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satela [25.4K]
3 years ago
8

Identify the correct statement for the given figure.

Mathematics
1 answer:
sineoko [7]3 years ago
4 0

Answer:

A. 5x° + (2x + 7)° = 90°

Step-by-step explanation:

Complementary angles add up to give us 90°.

From the given diagram, we have a part of the angles on a straight line as a right angle. Which means it is 90°. Therefore, the other two angles, 5x° and (2x + 7)° will add up to give us 90°. Thus, 5x° and (2x + 7)° are complementary angles.

Therefore:

5x° + (2x + 7)° = 90°

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The concentration C (in mg/dl), of an antibiotic in a patient’s bloodstream per hour, t, is given by: c(t) = (50t)/(t^2+25) In o
NARA [144]

Answer:

Step-by-step explanation:

<u>Functions </u>

The problem describes a function that expresses the concentration of an antibiotic in mg/dl vs time in hours as:

\displaystyle c(t)=\frac{50\ t}{t^2+25}

We need to find the first value of t such that

\displaystyle c(t)\geq 4

It means that

\displaystyle \frac{50\ t}{t^2+25}\geq 4

Operating with the inequality

\displaystyle 50\ t\geq 4\ t^2+100

Rearranging and dividing by 2, we have a polynomial inequality:

\displaystyle 2t^2-25t+50\leq 0

Factoring

\displaystyle 2(t-10)\left (t-\frac{5}{2}\right )\leq 0

There are two possible values for t, both valids because they are positive

\displaystyle t=\frac{5}{2}=2.5, \ t=10

We need to find the first value, i.e.

t=2.5 \ hours

Now for the graphic method, we plot the graph for the function and a horizontal line at c=4 to find the values of t.

The graph is shown in the image provided below. We can see both values where the funcion and C=4 intersect. Both values coincide with the previously analitically found values

4 0
3 years ago
How to add and subtract radians for trig
ELEN [110]
The same way you add and subtract any pair of fractions. You need to make sure the denominators are equal. Once they are equal, you can add or subtract the numerators and place the result over the common denominators.
8 0
3 years ago
Read 2 more answers
Prove that in any pythagorean triple, one of the side lengths is divisible by 5
victus00 [196]
The trick is to realize what your choices are.

if m or n or both are divisible by 5, then 2mn will be divisible by 5
I don't know if you know about x mod(5), but in that case there can only be 4 possibilities for m and n
m mod (5) = +/- 2 or m mod(5) = +/- 1
In the first case m^2 = 4 mod(5) and in the second case m^2 = 1 mod(5) N has the same considerations. 
If m and n have the same modular results (both are [say] 2 ) then m^2 - n^2 which be 0
If they are different, then (m^2 + n^2) mod 5 = 0 

7 0
3 years ago
100 POINTS
exis [7]

Prism means two bases of equatorial triangle

So

Total area of bases

  • 2(73.2)=146.4

Total Lateral surface area

  • 3(104)
  • 312

So

TSA:-

  • 312+146.4
  • 458.4cm²

Relly made error in LSA

5 0
2 years ago
Read 2 more answers
Brainliest if correct please help
Scorpion4ik [409]

Answer:

3/10

Step-by-step explanation:

so 1/5 probability

3 is the frequency so

10 times spun

3/10 is the answer

5 0
3 years ago
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