Find the m∡B to the nearest tenth of a degree if cos B = 0.8926 and ∡B is an acute angle

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

7 0

Answer:

26.8°

Step-by-step explanation:

The cosine of an angle is the ratio of the adjacent side of the triangle in which the angle is formed to the hypotenuses side of the triangle. The cosine of the angle gives the ratio of these sides. However, the arc cosine of the ratio gives the angle measured in degrees.

If cos B = 0.8926

then arc cosine 0.8926 which may be expressed as cos-1 0.8926 will give the value of B.

B = cos-1 0.8926

= 26.8°

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Some of the possible factorizations of the monomial given are:

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Step-by-step explanation:

To factorize the monomia you need to express it as a product of two or more monomials. Therefore, you must apply the proccedure shown below:

- Descompose into prime numbers:

$48x^{10}=2*2*2*2*3*x*x*x*x*x*x*x*x*x*x$

- Then, keeping on mind that, according to the Product of powers property, when you have two powers with equal base you must add the exponents, you can make several factorizations. Below are shown some of the possible factorizations of the monomial given:

$(2^4x^5)(3x^5)$