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Paraphin [41]
3 years ago
12

From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea

Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

Answer:

  • Lighthouse= 160 ft
  • Theta= 24
  • We want to find the length so we will do
  1. tan(24)= 160/x
  2. x= 359 feet
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What is the quotient of 9−x^2 divided by 3x and x^2+6x+9 divided by 3x?
Naddik [55]

Answer:

44 rem

Step-by-step explanation:

Sorry i dont have an explanation

5 0
3 years ago
(09.02)
dmitriy555 [2]
X^2 - 7x + 12 = 0
x^2 - 4x - 3x + 12 = 0
x (x - 4) -3 ( x - 4) = 0
(x - 4) (x - 3) = 0
x = 3 , 4

Check the answer by plugging in 3 and 4 for x, if the equation equals zero then you have your answer.
4 0
3 years ago
What is the value of x in the equation below?
sveta [45]

Answer: C

Step-by-step explanation:

1+2e^x+1=9

2e^x+1=9-1

e^x+1= 8/2

e^x+1 = 4

Here we can applicate the Ln:

ln e^x+1 = ln 4

Applicating the log property for exponent:

(x+1).ln e = ln 4

Ln e = 1, so:

x+1 = ln 4

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7 0
3 years ago
Find the two correct values of x in the equation 3x² = y when y = 75.​
valentina_108 [34]

Answer:

5 and -5

Step-by-step explanation:

3x² = 75

x² = 75/3

x² = √25

x = 5 and - 5

3 0
2 years ago
Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t
stira [4]

Answer:

Option A -  The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function d(t)=81t

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

d(t)=81t

d(t)=81(1)=81

Distance traveled by Train B in 1 hour is

d(t)=81t

d(t)=81(1)=81

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.


8 0
3 years ago
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