What kind of angles are formed if you divide a right angle in half

Mathematics

2 answers:

Bingel [31]2 years ago

3 0

Acute angles are formed

aleksandr82 [10.1K]2 years ago

3 0

Complementary angles. These are angles less than 90 degrees, and add up to 90 degrees. However, if you want to get technical, they are 45 degrees each

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Red bricks and grey bricks were used to build a decorative wall. The number of red bricks divided by number of grey bricks was 5

azamat

Red bricks : Grey bricks
5 : 2

Total parts = 5 + 2 = 7

7 parts = 224
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Find 1 part:
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1 part = 234 ÷ 7
1 part = 32

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Find 5 parts:
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5 parts = 32 x 5
5 parts = 160

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Answer: 160 Red bricks
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5 0

3 years ago

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled by the function C(t)=8(e

Alexxx [7]

Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 $\mu g/mL$ at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in $\mu g/mL$

$C(t) = 8(e^{(-0.4t)}-e^{(-0.6t)})$

Thus, we are given the time interval [0,12] for t.

We can apply the first derivative test, to know the absolute maximum value because we have a closed interval for t.
The first derivative test focusing on a particular point. If the function switches or changes from increasing to decreasing at the point, then the function will achieve a highest value at that point.

First, we differentiate C(t) with respect to t, to get,

$\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})$

Equating the first derivative to zero, we get,

$\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0$

Solving, we get,

$8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2$