What is the simplest form of the radical expressio √48x^4y^3? Assume x and y are positive.
1 answer:
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Answer:
127 inches
Step-by-step explanation:
A single yard is equal to 3 feet. So one yard 1 foot and 9 inches is:
and 9 inches.
each feet has 12 inches, so it goes something like this:
inches
multiply it out:
Thats the total number of inches, now we divide by 3 (use long division:
Hope this helps!
Answer:
∠ p ≈ 59°
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABD to find DB
DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )
DB =
---------------------------------------
Using the cosine ratio in right triangle DBC
cos p = =
=
, thus
p = (
) ≈ 59°
Hi there!
Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.
Rectangles:
A = l × w
A = 2.75 × 4 = 11 in²
Solve for the other rectangle's length by subtracting from the total:
12 - 2 - 3 - 4 = 3
A = 3 × 3 = 9 in²
Total rectangle area: 11 + 9 = 20 in²
Trapezoid:
A = 1/2(b1 + b2)h
A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²
Triangle:
A = 1/2(bh)
A = 1/2(2.5 · 2) = 2.5 in²
Add up all of the areas:
20 + 10.5 + 2.5 = 33 in²