Round 14.5621 to the nearest hundredth. Do not include extra zeros in your answer.

Trigonometry:

Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

A = 0.05 radians,
BC = height of building and
AB = 2 km = 2000 m

<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

r = radius and
Ф = angle in radians

<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

L = BC,
r = AB and
Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

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7 0

2 years ago

In the United States, 40% of the population have brown eyes (based on data from Dr. P. Sorita Soni at Indiana University). If 14

Sav [38]

Answer:

0.0006087 (4 sf)

Step-by-step explanation:

Binomial distribution: X ~ B(n, p)

where n is the number of trials and p is the probability of success

Let the random variable X be the number of people with brown eyes

n = 14

p = 40% = 0.4

Therefore, X ~ B(14, 0.4)

P(X ≥ 12) = 1 - P(X ≤ 11)

= 1 - 0.9993913226...

= 0.000608677...

4 0

1 year ago

If you add 12 marshmallows to each of 5 bags of marshmallows, and each bag started with the same number of marshmallows, the tot

ss7ja [257]

The answer is a
because you would add 12 to x x being the bag

5 0

3 years ago

A study was done on girls' participation in informal science, technology, engineering, and mathematics (STEM) programs. The

Anastasy [175]

Answer:

Urban area = 58.27%

Suburban area = 34.83%

Rural area = 6.9%

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Total number of women = 290

Number of women in urban area = 169

Suburban area women = 101

Rural are women = 20

So, we can calculate the percentage of number of women from each area by using following formula,

Percentage = Women in specific area ÷ total women

So, percentage of Urban area = 169 ÷ 290 = 0.5827 or 58.27%

percentage of suburban area = 101 ÷ 290 = 0.3483 or 34.83%

percentage of rural area = 20 ÷ 290 = 0.0690 or 6.9%

Pie chart for the given information is attached below.

5 0

2 years ago

The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3 4 inches apart on a map, how many miles apar

Delicious77 [7]

Answer:

Step-by-step explanation:

2340 miles

Given

1 inch represents 10 miles

thus,

1 inch on map = 10 miles in real

given the two cities are 234 inches apart on map

1 inch on map = 10 miles in real

multiplying both side by 234

1 inch*234 on map = 10 miles*234 in real

234 inch on map = 2340 miles in real.

Thus, two cities are 2340 miles apart.

3 0

3 years ago

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