Answer:
b = 9 ft
Step-by-step explanation:
Pythagorean Theorem:
a^2 + b ^2 = c^2
Given:
a = 12
b = ?
c = 15
Plug in values:
12^2 + b^2 = 12^2
Solve for b^2:
b^2 = 15^2 - 12^2
b^2 = 225 - 144
b^2 = 81
Take square root of both sides to find b:
sqrt(b^2) = sqrt(81)
b = 9
Hope this helps! :)
For any triangle, the 2 shortest sides added together have to be longer than the longest sides.
short side (10) + short side (5) needs to be greater than (>) longest side (20)
10 + 5 > 20
15 > 20
This inequality is incorrect, so the lengths cannot make a triangle.
Hope this helps :)
X subtracted from y means y-x
(4x^2-4x+3)-(2x^2-6x-4)
4x^2-4x+3-2x^2+6x+4
4x^2-2x^2-4x+6x+3+4=
2x^2+2x+7
Answer:
Top row 2nd one
Step-by-step explanation:
Distrube out .5 first and the equation will be .5x+2
Then add 3 to both sides and you get y=.5x+5
Answer: The larger rug is 4 times larger
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
The small circular rug covers an area of approximately 67 square feet. This means that
67 = πr²
r² = 67/π = 67/3.14 = 21.34
r = √21.34 = 4.62
If a large size rug has twice the dimensions of a small rug, it means that the radius of the larger rug would be
2 × 4.62 = 9.24
The area of the larger rug would be
3.14 × 9.24² = 268.06ft²
Therefore
268.06/67 = 4
The larger rug is 4 times larger
