Answer:
Money with Mary = $28
Money with Vivan = $12
Step-by-step explanation
Money with Mary = $ m
Money with Vivan = $v
If mary gave vivan $8 they would have same amount. $ 8 is reduced from Mary's amount 'm' and $8 is added to vivan amount 'v'
m - 8 = v + 8
m = v + 8 +8
m -v = 16 ----------------(I)
If vivan gives mary $8, then mary would have 9 times as much as vivan.
9(v - 8) = m + 8
9v - 72 = m + 8
9v - m = 8 + 72
-m + 9v = 80 --------------(II)
Add equation (I) and (II). Thus m will be cancelled and we will get the value of v
(I) m - v = 16
(II) <u>-m + 9v = 80</u> {Now add}
8v = 96
v = 96/8
v = $ 12
Plugin v = 12 in equation (I)
m - 12 = 16
m = 16 +12
m =$ 28
Answer:
D
Step-by-step explanation:
It’s d
Answer:
74.6 m
Step-by-step explanation:
First look at the rectangle, which is 15 meters wide horizontally and 18 meters long vertically. This rectangle contributes 2(18 m) + 15 m to the perimeter (the 15 m side is the bottom of the figure). That comes to 2(18) m + 15 m, or 51 m.
Next, look at the semicircle. Its diameter is 15 m and thus its total circumference is approximately (3.14)(15 m), or 47.1 m. We take only half of this circumference in calculating the perimeter of this figure: 23.6 m.
The total perimeter of this figure is 23.6 m + 51 m, or approximately 74.6 m.
Answer:
False
Step-by-step explanation:
The point of tangency is the point where a tangent intersects a circle.