2 years ago

MEDALS REWARDED!. . Find the exact value of (cos-1) square root of two divided by two.

1 answer:

4 0

The exact value of the given equation is 45 degrees or pi/4. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

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Solve and type in a different form by using the given theorems of logarithms

scoray [572]

$\log\left(\frac{10}{y}\right) = \log(10) - \log(y)$

The general rule is

$\log\left(\frac{A}{B}\right) = \log(A) - \log(B)$

Other log rules are

$\log(AB) = \log(A) + \log(B)$

$B\log(A) = \log(A^B)$

4 0

2 years ago

The area of a square is 32 cm. find the length of the diagonal

Over [174]

Answer:

8 cm

Step-by-step explanation:

Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.

Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)

(√32)² + (√32)² = c²

(note: the square and the square root cancel out)

32 + 32 = 64

c² = 64 ∴ c = √64 which is 8

Hope this helps!