D=number of dimes
q=number of quarters
let's count everything in cents
dimes are worth 10 cents
quarters are worth 25 cents
10d+25q=700
divide both sides by 5
2d+5q=140
he has 7 more quarters than dimes
q=7+d
subsitute 7+d for q in other equation
2d+5q=140
2d+5(7+d)=140
2d+35+5d=140
7d+35=140
minus 35 both sides
7d=105
divide both sides by 7
d=15
sub back
q=7+d
q=7+15
q=22
22 quarters and 15 dimes
The correct question is
<span>In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?
we know that
in a circle
</span>2π radians -----------------> lenght of (2*π*r)
2π/3 radians--------------> X
X=[(2π/3)*(2π*r)]/[2π]=(2π/3)*r
the lenght of the arc=(2π/3)*3=2π ft
the answer is 2π ft
Answer:
Step-by-step explanation:
13 cm
33/54 = 44/(a+44)
33(a+44) = 44*54
33a+ 1452 = 2376
33a = 924
a = 28
c = sqrt (33^2 + 44^2)
c = sqrt(1089 + 1936)
c = sqrt(3025)
c = 55
33/54 = 55/(b+55)
33(b+55) = 55*54
33b+ 1815 = 2970
33b = 1155
b = 35
answer
a = 28, b = 35, c = 55
Answer:
1) The length of 
is 20.
2) The length of 
is 17.
Step-by-step explanation:
1) If 
and 
, then we can use the following proportionality ratio:
(1)
Where 
is the length of segment 
.
If 
, then the value of is:
The length of is 20.
2) If 
and 
, then we can use the following proportionality ratio:
(2)
Where is the length of segment 
.
If 
, then the value of is:
The length of is 17.
