Answer:
54 units squared
Step-by-step explanation:
You have to divide the shape into simpler shapes such as rectangles and triangles that you can easily find the area of. Then, add those areas together. I divided it into one rectangle and three triangles.
Rectangle 1: length=7 width=6 6(7)=42
Triangle 1: base=6 height=2 1/2(6)2=6
Triangle 2: base=3 height=2 1/2(3)2=3
Triangle 3: base=6 height=1 1/2(6)1=3
Area= R1+T1+T2+T3= 42+6+3+3= 54 units squared
Answer:
4) 0.001
Step-by-step explanation:
The amount (a) present in h hours is ...
a(h) = (initial value)×(1/2)^(h/(half-life))
6 days is 6×24 hours, so the amount remaining is ...
a(6×24) = 50×(1/2)^(6×24/9) = 50/2^16 ≈ 0.001 . . . . milligrams
Answer:
2nd option
Step-by-step explanation:
A difference of squares has the general form
a² - b²
where the terms on either side of the subtraction ( the difference ) are both perfect squares.
The only one fitting this description is
16a² - 4y²
= (4a)² - (2y)² ← difference of squares
You just divide 3/8= 0.375
Answer:
Step-by-step explanation:
So this is just playing with the pythagorean theorem
a^2 + b^2 = c^2 with a and b as legs and c as the hypotenuse.
Let's say a is equal to 1500 so then c is 4 times b
1500^2 + b^2 = (4b)^2 Now we just treat this like a normal algebraic expression
2,250,000 = 16b^2 - b^2
2,250,000 = 15b^2
150,000 = b^2
sqrt(150,000) = b
100sqrt(15) = b
You can check this now.
1500^2 + sqrt(150,000)^2 = c^2
sqrt(2,250,000 + 150,000) = c
sqrt(2,400,000) = c
400sqrt(15) = c Which fits the requirement of c = 4b
