Answer:
250 students
Step-by-step explanation:
Let the number of sixth grade students be represented by = x
We were told that:
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. 100 sixth-grade students prefer hip hop music.
Hence:
40% of x = 100
40/100 × x = 100
40x/100 = 100
Cross Multiply
40x = 100 × 100
x = 10000/40
x = 250
The number is sixth-grade students is 250 students
Hello!
To find a length, we want to find how many radians our arc length is. Let's convert our 73 degree angle into radians, which will give us our radian length.
(73)≈1.2741
Now, we know our arc length is equal to about 1.2741 radians. Let's multiply this by our radius.
1.2741(6.48)≈8.3
Therefore, our arc length is about 8.3 inches.
I hope this helps!
Answer:
Perpendicular: 4, Parallel: -1/4
Step-by-step explanation:
The slope of a line perpendicular to the given line is the opposite inverse of the slope to the line.
First write the equation of the line in slope-intercept form
-x-4y=7
-4y=x+7
y=-(1/4)x-7/4;
The slope to the line is -1/4; Now find the slope of the perpendicular line;
-(-1/4)^-1 = 4
4
The slope of a line parallel to a line is the same as the given slope;
when we calculated the given slope, it was -1/4
The slope of the line parallel to this line is also -1/4
-1/4