9514 1404 393
Answer:
A'B' = 3×AB
Step-by-step explanation:
Any linear measure on the scaled-up drawing will be the measure of the original, multiplied by the scale factor.
A'B' = 3×AB
The sum formula for a geometric sequaence is:
sum(n) = a1(1-r^n)/1-r
Where n is the number of terms, a1 is the first term and r is the common ratio:
s(8) = 3(1-1/2^8) / (1-1/2)
s(8) = 3(1-1/256) / 1/2
s(8) = 2 253/256 / 1/2
s(8) = 765/128
The answer is C.
Answer: 86
Step-by-step explanation:
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
Answer:
Radius: 19 yards
Diameter: 38 yards
Circumference: 119. 32
Step-by-step explanation:
Radius
To find the radius you divide the diameter by 2 because, the diameter is a; a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
So 38 ÷ 2 = 19
So the radius is 19.
_____________________
Circumference
To find the Circumference you need to do 2·π·19
C=2·π
2·π = 6.28
6.28 · 19 = 119. 32
Circumference is 119. 32
