The list that orders the fractions from least to greatest is:
<h3>
Ordering of fractions</h3>
- To order the fractions from least to greatest, we have to realize their conversion to decimal.
- To realize the conversion, the numerator is divided by the denominator, as ordering decimal numbers are easier than fractions.
Hence, the fractions converted to decimal are:
.
.
Hence, the list from least to greatest is, according to the results of the conversions:
To learn more about ordering of fractions, you can take a look at brainly.com/question/26139168
Answer:
105
Step-by-step explanation:
since its a straight line it would add up to 180 degrees so 52 + 23 + 75 and you need 180 so 180-75 which gives 105 which is the missing angle
Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)
Answer:
Step-by-step explanation:
Using the formula for finding the circumference of a circle.
C = 2πr
r is the radius
radius = diameter/2
radius = 10/2
radius = 5in
C ,= 2(3.14)(5)
C = 20(3.14)
C = 31.4×2
C = 62.8in (for 1 rotation)
For 16 rotations;
C = 16×62.8
C = 1004.8in
The distance covered is 1004.8in
