Answer:
Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:
The area of the triangle is 1/4 of this. Therefore:
The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:
Since DE = DF:
Thus:
Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:
Therefore:
Square:
Add:
And finally, we can take the square root of both sides:
Answer:
4
Step-by-step explanation:
The number of shelves must be a factor of the number of books from each category. (Because you are using multiple shelves). You are looking for the greatest amount, so you need to greatest, common factor (GCF) from each bunch of books.
GCF of 12, 16, 32 is 4.
I believe the answer would be a.
Hope you understand the solution. Call my attention if you need any help
Answer:
Height h = 9 cm
Step-by-step explanation:
Given:
Surface area of cuboid = 102 cm²
Length l = 2 cm
Breadth b = 3 cm
Find:
Height h
Computation:
Surface area of cuboid = 2[lb + bh + hl]
102 = 2[(2)(3) + (3)(h) + (h)(2)]
51 = 6 + 3h + 2h
45 = 5h
Height h = 9 cm
