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Neporo4naja [7]
3 years ago
14

7) A coin is tossed three times, with 'heads' or 'tails' recorded after each toss. The number of possible outcomes for this expe

riment is
Mathematics
1 answer:
makkiz [27]3 years ago
5 0
2^3 = 8 outcomes possible.
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One of the tallest buildings in a country is topped by a high antenna. The angle of elevation from the position of a surveyor on
irina1246 [14]

Answer:

a. distance of the surveyor to the base of the building = 2051.90 ft

b. height of the building = 1384 ft

c. Angle of elevation from the surveyor to the top of the antenna = 38.31°

d. Height of antenna  =  237.08 ft

Step-by-step explanation:

​The picture above is a illustration of the described event.

a = the height of the flag

b = the height of the building

c = distance of the surveyor from the base of the building

the angle of elevation from the position of the surveyor on the ground to the top of the building = 34°  

distance from her position to the top of the building  = 2475 ft

distance from her position to the top of the flag  = 2615 ft

​(a) How far away from the base of the building is the surveyor​ located?​

using the SOHCAHTOA principle

cos 34° = c/2475

c =  0.8290375726  × 2475

c = 2051.8679921

c = 2051.90 ft

(b) How tall is the​ building

The height of the building = b

sin 34° = opposite /hypotenuse

0.5591929035 = b/2475

b =  0.5591929035  × 2475

b =  1384.0024361

b =  1384.00 ft

​(c) What is the angle of elevation from the surveyor to the top of the​ antenna?

let the angle = ∅

cos ∅ = adjacent/hypotenuse

cos ∅ = 2051.90/2615

cos ∅ =  0.784665392

∅ = cos-1  0.784665392

∅ =   38.310258303

∅ =  38.31°

​(d) How tall is the​ antenna?

height of the antenna = a

sin 38.31° = opposite/hypotenuse

sin 38.31° = (a + b)/2615

sin 38.31° × 2615 = (a + b)

(a + b) =  0.6199159917  × 2615

(a + b) =  1621.0803182

(a + b) = 1621. 08 ft

Height of antenna = 1621. 08 - 1384.00  =  237.08031822 ft

Height of antenna  =  237.08 ft

8 0
3 years ago
A 26' long painting is how many yards long
yaroslaw [1]
Three feet is 1 yard. 26 feet would be 26/3=8 2/3 yards long.
6 0
2 years ago
What is the value of x?
Llana [10]
The external angle is equal to the sum of the opposite internal angles.
.. 6x +1 = (2x +10) +79
.. 4x = 88 . . . . . . . . . . . . . subtract 2x+1
.. x = 22
8 0
3 years ago
Questions are in file/pictures! <br><br> (as you can see all my questions are from math lol)
77julia77 [94]

Answer:

the first one would be 12 square feet

the second one would be 2961$

and the third one would be 125%

Step-by-step explanation:

i took the test

5 0
3 years ago
Write the direct variation function given that y varies directly with x, and y = 1.5 when x = 5.
Cloud [144]

Answer:

y=0.3x

Step-by-step explanation:

Formula = K=\frac{y}{x}

y α x

y = kx

Where k is the constant of proportionality.

When y = 1.5; x = 5;

We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

1.5/5= k0.3/5

Therefore,

K = 0.3

Having found the value of k,

We substitute this value into the relationship

y = kx

Therefore we have,

y = 0.3x.

The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]

4 0
2 years ago
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