a^{10} \ and \ n = a^{25}$

Substitute the value of m and n into the expression $log_a (m * n ^ 2)$ to have:

$log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60$

This shows that the result of the log function $log_a (m * n ^ 2)$ is 60

Learn more here: brainly.com/question/12049968

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1 year ago

Which expression is equivalent to negative one half open parentheses three minus two fifths close parentheses?

kondor19780726 [428]

The answer is negative three halves minus one fifth

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2 years ago

Read 2 more answers

Translate to algebraic expressions

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2 years ago

Find the product. <br> n(n+3)

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n(n+3)
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2 years ago

Sara and Paul are on opposite sides of a building that a telephone pole fell on. The pole is leaning away from Paul at

r-ruslan [8.4K]

Answer:

a) See figure attached

b) $x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

c) $h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

Step-by-step explanation:

Part a

We can see the figure attached is a illustration for the problem on this case.

Part b

For this case we can use the sin law to find the value of r first like this:

$\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}$

$r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft$

Then we can use the same law in order to find the valueof x liek this:

$\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}$

$x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft$

And that represent the distance between Sara and Paul.

Part c

For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

$sin (59) = \frac{h}{35}$

And if we solve for h we got:

$h = 35 sin (59) = 30.0 ft$

So then the heigth for the building is approximately 30 ft

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2 years ago