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3 years ago

M and N are complementary angles, fill in the blank Sin M = 12/19, Cos N

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

8 0

Answer:

12/19

Step-by-step explanation:

M and are complementary then

sinM=cosN

Given: sinM=12/19

cosN=12/19

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What is the simplified base of the function f(x)=1/4(<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B108%7D%20%5E%7Bx%5C%5C%7

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The simplified function of $f(x) = \frac 14(\sqrt[3]{108^x})$ is $f(x) = \frac {3^x}4(\sqrt[3]{4})^x$

<h3>How to simplify the base function?</h3>

The function is given as:

$f(x) = \frac 14(\sqrt[3]{108^x})$

Expand 108

$f(x) = \frac 14(\sqrt[3]{27 * 4})^x$

Take the cube root of 27

$f(x) = \frac 14 * 3^x(\sqrt[3]{4})^x$

Evaluate the product

$f(x) = \frac {3^x}4(\sqrt[3]{4})^x$

Hence, the simplified function of $f(x) = \frac 14(\sqrt[3]{108^x})$ is $f(x) = \frac {3^x}4(\sqrt[3]{4})^x$

Read more about functions at:

brainly.com/question/12431044

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3 years ago

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3 years ago

The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find

vodka [1.7K]

Answer: 49°, 49°, 82°

<u>Step-by-step explanation:</u>

Let x represent the base angles

then 2x - 16 is the vertex angle.

Triangle Sum Theorem states that the sum of the angles is 180°

(x) + (x) + (2x - 16) = 180

4x - 16 = 180

4x = 196

x = 49

Base angles: x = 49

Vertex angle: 2(49) - 16 = 82

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3 years ago