Answer:
Our unknown, "a number," will be represented by "x." "The quotient of five times a number and 7" translates to 5x/7. "is no more than" is less than, which we will show using the symbol "<." 10 will remain 10. So, our inequality is 5x/7 < 10
Step-by-step explanation:
Answer:
PQ = 17
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, thus
TS = TU = 6
VU = VO = 20
PO = PQ = 37 - VO = 37 - 20 = 17
That is PQ = 17
Answer:
Slope is 1/2, equation is y=1/2x+30
Step-by-step explanation:
The formula for a linear equation is y=mx+b
m is your slope and b is your y intercept
Finding Slope:
m = (y2-y1)/(x2-x1)
m = (57.50-37.50)/(55-15)
m = 20/40
m = 1/2(simplified)
Answer:
Claire is standing at a distance of 485.45 meters to Chloe.
Step-by-step explanation:
The track is a circular with a radius of 100 meters.
The total length of the circular track = length of the circumference of a circle
But, length of the circumference of a circle = 2r
So that,
total length of the circular track = 2r
= 2 × × 100
= 628.57
The total length of the circular track is 628.57 meters.
Thus,
the distance of Claire to Chloe = total length of the circular track - distance of Chloe to Claire
= 628.57 - 143.12
= 485.45
This means that Claire is standing at a distance of 485.45 meters to Chloe.