Acircular pond has a circumference of 628 feet. a model boat is moving directly across the pond to the center. find the distance the boat traveled to get to the center of the pond

100 feet

Step-by-step explanation:

The general formula for the circumference of a circle is:

C = 2π(r) where 'r' is the radius, or distance from the outside of the circle to the center.  Given the circumference of the pon as 628 feet, we can solve for the radius, or distance the boat traveled to the center of the pond:

628 = 2π(r)

Divide by 2: 628/2 = 2πr/2 or 314 = πr

Divide by π (3.14) = 314/3.14 = πr/3.14

solve for r: r = 100 ft

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true