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vova2212 [387]
3 years ago
13

Jake leaned a 12-foot ladder against his house. If the Angle formed by the ladder and the ground is 68, how far from the base of

the house did he place the ladder?

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

4.50\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

cos(A)=\frac{AC}{AB} -----> the cosine is the adjacent side to angle A divided by the hypotenuse

substitute the values and solve for x

cos(68\°)=\frac{x}{12}

x=12*cos(68\°)=4.50\ ft

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Given f(x)=3(2-x)+5 what is the value of f(-5)?
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Answer:

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Step-by-step explanation:

given f(x)=3(2-x)+5 what is the value of f(-5)?

f(x)=3(2-(-5))+5            x minus a negative is a plus   2 -  -5 =  2 +5

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Sung Lee invests $4,000 at age 18. He hopes the investment will be worth $16,000 when he turns 25. If the interest compounds con
irinina [24]

Answer:

The growth rate he needs to achieve his goal is approximatelly 19.8%

Step-by-step explanation:

Since the sum will be compounded continuously we have to use the appropriate formula given below:

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Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:

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4000*e^(7*r) = 16000

e^(7*r) = 16000/4000 = 4

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r = ln(4)/7 = 0.198

The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.

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