Answer:
138.16 in²
Step-by-step explanation:
The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.
SA = B + LA
= πr² + (1/2)(2πrh) . . . . where h is the slant height
= (πr)(r +h)
Filling in the numbers, you have ...
SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²
Answer:
14.02
Step-by-step explanation:
You'd have to write equations for the price per month for each club.
Let x equal the number of months of membership, and y equal the total cost.
Club A's is y
=
24x
+
21.50 and Club B's is y
=
17.25
x
+
41.00 Because we know that the prices, y
, would be equal, we can set the two equations equal to each other.
24x
+
21.50
=17.25
x+
41.00
subtract 21.50 both sides
. We can now solve for x by isolating the variable.
24x=17.25x+19.5
divide 17.25x
1.39x=19.5
divide 1.39 both sides
x=14.02
After five months, the total cost would be the same.
Answer:
( 50, 30 )
Step-by-step explanation:
Equal distance
Answer:
$6.07/hr. if I understand the question properly. See below.
Step-by-step explanation:
I don't see the question, but will assume we want to find Larisa's base pay. The $7/hr given is the average for the work sequence noted in the problem. If this is incorrect, ignore the answer.
==================================
Let x be Larisa's base salary. We are told, I think, that in one stretch of time Larisa earned an average of $7/hour. That was composed of:
<u>Hours</u> <u>Rate($/hr)</u>
40 x
3 1.5x
<u> 6 </u> 2x
49
Her total income over this period would be:
40x +3(1.5x) + 6(2x) [The hours worked times the pay rate for each period]
Her average income per hour would be:
(40x +3(1.5x) + 6(2x))/49
which we are told is $7/hr.
(40x +3(1.5x) + 6(2x))/49 = 7
40x + 4.5x + 12x = 343
56.5x = 343
x = $6.07/hr
Answer:
5/7
Step-by-step explanation:
B
