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anygoal [31]
2 years ago
9

How do you solve this using a logarithm? :)

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
8 0

Answer:

Keep the exponential expression by itself on one side of the equation.

Get the logarithms of both sides of the equation. You can use any bases for logs.

Solve for the variable. Keep the answer exact or give decimal approximations.

Step-by-step explanation:

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The main sail of a sailboat has the dimensions shown in the figure at the right. What is the height of the main sail?
levacccp [35]

Answer:

h = 16.1

Step-by-step explanation:

sin A /a = sin B / b = sin C/c   where A is angle and a is side opposite of angle

sin (49) / h = sin(41)/ 14       cross-multiply

h*sin(41) = 14 * sin(49)

h = (14*sin(49))/ sin(41)

h = 16.1

5 0
2 years ago
there are 150 more passenger cars than trucks on the highway. for every 10 passenger cars there are 7 trucks. how many trucks ar
lora16 [44]

Answer:

500

Step-by-step explanation:

Given: P = 150 - T where P is passenger cars and T is trucks

10P = 7T ⇔ P = \frac{7T}{10}

Plug in equation 2 into equation 1:

\frac{7T}{10} = 150 - T

Solving for T, we get 500

5 0
2 years ago
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Which expressions are equivalent?
vova2212 [387]
A) 3(a - b)  = 3*a +3*-b  = 3a - 3b  EQUAL

b) 2a(2 + b)  = 4a + 2ab     NOT EQUAL
3 0
3 years ago
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Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table? x
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Answer:

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7 0
2 years ago
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7 times the number of cookies in the jar plus 5 more from the tray is 54. How many cookies are in the jar?
Digiron [165]

Answer:

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

Step-by-step explanation:

<em>Consider the number of cookies in the jar as 'x'. Hence the equation formed would be:-</em>

7(x) + 5 = 54

7x + 5 = 54

7x = 54 - 5

7x = 49

x = \frac{49}{7}

x = 7

The number of cookies in the jar is 7.

If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12

<em>Hope this helps.</em>

8 0
2 years ago
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