Answer:
32 cubic feet
Step-by-step explanation:
To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.
In this case we have a rectangular hole that has an area of 8 square feet.
As we said before:
Volume = Area x height.
If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:
Volume = 8 x 4 = 32 cubic feet.
Thus, the volume of John's hole is 32 cubic feet.
Answer:
The percentage increase in Jayana's postcard collection is 15%
Step-by-step explanation:
Jayana had 20 postcards last year
With 3 more postcards this year
From the given equation Quantity = Percent x Whole
Here;
Let P = Percent/100%
Quantity = Increment in postcard = 3 postcards
Whole = The total postcards from last year = 20 postcards
Hence,
3 postcards = P x 20 postcards
P = 3/20 = 0.15
Recall P = Percent/100%
∴ Percent = P x 100% = 0.15 x 100% = 15%
The percentage increase in Jayana's postcard collection is 15%
The long part will be divided into 3 and the rest of the bottom bit will make up the last section. if measurements are given, find area of property and divide by 4.
The answer to this problem is 170
Answer:
b² +12b +32 = (b+4)(b+8)
Step-by-step explanation:
The product of binomial factors (x+a) and (x+b) is ...
(x+a)(x+b) = x² +ax +bx +ab
= x² + (a+b)x + ab
That is, the coefficient of x is the sum of factors of the constant term.
In order to determine "a" and "b", you can look at the factors of 32 and see which pair has a sum that is 12.
32 = 1×32 = 2×16 = 4×8
The last factor pair has a sum that is 12, so your factorization can be
b² +12b +32 = (b+4)(b+8)
