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HACTEHA [7]
3 years ago
9

An operator at the top of a lighthouse sights a sailboat. The point from which the sighting is made is 25 m above sea level. The

angle of depression of the sighting is 10 degrees. How far is the boat from the base of the lighthouse?
Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Answer:

141.78 m

Step-by-step explanation:

Let d = distance of boat from the base of the lighthouse

Tan 10 = 25/d

d tan 10 = 25

d = 25/tan 10

d = 141.78 m

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Please help me please do!! I have limited time!! I will brainlist, 5 stars, thanks, ANYTHING to get an answer, even if it is inc
Thepotemich [5.8K]

Answer: 1. 4, 2. 2,

Step-by-step explanation: The small tire would make about 4 rotation, the big tire wold make about 2 rotations

Hope this helps :)

4 0
3 years ago
A sequence consists of the positive odd integers. What is the sum of the first 12 terms of the sequence?
Volgvan

Answer:

A

Step-by-step explanation:

The sequence of positive odd numbers is

1, 3, 5, 7, ......

This is an arithmetic sequence with common difference d

d = 3 - 1 = 5 - 3 = 7 - 5 = 2

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[2a + (n - 1)d ]

where a is the first term

here a = 1, d = 2, n = 12, hence

S_{12} = \frac{12}{2}[1 + (11 × 2) ]

                         = 6 [ 2 + (11 × 2) ]

                        = 6 × 24 = 144 → A

7 0
3 years ago
Read 2 more answers
The miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean of 33.8 mpg and a standard d
EleoNora [17]

Answer:

The probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

Step-by-step explanation:

Let the random variable <em>X</em> represent the miles-per-gallon rating of passenger cars.

It is provided that X\sim N(\mu=33.8,\ \sigma^{2}=3.5^{2}).

Compute the probability that a randomly selected passenger car gets more than 37.3 mpg as follows:

P(X>37.3)=P(\frac{X-\mu}{\sigma}>\frac{37.3-33.8}{3.5})

                   =P(Z>1)\\\\=1-P(Z

Thus, the probability that a randomly selected passenger car gets more than 37.3 mpg is 0.1587.

7 0
3 years ago
Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the
Georgia [21]

Answer: The answers are

(i) The slope of segments DE and AC is not 0.

(ii) The coordinates of D and E were found using the Midpoint Formula.

Step-by-step explanation:  We can easily see in the proof  that the co-ordinates of D and E were found using the mid-point formula, not distance between two points formula. So, this is the first flaw in the Gina's proof.

Also, we see that the slope of line DE and AC, both are same, not equal to 0 but is equal to

\dfrac{y_2}{x_2},

which is 0 only if y_2=0.

So, this is the second mistake.

Thus, the statements that corrects the flaw in Gina's proof are

(i) The slope of segments DE and AC is not 0.

(ii) The coordinates of D and E were found using the Midpoint Formula.

3 0
3 years ago
Read 2 more answers
3. After completing a statistical analysis of a survey of 40 students, the principal
Serhud [2]

Answer:

Option A

Step-by-step explanation:

A type I error is committed when a researcher rejects the null hypothesis when it is actually true.

The null hypothesis is: U <= 50%

The alternative is: U > 50%

Thus, the principal could have committed an error by rejecting null hypothesis and concluding that more than 50% of students want earlier lunch, when in actuality 50% or less want earlier lunch.

5 0
3 years ago
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