Please answer number 15 and 17
1 answer:
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We use the formula d = rt where d = distance, r = rate, t = time
Equation for Sam:
Equation for Sam's father:
d = (12)(t - 0.33)
d = 12t - 4
Since Sam and his father have the same distance from their home to Sam's school, then
2t = 12t - 4
4 = 12t - 2t
4 = 10t
4/10 = t
t = 0.4 hrs or 24 mins
Sam travel 24 mins from home to school and his father travel 4 mins from home to school. Therefore, it was about 8:24 when Sam's father give the project to Sam.
Equation for Sam:
Equation for Sam's father:
d = (12)(t - 0.33)
d = 12t - 4
Since Sam and his father have the same distance from their home to Sam's school, then
2t = 12t - 4
4 = 12t - 2t
4 = 10t
4/10 = t
t = 0.4 hrs or 24 mins
Sam travel 24 mins from home to school and his father travel 4 mins from home to school. Therefore, it was about 8:24 when Sam's father give the project to Sam.
Just a couple of rules are needed to solve this.
a) When secants cross inside a circle, the measure of the angle where they cross is the average of the measures of the intercepted arcs.
b) When secants meet outside the circle, the measure of the angle where they meet is half the difference of the measures of the intercepted arcs.
c) As a corollary to the first rule, if the secants meet on the circle, the angle where they meet is half that of the intercepted arc (because the other angle in the averge is zero).
a) When secants cross inside a circle, the measure of the angle where they cross is the average of the measures of the intercepted arcs.
b) When secants meet outside the circle, the measure of the angle where they meet is half the difference of the measures of the intercepted arcs.
c) As a corollary to the first rule, if the secants meet on the circle, the angle where they meet is half that of the intercepted arc (because the other angle in the averge is zero).
Raymar ate 1/4. That leaves 3/4 left. Kalen ate 1/4 of the 3/4 left. We need to find how much 1/4 of 3/4 is, so we have to divide 3 by 4. To make this easier to solve, we need to change the form of the fractions to make it in sixteenths instead of fourths. So Raymar ate 4/16 leaving 12/16 left and Kalen ate 1/4 of the 12/16 left.This means we can divide 12 by 4 and get 3. Kalen ate 3/16 of the entire pan. Or just draw a diagram similar to this.
