Answer:
546
Step-by-step explanation:
Answer:
Cost of slate path using π: $980.18 (nearest cent)
Cost of slate path using π = 3.14: $979.68
Step-by-step explanation:
<u>Formula</u>
Area of a circle = πr² (where r is the radius)
First, calculate the area of the slate path by subtracting the area of the pond from the area of the larger circle.
Area of larger circle = π · 8² = 64π ft²
Area of pond (smaller circle) = π · 4² = 16π ft²
⇒ area of slate path = 64π - 16π = 48π ft²
If the cost of the slate is $6.50 per ft² then,
Cost of slate path using π:
⇒ 48π × $6.50 = $980.18 (nearest cent)
Cost of slate path using π = 3.14:
⇒ 48 × 3.14 × $6.50 = $979.68
Answer:
Step-by-step explanation:
(x + 1) (x + 2)
x2 + 2x + x + 2
x2 + 3x + 2
Answer: probability sampling
Step-by-step explanation:
Probability sampling is used as a sampling method in which the researcher chooses samples from a large population using a method which is based on the theory of probability. For an item to be qualify as a probability sample, that item must be selected using a random selection. An example is the selection of 2 girls from a group of 20 students where 12 are girls and 8 are boys.
Answer:
<h3>The value of

is

</h3><h3>The value of

is

</h3><h3>The partial derivative at s=-5 and t=10 is

is

</h3><h3>The partial derivative at s=-5 and t=10 is

</h3>
Step-by-step explanation:
Given that the Function point are 
,
and s = -5, t = 10
<h3>To find

and

using the appropriate Chain Rule :
</h3>
Substitute the values of x and y in the above equation we get


<h3>Now partially differentiating w with respect to s by using chain rule we have
</h3>



<h3>Therefore the value of

is

</h3>

<h3>Now partially differentiating w with respect to t by using chain rule we have
</h3>


<h3>Therefore the value of

is

</h3>
Now put s-5 and t=10 to evaluate each partial derivative at the given values of s and t :





<h3>Therefore the partial derivative at s=-5 and t=10 is

is

</h3>






<h3>Therefore the partial derivative at s=-5 and t=10 is

</h3>