Pythagorean Theorem
a² + b² = c²
c = 13
a = 4
(Missing side) = b
4² + b² = 13²
16 + b² = 169
16 - 16
169 - 16 = 153
Square Root of 153 = 12.369
b = 12.369
The missing side is 12.369 (rounded to 12 as a whole number)
Answer:
3/5 or 0.6
Step-by-step explanation:
Here, given the value of tan theta , we want to find the value of sine theta
Mathematically;
tan theta = 0pposite/adjacent
Sine theta = opposite/hypotenuse
Firstly we need the length of the hypotenuse
This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.
Let’s call the hypotenuse h
h^2 = 3^2 + 4^2
h^2 = 9 + 16
h^2 = 25
h = √(25)
h = 5
Now from the tan theta, we know that the opposite is 3
Thus, the value of the sine theta = 3/5 or simply 0.6
<span>The exact solution of cos (17</span>π<span>/6) is as follows:
First change the angle into degrees.
17(</span>π/6) (180°/π) = 510°
Then we calculate the cosine of the angle above and it as follows:
cos 510° = -(√3)/2
Hope this answers the question. Have a nice day.
Answer:
30
Step-by-step explanation:
To compare the numbers, divide the first number by the second number.
(7.4 x 10^8)/(2.5 x 10^7) = (74 x 10^7)/(2.5 x 10^7) = 74/2.5 = 29.6
Answer: 30
Answer:
6(x-1)
Step-by-step explanation:
Open brackets.
4x-8+2x+2
Solve and simplify
6x-6
You can take 6 common
6(x-1)