Answer:
18.05 g
Step-by-step explanation:
The multiplier of the initial quantity is ...
(1/2)^(t/1690)
so, for t=250, this becomes ...
(1/2)^(250/1690) ≈ 0.902545
Then the quantity remaining of the initial 20 g is ...
(20 g)(0.902545) ≈ 18.05 g
Answer:
Below
Step-by-step explanation:
The length of this triangle is 3x+1 and the width is x.
The perimeter P is:
P= 2(3x+1)+2*x
P= 6x+2+2x
P= 8x+2
Let's evaluate it when x=1/2
●1/2 =0.5
P= 8*0.5+2 =4+2= 6 ft
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The area A is:
A = (3x+1)*x
A= 3x^2 +x
Let's evaluate it when x=0.5 feet
A= 3*0.5^2 +0.5
A= 3*0.25+0.5
A= 0.75 +0.5
A= 1.25 ft^2
The formula for the area of a triangle is (1/2)bh = A
when we plug in the numbers, we get (1/2)(3x-1)x = A
using the distributive property we get (1.5x - .5)x = A
Then its 1.5x^2 - .5x = A
then if we factor out 0.5x we get 0.5x(3x-1) = A
then with the zero product property, 0.5x can equal 0 and x would need to equal 0.
if 3x-1 = 0 , then 3x = 1 then x = 1/3. so our answer would be 1/3 I'm pretty sure because a length cannot be 0
When y = 2, x = 8.
This can be written as: 2/8.
Simplified: 1/4
True
Solution
Step 1
Write an expression for the area of sector

Where
θ = 52°
π = 3.14
r = 8cm
Step 2
Find the area of the sector after substitution of values into the formula above.

To the nearest tenth the area of the shaded sector of circle C = 29.0cm²