Count the units between the points
Because bases are different.
a^n · a^m = a^(n+m)
Answer:
∠a = 45°
Step-by-step explanation:
We are told that △abc and △xyz are congruent.
Thus;
∠a = ∠x
∠b = ∠y
∠c = ∠z
We are given;
∠y = 90°
Thus, ∠b = 90°
Now,we are told that ∠a is one half the size of ∠b.
Thus; ∠a = ½ × ∠b
∠a = ½ × 90
∠a = 45°
Answer:
$1,216
Step-by-step explanation:
Costs for Handsome Homes fabric
Area (sq. ft.) Cost (dollars)
(x) (y)
250 475
500 950
750 1,420
1000 1,900
If you divide any y-value by its corresponding x-value, the quotient will be 1.9
This means that each square foot costs $1.90 at Handsome Homes
Discount Diggers = 20% per sq. ft. less than Handsome homes
Discount Diggers = $1.90 - 20%
Discount Diggers = $1.90(100 - 20%)
Discount Diggers = $1.90(0.8)
Discount Diggers = $1.52
Now that it is known how much 1 square foot of fabric costs at Discount Diggers, we need to find how much 800 square feet of fabric costs.
$1.52 = 1 sq. ft.
$1.52(800) = 800 sq. ft.
$1,216
800 square feet of landscape fabric at Discount Diggers costs $1,216
Hope this helps :)
Answer:
Required largest volume is 0.407114 unit.
Step-by-step explanation:
Given surface area of a right circular cone of radious r and height h is,
and volume,

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,
subject to,

We know for maximum volume
. So let
be the Lagranges multipliers be such that,



And,



Substitute (3) in (2) we get,



Substitute this value in (1) we get,



Then,

Hence largest volume,
