Answer:
mmmmmmmkk
Step-by-step explanation:
Given:
Point (7,12) is rotated 1260° counterclockwise about the origin.
To find:
The x-coordinate of the point after this rotation.
Solution:
If a point is rotated 360 degrees then its coordinates remains unchanged.
If a point is rotated 180 counterclockwise about the origin degrees, then

We know that,


After
rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.

The point (7,12) becomes (-7,-12) after rotation of 1260° counterclockwise about the origin.
Therefore, the x-coordinate of the required point is -7.
Convert to base 10:
10 0110₂ = 2⁵ + 2² + 2¹ = 38
Convert to base 3:
38 = 27 + 11 = 27 + 9 + 2 = 3³ + 3² + 2×3⁰ = 1102₃
Answer:
49 inches
Step-by-step explanation:
To obtain the height, h of the ramp ;; we use trigonometry ;
h = opposite and the value of the hypotenus :
Sin θ = opposite / hypotenus
Sin 22 = h / 132
h = 132 * sin 22
h = 132 * 0.3746065
h = 49.44
Height of ramp = 49 inches
Answer:
Yes
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
8/9 = 0.889
2/3 = 0.667
Then, we compare the two decimal numbers to get the answer.
0.889 is greater than 0.667