Given:
The radius of the circle is 17 in.
Central angle of intercepted arc is 0.7 radians.
To find:
The length s of the intercepted arc.
Solution:
The formula for the length of intercepted arc is:

Where, r is the radius of the circle and
is the central angle in radians.
Substituting
in the above formula, we get


Therefore, the length of the intercepted arc is 11.9 inches.
14 karat gold is 58.3333...% gold
We have 75% gold and 50% gold and we need to make 200 grams of 58.3333...% gold.
A) x + y = 200
B) .75x + .50y = ( (14/24) * 200)
We multiply equation B) by -1.3333... and get
B) -x -.6666...y = -155.5555... then adding A)
A) x + y = 200 we get
.3333...y = 44.4444...
y = 133.3333... grams 12 karat gold
x = 66.6666... grams 18 karat gold
Double-Checking the answer
133.3333... * .5 = 66.6666...
66.6666 * .75 = 50.0000...
Concentration of final solution = (66.6666... + 50) / 200 = 58.3333...% which is 14 karat gold
Answer:
Step-by-step explanation:
x+y>0, x>0, when y=0
x+y<-5 x<-5 when y=0
since the sign is only< then it is dotted line, and since one is greater and is less than they actually do not intersect
Answer:
A=(V-U)/T
IS THE ANSWER ON E2020 JUST FINISHED
Step-by-step explanation:
Perimeter is adding the 3 sides together. Since both triangles have the same perimeter set both triangles to equal:
(x+3 + x+3 + x+3) = (x+3 + 2x-3 + x)
Simplify each side:
3x+9 = 4x
Subtract 3x from each side:
x=9