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marta [7]
3 years ago
9

The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean

ing tower when it was originally built?

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

Upon substituting our given values we will get,

\text{Cos (4)}=\frac{55.86}{h}

h=\frac{55.86}{\text{Cos (4)}}

h=\frac{55.86}{0.99756405026}

h=55.996\approx 56                      

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

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Answer:3

Step-by-step explanation:

12/4 = 3

4 0
3 years ago
A dictionary contains the following 9 words: two, mice, three, squeaking, the, blind, deaf, birds, rabbits. What is the probabil
IgorC [24]

Answer:

<u>The correct answer is B. 1/729</u>

Step-by-step explanation:

1. Probability of any of the nine words would be randomly cited.

Using the Laplace Rule, we calculate that probability is 1/9

2. Now let's calculate the probability of any two - word phrase in specific order from those nine in the dictionary. We should remember that the probability of occurrence of two or more statistically independent events is equal to the product of their individual probabilities. So,

1/9 * 1/9 = 1/81

3. Using the same Multiplication Rule, we can calculate the probability of a random generation of the phrase "three blind mice", in that specific order. Because there are other phrases that could be generated with those three words, but in different order.  The question was specific about the order.

1/9 * 1/9 * 1/9 = 1/729

<u>The probability of randomly generating the phrase "three blind mice" is 1/729 or 0.137%</u>

7 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
andre [41]

Answer:

Option A is correct.

Step-by-step explanation:

If Δ YES ∼ Δ NOT, then it means that ΔYES and ΔNOT are similar triangles.

The similar triangles means that all the corresponding angles of the two triangles are same i.e. ∠ Y = ∠ N, ∠ E = ∠ O and ∠ S = ∠ T

Therefore, according to the property of similar triangles we can write that

\frac{NO}{YE} = \frac{OT}{ES}  = \frac{NT}{YS}.

Therefore, option A is correct.

8 0
3 years ago
1<br> Looking at the angle relationship below, what is the value of x?<br> 1<br> .<br> 45°
Andre45 [30]

Answer:

45

Step-by-step explanation:

They add up to 90, so 90 - 45 = 45 degrees

8 0
3 years ago
In a study of pain relievers, 50 people were given product A, and all but 11 experienced relief. In the same study, 100 people w
Nataly_w [17]

Answer:

Product B performed worse in the study because 86% failed to get relief with this product, whereas only 78% failed to get relief with Product A

Step-by-step explanation:

We are given the following in the question:

Product A:

Number of people,

n_1 = 50

Number of people who received relief,

x_1 = 11

Proportion of people who received relief from product A =

p_A = \dfrac{x_1}{n_1} = \dfrac{11}{50} = 0.22 = 22\%

Proportion of people who did not received relief from product A =

1 = p_A = 1 - 0.22 = 0.78 =78\%

Product B:

Number of people,

n_2 = 100

Number of people who received relief,

x_2 = 14

Proportion of people who received relief from product B =

p_B = \dfrac{x_2}{n_2} = \dfrac{14}{100} = 0.14 =14\%

Proportion of people who did not received relief from product B =

1 = p_B = 1 - 0.14 = 0.86=86\%

Product B performed worse in the study because 86% failed to get relief with this product, whereas only 78% failed to get relief with Product A

3 0
3 years ago
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