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3 years ago

Use the diagram to complete the statement. m∠ECF = degrees

Mathematics

1 answer:

alexdok [17]3 years ago

5 0

Answer:

36.86989765

Step-by-step explanation:

As Angle GBC = Angle CDF = 45, so CF = CD as it is an isosceles right triangle , then as sin(45) = 1/root(2), so CF = 12, then tan(angle ECF) = FE/CF = 9/12, then angle ECF = tan^-1 (9/12) = 36.86989765.

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olga_2 [115]

Answer:

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Step-by-step explanation:

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3 years ago

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BabaBlast [244]

Answer:

Step-by-step explanation:

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Answer:

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3 years ago

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

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3 years ago

1. Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. Ho

Gre4nikov [31]

Let x = the amount that Seini earned
Then x + 25 = the amount that Gavin
The amount Gavin earned would also = 425 - x (your directions asked you to have 2 equations.)
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Now divide both sides by 2 to find x.

Use all of this data to satisfy the directions.

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3 years ago