Answer: option D is the correct answer
Step-by-step explanation:
The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.
Area of a sector is expressed as
#/360 × π × r^2 and # is in degrees
Therefore, area of the shaded portion or sector = 45/360 × π × 4^2
= 45/360 × 16π
= 45/360 (16π)
Answer:
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Step-by-step explanation:
The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.
28x - 7 + 24x + 18 = 180
52x + 11 = 180
52x = 169
x = 169/52
x = 3.25
Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.
12y + 30 = 24x + 18
We know that x = 3.25.
12y + 30 = 24(3.25) + 18
12y + 30 = 78 + 18
12y = 66
y = 66/12
y = 5.5
I don't know what the problem is asking for since you don't show.
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Think:
7:55 a.m. is 5 minutes (5/60 hrs) before 8 a.m.;
from 8 to noon it's 4 hours, and from noon to 2:40 p.m. is 2 2/3 hours.
Thus, you're in school 5/60 hrs + 4 hrs + 2 2/3 hrs, or
6 2/3 hrs + 5/60 hrs, or 6 40/60 hrs + 5/60 hrs, or
6 45/60 hrs, or 6 3/4 hrs.
Of course there are other ways in which you could do this problem:
4 hrs 5 min plus 2 hrs 40 min comes out to 6 hrs 45 min, or 6 3/4 hrs.
Answer:
6cm
Step-by-step explanation:
correct for 100 points i swear
