Answer:
<h2><u><em>
20√2</em></u></h2>
Step-by-step explanation:
The diagonal of a square is given as, √2 × side. Rearranging this formula to calculate the side of the square, we get, side = diagonal/√2 = (√2 × diagonal)/2 . Thus, the perimeter of the square can be calculated using the formula, P = 2√2 × diagonal.
Diagonal = 5 * 2 = 10
P = 2√2 * 10
P = 20√2
The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
Answer:
1
Step-by-step explanation:
4(4-w) = 3(2w+2)
Use distributive property:
16 - 4w = 6w + 6
+4w +4w
------------------------
16 = 10w + 6
-6 -6
-------------------------
10 = 10w
---- -----
10 10
1 = w
Hope this helped.
Answer:
It is arithmetic
Step-by-step explanation:
Using the rule T2-T1
We see that 16-22 is -6
We can also try T3-T2
We see that 10-16 is also -6
Their is a constant common difference and that constant common difference is -6.
Hope that helps :)
Answer:
2. y = x + 16; 0.21y = 0.27x + 2.88
Step-by-step explanation:
You have two conditions:
- Volume of 18 % + volume of 27 % = volume of 21 %
- Mass of acid in 18 % + mass of acid in 27% = mass of acid in 21 %
For the first condition,
16 + x = y Transpose
(1) y = x + 16
=====
For the second condition
V₁c₁ + V₂c₂ = V₃c₃
16×0.18 + 0.27x = 0.21y
2.88 + 0.27x = 0.21y Transpose
(2) 0.21y = 0.27x + 2.88
The system of equations is y = x + 16; 0.21y = 0.27x + 2.88
