Answer:
D. 75(5r+3d+4f) and 75(5r)+75(3d)+75(4f)
9514 1404 393
Answer:
7 in
Step-by-step explanation:
For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...
A = LW
105 = (2w +1)w
2w^2 +w -105 = 0
To factor this, we're looking for factors of -210 that have a difference of 1.
-210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)
So, the factorization is ...
(2w +15)(w -7) = 0
Solutions are values of w that make the factors zero:
w = -15/2, +7 . . . . . negative dimensions are irrelevant
The width of the rectangle is 7 inches.
Answer:
Step-by-step explanation:
The diameter of the top of the coffee mug which the baker uses to cut out circular cookies from the big sheet of cookie dough is 8 cm.
Radius of the coffee mug is diameter of the coffee mug/2.
Radius of the coffee mug
= 8/2 = 4cm
The area of the circular mug is expressed as
Area = πr^2
Where π is a constant whose value is 3.14
Therefore,
Area of the top of the circular mug = 3.14 × 4^2 = 3.14 × 16 = 50.24 cm^2
The area of the top of the circular cup is the same as the area of each cookie. Therefore,
The area of each cookie is 50.24 cm^2
Answer: Convenience sample.
Step-by-step explanation:
Convenience sample is also known as grab or accident or opportunity samples. It is a example of non probability sample that involves selecting of subjects because of the proximity, convenience and accessibility a researcher as to them. This type of samples are not reliable for data gathering when it involves a very large sample space, let's say a global audience.