Hello from MrBillDoesMath!
Answer:
4 Pi
Discussion:
72/360 = 1/5 so the length of the arc is (1/5) the circumference or
(1/5) ( 2 Pi * 10) => C = 2 Pi r
(20/5) Pi =
4 Pi
Thank you,
MrB
The sides of the triangle are 3x, 4x and 5x
3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5
first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm
Answer:
r = -7
Step-by-step explanation:
Solve for r:
-6 (2 r - 2) = 40 - 8 r
Expand out terms of the left hand side:
12 - 12 r = 40 - 8 r
Add 8 r to both sides:
8 r - 12 r + 12 = (8 r - 8 r) + 40
8 r - 8 r = 0:
8 r - 12 r + 12 = 40
8 r - 12 r = -4 r:
-4 r + 12 = 40
Subtract 12 from both sides:
(12 - 12) - 4 r = 40 - 12
12 - 12 = 0:
-4 r = 40 - 12
40 - 12 = 28:
-4 r = 28
Divide both sides of -4 r = 28 by -4:
(-4 r)/(-4) = 28/(-4)
(-4)/(-4) = 1:
r = 28/(-4)
The gcd of 28 and -4 is 4, so 28/(-4) = (4×7)/(4 (-1)) = 4/4×7/(-1) = 7/(-1):
r = 7/(-1)
Multiply numerator and denominator of 7/(-1) by -1:
Answer: r = -7
The diameter is 12; since 6 is the radius, add 6 again to get the diameter
Answer:
0.186
Step-by-step explanation:
6.2
<u>x 0.0</u><u>3</u>
6
1
6.2
<u>x 0.0</u><u>3</u> since 6*3=18, we have to carry the 1
86
1
6.2
<u>x 0.0</u><u>3</u>
186
6.2
<u>x 0.</u><u>0</u><u>3</u>
186
0
6.2
<u>x 0.</u><u>0</u><u>3</u>
186
00
6.2
<u>x </u><u>0</u><u>.03</u>
186
00
0
6.2
<u>x </u><u>0</u><u>.03</u>
186
+ 00 add the partial products
<u> 0</u><u>0 </u>
00186
6.2
<u>x 0.</u><u>03</u><u> </u> count how many digits are after the decimal point from each factor =3 and place in product
186
+ 00
<u> 00 </u>
00.186=0.186
<em>answer=0.186</em>