Answer:
DFG≈26.77°
Step-by-step explanation:
cos = adjacent/hypotenuse
the right half of line DF is 5.
cos⁻¹(5/5.6) = DFG
DFG ≈ 26.77°
Answer:
Choice 4 down
Step-by-step explanation:
The cosine is positive and we are told that the sin is negative. That means that we are in QIV, where x is positive (cos) and y is negative (sin). If we draw a right triangle in this quadrant, we will label the x axis with a 1 (this is the side adjacent to the reference angle for cos), and the hypotenuse as square root of 3. The sin ratio is the side opposite the reference angle over the hypotenuse. That means we need to solve for the side opposite using Pythagorean's theorem:
and
so
and

But since we are in QIV and that is a y value, it is negative.
Therefore,

Rationalizing, you get

<u>Answer:</u>
8 over 9 and 1 over 6
<u>Step-by-step explanation:</u>
A non-terminating, non-repeating decimal is one which continues endlessly
This means that the decimal values keep on recurring limitlessly.
Below are the numbers that can be expressed as non-terminating decimals:
8 over 9 = 0.88888888888 ---> Non-terminating decimal
1 over 6 = 0.16666666666 ---> Non-terminating decimal
while these values are expressed as terminating decimals:
3 over 5 = 0.6 ---> terminating decimal
7 over 2 = 3.5 ---> terminating decimal
Step-by-step explanation:
Using the identity a² - b² = (a + b) (a - b)
=> (3 {p - q})² - (5 {q - r})²
=> [(3 {p - q}) + (5 {q - r})] [(3 {p - q}) - (5 {q - r})]
=> [(3p - 3q) + (5q - 5r)] [(3p - 3q) - (5q - 5r)]
=> [3p - 3q + 5q - 5r] [3p - 3q - 5q + 5r]
=> [3p + 2q - 5r] [3p - 8q + 5r]