Answer:
k = 7
Step-by-step explanation:
given y varies jointly with x and w then the equation relating them is
y = kxw ← k is the constant of variation
to find k use the condition when y = - 42, x = 2 and w = - 3 , then
- 42 = k × 2 × - 3
- 42 = - 6k ( divide both sides by - 6 )
7 = k
constant of variation is k = 7
Answer:
Step-by-step explanation:
5n+24 = -16
-24 -24
5n = -40
/5 /5
n = -8
1000 is the missing exponent
So,
First, we will find the surface area of the garden in feet.
(70)(45) = 3150 square ft.
Next, to find the surface area of the garden inches, we need to recall the conversion rate between feet and inches.
1 ft. = 12 in.
So, multiply 3150 by 12.
(3150)(12) = 37,800 square in.
To find the surface area of the garden in yards, we need to recall the conversion rate between yards and feet.
1 yd. = 3 ft.
So, divide 3150 by 3.

Area of the garden in inches: 37,800 square in.
Area of the garden in feet: 3150 square ft.
Area of the garden in yards: 1050 square yd.
For this case we have that by definition, the area of a circle is given by:

Where:
r: It is the radius of the circle
According to the data of the statement we have that the circle has a radius of 
Substituting in the formula we have:

So, the area of the circle is
feet squared
Answer:
Option D