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Readme [11.4K]
3 years ago
9

Solve the following Trig equation 3 tan(x)-7=15

Mathematics
1 answer:
Kazeer [188]3 years ago
7 0
69.4429 ............
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A freshly prepared sample of curium-243 undergoes 3312 disintegrations per second. after 6.00 yr, the activity of the sample dec
Lerok [7]

I took the liberty of finding for the complete question. And here I believe that the problem asks for the half life of Curium. Assuming that the radioactive decay of Curium is of 1st order, therefore the rate equation is in the form of:

A = Ao e^(-kt)

where,

A = amount after t years = 2755

Ao = initial amount = 3312

k = rate constant

t = number of years passed = 6

 

Therefore the rate constant is:

2755/3312 = e^(-6k)

-6k = ln (2755/3312)

k = 0.0307/yr

 

The half life, t’, can be calculated using the formula:

t’ = ln 2 / k

Substituting the value of k:

t’ = ln 2 / 0.0307

t’ = 22.586 years

or

t’ = 22.6 years

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What is the range of <br><br> HURRY!
Sedaia [141]

Answer:

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What’s the x-intercept of the graph of <br> 5x-4y= 20
viva [34]

The x-intercept of the graph is (4 , 0)

Step-by-step explanation:

Let us revise the meaning of x-intercept and y-intercept

  • x-intercept means value x when y = 0
  • That means the graph intersects x-axis at point (a , 0), where a the value of x when y = 0
  • y-intercept means value of y when x = 0
  • That means the graph intersects y-axis at point (0 , b), where b is the value of y when x = 0

∵ 5x - 4y = 20 is the equation of the graph

- To find x-intercept substitute y by 0

∵ y = 0

∴ 5x - 4(0) = 20

∴ 5x - 0 = 20

∴ 5x = 20

- Divide both sides by 5

∴ x = 4

The x-intercept of the graph is (4 , 0)

Learn more:

You can learn more about x and y intercepts in brainly.com/question/4932386

#LearnwithBrainly

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3 years ago
Use the rules of long division to divide 262 by 9
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It’s 29.1111 keeps going
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3 years ago
Determine the number of possible solutions for a triangle with B=37 degrees, a=32, b=27
vladimir1956 [14]

Answer:

Two possible solutions

Step-by-step explanation:

we know that

Applying the law of sines

\frac{a}{sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}

we have

a=32\ units

b=27\ units

B=37\°

step 1

Find the measure of angle A

\frac{a}{sin(A)}=\frac{b}{Sin(B)}

substitute the values

\frac{32}{sin(A)}=\frac{27}{Sin(37\°)}

sin(A)=(32)Sin(37\°)/27=0.71326

A=arcsin(0.71326)=45.5\°

The measure of angle A could have two measures

the first measure-------> A=45.5\°

the second measure -----> A=180\°-45.5\°=134.5\°

step 2

Find the first measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to  180\°

A+B+C=180\°

substitute the values

A=45.5\°

B=37\°

45.5\°+37\°+C=180\°

C=180\°-(45.5\°+37\°)=97.5\°

step 3

Find the first length of side c

\frac{a}{sin(A)}=\frac{c}{Sin(C)}

substitute the values

\frac{32}{sin(37\°)}=\frac{c}{Sin(97.5\°)}

c=Sin(97.5\°)\frac{32}{sin(37\°)}=52.7\ units

therefore

the measures for the first solution of the triangle are

A=45.5\° , a=32\ units

B=37\° , b=27\ units

C=97.5\° , b=52.7\ units

step 4    

Find the second measure of angle C with the second measure of angle A

Remember that the sum of the internal angles of a triangle must be equal to  180\°

A+B+C=180\°

substitute the values

A=134.5\°

B=37\°

134.5\°+37\°+C=180\°

C=180\°-(134.5\°+37\°)=8.5\°

step 5

Find the second length of side c

\frac{a}{sin(A)}=\frac{c}{Sin(C)}

substitute the values

\frac{32}{sin(37\°)}=\frac{c}{Sin(8.5\°)}

c=Sin(8.5\°)\frac{32}{sin(37\°)}=7.9\ units

therefore

the measures for the second solution of the triangle are

A=45.5\° , a=32\ units

B=37\° , b=27\ units

C=8.5\° , b=7.9\ units

6 0
3 years ago
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