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The bullet has been fired at an angle of 69.5° to the horizon. This is a problem based on the application of trigonometry.

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles.

Given that

Distance between the building and the man = 146 ft.

Height of the man = 5.9 ft.

Height of the building = 385 ft.

So,

Total height = Height of the man + Height of the building

                    = 5.9 ft. + 385 ft.

                    = 390.9 ft.

Let the angle to the horizon would the bullet have been fired be x°.

[tex]tanx^o = \frac{390.9}{146}\\tanx^o = 2.677\\x = tan^{-1}(2.677)\\x = 69.5[/tex]

Thus, the bullet has been at an angle of 69.5°.

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Before finding the probabilities, we need to find all possible outcomes, and it's probabilities.

Doing this, we get:

The probability that a randomly selected pigeon gets an incorrect result is 0.0103 = 1.03%.

Possible outcomes:

Pigeon has the virus(1.5% probability) and gets an accurate test, showing the presence of the virus(97% probability).

Pigeon has the virus(1.5% probability) and gets an inaccurate test, not showing the presence of the virus(100% - 97% = 3% probability).

Pigeon does not have the virus(100 - 1.5 = 98.5% probability) and gets an accurate test, not showing the presence of the virus(99% probability).

Pigeon does not have the virus(98.5% probability) and gets an innacurate test, showing the virus(100 - 99 = 1% probability).

Probability of incorrect result:

Has the virus and test negative: 0.03 of 0.015

Does not have the virus and test positive: 0.01 of 0.985

Thus:

[tex]p = 0.03\times0.015 + 0.01\times0.985 = 0.0103[/tex]

The probability that a randomly selected pigeon gets an incorrect result is 0.0103 = 1.03%.

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Answer:

3612 m^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter=4y+4y+y+y

25=10y

We divide both sides with 10 => y=2,5

9514 1404 393

Answer:

Step-by-step explanation:

The perimeter is the sum of the side length. Each of the sides shown has the same length as its opposite, so the perimeter is ...

  P = 2(4y +y) = 10y

Using the given value for perimeter, we find y to be ...

  25 ft = 10y

  2.5 ft = y

__

Then the longer side is ...

  4y = 4(2.5 ft) = 10 ft . . . . length of longer side

Answer:C) 9/12

Step-by-step explanation:

Answer:

1 is 21 i think

and 2 is 56 i think

Step-by-step explanation:

giimme brainly if right

Answer:

x = -30

Step-by-step explanation:

I'm assuming you want us to find the value of x, so:

–3/5x + 5 + x = –7

Subtract 5 from both sides

-3/5x + x = -12

multiply by -1

3/5x - x = 12

add like terms:

-2/5x = 12

multiply by -2.5

x = -30

Answer:

The ratio of BF to FC is proportional to the ratio of GB to AG. Similarly, the ratio of IC to BI is proportional to the ratio of HC to AH.

Step-by-step explanation:

PLATO ANSWER

Answer:

a. 40 ft²

b. 21 ft²

c. 61 ft²

Step-by-step explanation:

Rectangle area formula: l * w

Triangle area formula: 1/2(bh)

10 * 4

40 ft² for the rectangle

1/2(7 * 6)

1/2(42)

21 ft² for the triangle

40 + 21

61 ft² in total (both the rectangle & the triangle)

Answer:

Colton solved 9 math problems and read 18 pages.

Answer:36

Step-by-step explanation:15+5+16=36

Answer:

No, it's not.

Step-by-step explanation:

A right triangle has to have its edges have 90 degrees, and the triangle that they showed does not have that.

Answer:

Sorry

Step-by-step explanation:

Sorry

Answer:360

Step-by-step explanation:

Answer:

it is 360 degrees

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

c

Answer:

52+78+x=180

130+x=180

X=180-130

X=50°

Answer:

i hope u can round other wise its this 4   3649237 / 10000000

Step-by-step explanation:

the dash is the fraction symbol

Answer:

part a:

x lengths = 6

unit lengths = 2

part b:

6x+2

Step-by-step explanation:

You add the like terms, in this case, there are 6 x, so we have 6x, and two 1s, so 1+1= 2, and since 6x and 2 are not like terms, we can't add them, making our answer 6x+2

Answer:

Im past this subject, so this is what I remember. There are six x lengths, and I believe there are 2 NOT 8 unit lengths. For B the answer is 6x+2. Dont worry about the Brainly.

Step-by-step explanation:

Answer:

x = 652.7

Step-by-step explanation:

x = (tan 40° x 500) + (tan 25° x 500) = 419.55 + 233.15 = 652.7

Answer:

the triangle formed from the coords is 3cm by 9cm so try 3 × 9 = 27 then 27 ÷ 2 = 13.5 from the formula a = ½bh?

Step-by-step explanation:

The area of the triangle is equal to 25√2 square units.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that a right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6).

The area will be calculated as,

Side = √ [ ( -3 + 2 )² + ( -2 - 5 )² ]

Side = √ ( 1 + 49)

Side = √50

Base = √ [ ( 6 + 3 )² + ( -1-2)² )

Base = √ ( 81 + 9 )

Base = √100

The area will be calculated as,

Area = (1/2) x B x H

Area = (1/2) x √50 x √100

Area = (1/2) x √50 x 10

Area = 5 x √( 25 x 2 )

Area = 25√2 square units

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Answer:

15.83

Step-by-step explanation:

13.11 / 100 = 0.1311

0.1311*5=5%=0.6555

13.11+0.6555=13.7655

13.7655/100=0.137655 * 15 -->15%=2.064528

13.7655+2.064528=15.830325

Answer:

ya the 15 sth like that I think

Answer:

y=40

I hope it's helps you

Answer:

Five

Step-by-step explanation:

it is a triangular prism so five sides

Give me Brainllest

Answer:

x = 72

Step-by-step explanation:

∠DBC is an included angle and arc DB is its corresponding arc

Relationship between an included angle and its corresponding arc:  an included angle is equal to one half of its corresponding arc

so

∠DBC = [tex]\frac{1}{2}[/tex] arc DB

we are given that arc DB = 144

so we exchange arc db with 144

∠DBC = [tex]\frac{1}{2} 144[/tex]

[tex]\frac{1}{2} 144=72[/tex]

so we can conclude that ∠DBC (x) = 72

Answer:

62.4 cm³

Step-by-step explanation:

Hope this helps :)

Answer:

4 2/3 is the answer

Step-by-step explanation:

4 2/3 is the answer

Answer:

[tex]4\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

30 is correct answer. ... ...........

Answer:

x = √76

Step-by-step explanation:

in upper triangle :

7² - 3² =40 so the third side of the upper triangle is : √40

in the biggest triangle :

(3+3)² + 40 = 76 so the another side of the biggest triangle is : √76