Answer:
The length of Due to the accuracy of the tape measure Avani used, the play area is 7.5 meters. The width of the play area is the amount of foam needed to cover the play area is 5.3 meters.
Step-by-step explanation:
Answer:
fourth option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 3)² + (y - 7)² = 2 ← is in standard form
with centre = (h, k) = (3, 7) and r² = 2 ⇒ r = 
Answer: The Smith family price for the meal is $36.39
Step-by-step explanation:
The Smith family went out to dinner. • The price of the meal was $29.85.
The sales tax was 6% of the price of the meal.
LEts find sales tax amount
sales tax amount = price of meal * sales tax 6%(0.06)
= 29.85 * 0.06 = 1.791
sales tax amount = 1.791
Price of the mean with sales tax = 29.85 + 1.791= 31.641
The tip was 15% of the meal and the sales tax
now we find out tip amount for 31.641
15 % is 15/ 100 = 0.15
Tip amount = 31.641 * 0.15 = 4.74615
Now we add the top amount with 31.641
31.641+ 4.74615=36.38715
the Smith family price for the meal = $36.39
The tangent to 
through (1, 1, 1) must be perpendicular to the normal vectors to the surfaces 
and 
at that point.
Let 
. Then is the level curve 
. Recall that the gradient vector is perpendicular to level curves; we have
so that the gradient of 
at (1, 1, 1) is
For the surface , we have
so that 
. We can obtain a vector normal to by taking the cross product of the partial derivatives of 
, and evaluating that product for 
:
Now take the cross product of the two normal vectors to and :
The direction of vector (24, 8, -8) is the direction of the tangent line to at (1, 1, 1). We can capture all points on the line containing this vector by scaling it by 
. Then adding (1, 1, 1) shifts this line to the point of tangency on . So the tangent line has equation
