Answer:
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Step-by-step explanation:
Answer:
The answer to your question is b = 8.06 cm
Step-by-step explanation:
Data
hypotenuse = c = 9 cm
long leg = b = ?
short leg = a = 4 cm
Process
This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)
c² = a² + b²
-Solve for b²
b² = c² - a²
-Substitution
b² = 9² - 4²
-Simplification
b² = 81 - 16
b² = 65
-Result
b = 8.06 cm
Answer:
Step-by-step explanation:
To solve using completing square, we need to write the equation as x2+3x=17.
The next step is to add a number such that the square can be completed. The number must be equal to (b/2a)^2, so here it will be (3/2)^2 = 9/4
The equation then becomes x2+3x+(9/4)=17+(9/4).
Solving it further will get you the final answer
First lets simplify the first term and yield (2a)
The second term:
1. 2a * (-1/2) = -a
2. -a + a = 0
Now we have simplified both terms to: (2a) (0)
Anything multiplied by 0 is 0, so the answer is also 0.
Answer:
cos(θ) = (√33)/7
Step-by-step explanation:
The relevant relation is ...
cos(θ) = √(1 -sin²(θ))
cos(θ) = √(1 -(4/7)²) = √(1 -16/49) = √(33/49)
cos(θ) = (√33)/7
