Answer:
1/20 of 2 minutes = 6 seconds
B) 17/6
First I multiply 2 times 6 which gave me 12 then I added 12 plus 5 which gave me 17 then I used the number at the bottom which is 6 so the final answer was 17/6
The cosine of an acute angle in a right triangle <span> is the ratio of the length of the adjacent side to the length of the hypotenuse.
</span>If cos(x)=1/2, then:
the adjacent side = 1
the hypotenuse = 2
<span>By the Pythagorean theorem:
</span>the opposite side = √(2² - 1²) = √(4-1) = √3
The sine<span> of an angle is the ratio of the length of the opposite </span>side<span> to the length of the hypotenuse, so:
</span>sin(x) = opposite/hypotenuse = √3/2
The tangent<span> of an angle is the ratio of the length of the opposite side to the length of the adjacent side:
</span>
tan(x) = opposite/adjacent =√3/1 = √3
It’s right before the .3. There are 10 spaces/lines in between the numbers on the number line
After 5 s, the particle traverses a path subtended by an angle of
(3π/4 rad/s) (5 s) = 15π/4 rad
Now, 15π/4 rad = 15/8 * 2π rad, so the arc has a length equal to 15/8 of the circumference of the path:
15/8 * 2π * (3 cm) = 45π/4 cm ≈ 35.3 cm