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kondaur [170]
3 years ago
7

10 1/2 in simplest radical form

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0

Answer:

21/2

Step-by-step explanation:

10*2+1/2=21/2

use the formula

a\frac{b}{c}=\frac{a*c+b}{c}

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You look over the songs in a jukebox and determine that you like 1414 of the 5252 songs. ​(a) What is the probability that you l
enyata [817]

Answer:

Step-by-step explanation:

given that you look over the songs in a jukebox and determine that you like 14 of the 52 songs

Here each song is independent of the other song

i.e. p = Probability that you like any song =\frac{14}{52} =0.2692

q = Prob you do not like = 1-0.2692 = 0.7308

a) the probability that you like the next four songs that are​ played

=0.2692^4\\=0.00525

b) the probability that you do not like the next four songs that are​ played

=0.7308^4\\=0.2852

3 0
3 years ago
two points on the same side of a tree are 65 feet apart. the angles of elevation of the top the tree are 21 19 from one point an
zloy xaker [14]
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are  21° 19' and 16°20'.

1) Convert the angles to decimal form:

19' * 1°/60' = 0.32° => 21° 19' = 21.32°

20' * 1°/60' = 0.33° => 16° 20' = 16.33°

2) Deduce the trigonometric ratios from the verbal information.

You can form a triangle with

- horizontal leg  x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h

=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)

You can form a second triangle with:

-  horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
 
=> trigonometric ratio: tan(21.32) = h / x  => h = x * tan(21.32)

Now equal the two expressions for h:

(x+65)*tan(16.33) = x*tan(21.32)

=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet

=> h = 195.73 * tan(21.32) = 76.39 feet.

Answer: 76.39 feet
5 0
3 years ago
What is the volume olf the basketball the diameter is 9.5 round to mearest whole nu!mber<br>​
Novosadov [1.4K]

Answer:

143π in³

Step-by-step explanation:

A basketball has the shape of a sphere

Volume of a basketball = 4/3πr³

Diameter = 9.5 in

Radius = diameter/2

= 9.5/2

= 4.75 in

Volume of a basketball = 4/3πr³

= 4/3 * π * 4.75³

= 4/3 * π * 107.17

= (4*π*107.17) / 3

= 428.68π / 3

= 142.89π in³

Approximately

143π in³ to the nearest whole number

3 0
2 years ago
Given that MQL =180° and XQR = 180°, which equation could be used to solve problems involving the relationships
Ganezh [65]

Answer:

Option A is the right answer.

146-4b = 122-1b

Reason: vertical angles

8 0
2 years ago
How to convert 1,025 to expanded notation?
xxTIMURxx [149]

Answer:

1025 = 1000 x 1  + 100 x 0 + 10 x 2 + 5

Step-by-step explanation:

1025 = 1000 x 1  + 100 x 0 + 10 x 2 + 5

3 0
3 years ago
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