Answer:
240π
Step-by-step explanation:
Turbine blade that was 24 inches long is the radius of the circle the bug travels.
So the Circumference is = 2rπ = 2*24*π = 48π
The bug held on for 5 rotations. so the distance that the bug travels = 5*48π = 240π
Answer:
200
Step-by-step explanation:
Out of those 6 numbers, 4 of them are prime sow we have the ratio of 2:3
2/3 * 300 = 200
Answer:
The area of triangle QUV is 24 square feet
-----------------------------------------------
Explanation:
Segment TV is the base of the green parallelogram PRTV
The height is segment RS which is 8 ft. This is marked as the perpendicular dashed segment line (note the right angle marker). RS is perpendicular to SV, which in turn means RS is perpendicular to TV as well.
Area of Parallelogram = Base*Height
96 = TV*RS
96 = TV*8
96/8 = TV
12 = TV
TV = 12
Segment TV is composed of TU and UV, both of which are congruent segments. The single tickmarks show this. The instructions also state "the lengths of segment TU an segment UV are equal"
So TU = UV
TU + UV = TV
UV + UV = TV
2*UV = TV
2*UV = 12
UV = 12/2
UV = 6
The height of triangle QUV is also RS = 8 because triangle QUV is completely enclosed inside the parallelogram, and because RS is perpendicular to UV. The base of triangle QUV is the segment UV = 6
Area of triangle QUV = (base)*(height)/2
Area of triangle QUV = UV*RS/2
Area of triangle QUV = 6*8/2
Area of triangle QUV = 48/2
Area of triangle QUV = 24 square feet
Answer:
-4
Step-by-step explanation:
to do this you use y2-y1/x2-x1
so this would be -4-8/1- - 2
-12/3 = -4