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Pie
3 years ago
14

A square is cut in half on the diagonal, creating two equal triangles. each triangle has an area of 0.32 square units. what is t

he side length, in units, of the original square?
Mathematics
2 answers:
spin [16.1K]3 years ago
8 0

First we need to find out the area of the square. Since 1/2 of the square( the triangle) is .32 square units, multiply .32 by 2 to find the area.

.32*2=64

Now, find the square root of .64

The square root of .64 is .8.

The side length of the original square is .8 units.

Hope this helps!

almond37 [142]3 years ago
6 0

Answer:

0.8

Step-by-step explanation:

Let's say s is the side length of the square.  When the square is cut diagonally, each triangle has a base of s and a height of s.

Area of a triangle is:

A = ½ bh

Given A = 0.32, b = s, and h = s:

0.32 = ½ (s)(s)

0.64 = s²

s = 0.8

The side length of the square is 0.8 units.

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Suppose that you take 120 mg of an antibiotic every 4 hr. The​ half-life of the drug is 4 hr​ (the time it takes for half of the
vodomira [7]

Answer:

The steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Step-by-step explanation:

Let the amount of antibiotic in one's bloodstream be given as Aₙ (where n = the number of half lives since the start of usage)

Let's follow the time line of events.

At t = 0 hr, the drug is taken

A₀ = 120 mg

At t = 4 hrs, n = 1, the drug is taken again

A₁ = (0.5×A₀) + 120

A₁ = (0.5×120) + 120 = 180 mg

At t = 8 hrs, n = 2, the drug is taken again,

A₂ = (0.5×A₁) + 120

A₂ = (0.5×180) + 120 = 210 mg

At t = 12 hrs, n = 3, the drug is taken again

A₃ = (0.5×A₂) + 120

A₃ = (0.5×210) + 120 = 225 mg

At this point, it becomes evident that at t = 4n hrs, n = n i.e. n half lives later, the general formula for the amount of the antibiotic in the bloodstream is

Aₙ = 0.5Aₙ₋₁ + 120

where Aₙ₋₁ = The amount of antibiotic in the bloodstream at the time t = 4(n-1) and (n-1) half lives later.

For infinite series, that are increasing in this order, as the value of n --> ∞,

Aₙ = Aₙ₋₁ = K

And our general formula becomes

K = 0.5K + 120

0.5K = 120

K = (120/0.5)

K = 240 mg

Hence, the steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Hope this Helps!!!

5 0
3 years ago
Find the rule ans the graph of the function whose graph can be obtained by performing the translation 4 units peft and 5 units d
s344n2d4d5 [400]
A. f(x)=ln(x+4)-5
If it shifts to the left side then in braces put a (+) sign and if it shifts to the right then in braces put a (-) sign. If it goes up it’s positive and if it goes down it’s negative
6 0
3 years ago
1.
zhuklara [117]

Answer:

C

Step-by-step explanation:

We know that the value of 1 is 4,

So, there are 2 difference,

1 is 4

2 is 6

3 is 8

4 is 10

5 is 12

So, the first five terms is 4, 6 ,8 ,10, 12.

6 0
3 years ago
2.15+2.5+3.85+. 5, What is the answer plz
lukranit [14]
2.15 + 2.5 = 2.65
2.65 + 3.85 = 6.40
If it is 0.5
6.40 + 0.5 = 0.9
If you meant 0.05
6.40 + 0.05 = 6.45
If you meant 5 (as in the whole number)
6.40 + 5 = 11.40

hope this helps 
4 0
3 years ago
Read 2 more answers
Someone plz help me I’m stuck with this one T^T
Marat540 [252]

Answer:

SID WILL FINISH FIRST

Step-by-step explanation:

\frac{2}{3} ÷ \frac{1}{6} =

\frac{2}{3} * \frac{6}{1} = = 12/3 = 4

~~~~~~~~~~~~~~~~~~~

\frac{1}{3} ÷ \frac{1}{9} =

\frac{1}{3} * \frac{9}{1} = = 9/3 = 3

5 0
2 years ago
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