If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
Answer: 54 ft²
Step-by-step explanation:
Area of a kite is calculated by the formula:
= (Length * Height) / 2
Length = 6 + 6 = 12 ft
Height = 9 ft
Area = (12 * 9) / 2
= 108 / 2
= 54 ft²
Answer:
a. 144 cubic foot
b. 12 ft
c. 18 ft
Step-by-step explanation:
Let the volume of prism A be V_a
and that of prism b be V_b
ATQ, V_a + V_b= 432
also V_a= 0.5 V_b
⇒1.5 V_b= 432
= V_b= 432/1.5= 288 cubic feet
therefore V_a= 144 cubic feet
volume of prism= area of base×height = V_a
24×h = 144
⇒h= 12 ft
A_b= 2/3×24
⇒base area of prism B= 16 sq.ft
now 16×h_b= 288⇒h_b= 288/16= 18 ft
Answer:
6 feet 8 inches
Step-by-step explanation:
Simple interest formula:
I=PRT
I(interest money created in dollars)
P(initial amount of money)
R(interest rate as a decimal)
T(time in years)
I=7000(.07)(6)
I=$2,940
Therefore, the future value of A is $2,940
