S= (pi times r times l) + (pi times radius squared)
Factor out the pi times r
S= (pi times r) l + r
Divide
S/(pi times r)= l + r
Find common denominator and subtract
(S- pi times r)/(pi times r) = l
The answer therefore is A
Answer:
The correct answer is option B. 8,16, 20
Step-by-step explanation:
Its given that,ΔJKL ~ ΔPQR, with a scale factor of 3 : 4
The sides of ΔJKL are, 6,12,15
Let 'x', 'y', and 'z' be the sides of ΔPQR
We know that if two triangles are similar, then the ratio of corresponding sides are in same raio.
<u>To find x</u>
6/x = 3/4
x = 8
<u>To find y</u>
12/y = 3/4
y = 16
<u>To find z</u>
15/z = 3/4
z = 20
Therefore the sides of ΔPQR are 8,16 and 20
Option B. 8,16,20 is the correct answer
Answer:
Step-by-step explanation:
hello :
x2 plus y2-6x plus 2y equals 6 means :
x²+y²-6x+2y =6
(x²-6x)+(y²+2y)=6
(x²-6x+9 -9 )+(y²+2y+1-1) = 6
(x-3)²-9 +(y+1)²-1 = 6
(x-3)²+(y+1)² = 4²
standard form when the center is : (3;-1) and length of the radius is :4
Answer:
The correct answer is the base price is $14.50 and surcharge is $2.45 per pound.
Step-by-step explanation:
United Express charges a base price on packages weighing less than or equal to 1 pound and a surcharge for additional pounds.
Let the base price be $b and surcharge be $s.
For a 4 pound package, the customer is billed $21.85. Therefore the equation of his billing looks like b + 3s = 21.85.
For a 19 pound package, the customer is billed $58.60. Therefore the equation of his billing looks like b + 18s = 58.60.
Subtracting both the equation from each other we get 15s = 36.75
⇒ s = $2.45 and b = $14.50.
Thus the base price is $14.50.
