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Ierofanga [76]
3 years ago
13

Write the expression as a single natural logarithm. 5 In 3

Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Answer:

5ln3=ln(3^5)

Step-by-step explanation:

Given: 5ln(3)

Use rule: alog(b)=log(b^a), aln(b)=ln(b^a) (doesn't matter what the log base is)

Apply rule: ln(3^5)

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An isosceles triangle has slant height s and angle t opposite the base. Find a formula for the base length b in terms of the ang
Mars2501 [29]

OK, let's try with no figure.  We have an isosceles triangle sides s,s, and b.

Opposite b is angle t.

Draw the altitude h to bisect t.  We have two right triangles, legs b/2 and h, hypotenuse s.  The angle opposite b/2 is t/2 so

sin(t/2) = (b/2)/s = b/2s

So we arrived at the first part,

b = 2s sin(t/2)

The area of a triangle with sides s,s and included angle t is

A = (1/2) s² sin t

7 0
3 years ago
Solve the equation<br> 3x/ 8 - 4x/3 =4
Virty [35]

Answer:

x = -96/23

Step-by-step explanation

\frac{3x}{8} - \frac{4x}{3} = 4

multiply each side of equation by 24 to eliminate denominators

(24) \frac{3x}{8} - \frac{4x}{3} = 4 (24)

3(3x) - 8(4x) = 96

9x - 32x = 96

-23x = 96

x = -96/23

6 0
3 years ago
What is radical 64/8 simplified
Luda [366]
The answer is 8, because 64÷8= 8!simple
4 0
3 years ago
Read 2 more answers
X= ?? geometry ??? And how ????
steposvetlana [31]

Using the equations for tangent and secant lines:

Let the unknown length of the line inside the circle = y

6^2 = 3 x (y+3)

Simplify:

36 = 3y+9

Subtract 9 from both sides:

27 =3y

Divide both sides by 3:

Y = 9

Now add to get x:

X = 9 + 3 = 12

X = 12

8 0
3 years ago
What is the mean of this data set? 17,34,19,27,30,23
Morgarella [4.7K]

Answer: The mean of the data set is 25.

Step-by-step explanation:

To calculate the mean of a data set, first add up all the values.

17 + 34 + 19 + 27 + 30 + 23 = 150

Then divide the sum by the amount of values in the data set. Our sum here is 150 and the amount of data values is 6.

150 ÷ 6 = 25

8 0
3 years ago
Read 2 more answers
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