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kompoz [17]
3 years ago
11

There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 se

ts of random numbers from 1 to 4. The number 3 represents Dane's making a three-point shot. Look at the table.​
Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0

Answer:

there is no table.  Sorry!

Step-by-step explanation:

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Find the exact value of cot(15degrees) using half angle formulas?
liubo4ka [24]

Double angle (or half angle, depending how you look at it) identities:

\cos^2\dfrac x2=\dfrac{1+\cos x}2

\sin^2\dfrac x2=\dfrac{1-\cos x}2

\implies\cot^2\dfrac x2=\dfrac{\cos^2\frac x2}{\sin^2\frac x2}=\dfrac{1+\cos x}{1-\cos x}

So we have

\cot^215^\circ=\dfrac{1+\cos30^\circ}{1-\cos30^\circ}=\dfrac{1+\frac{\sqrt3}2}{1-\frac{\sqrt3}2}

\implies\cot^215^\circ=7+4\sqrt3

\implies\cot15^\circ=\sqrt{7+4\sqrt3}=2+\sqrt3

Note that when taking the square root, we should take into account that that could yield two possible solutions, but we know \cos15^\circ>0 and \sin15^\circ>0, so it's also the case that \cot15^\circ>0.

Also, the reason we have equality in the last step can be explained like so:

7+4\sqrt3=4+4\sqrt3+3=4+4\sqrt3+(\sqrt3)^2=(2+\sqrt3)^2

(not unlike the process used to complete the square)

8 0
4 years ago
Read 2 more answers
What is the value of the tangent of
kiruha [24]

Answer:

Step-by-step explanation:

With reference < H

perpendicular (p) = 12

base (b) = 5

so now

tangent of < H

= p / b

= 12 / 5

hope it helps :)

7 0
3 years ago
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​ This table shows the times, in minutes, it took 40 sixth-grade students to run 1 mile.
AveGali [126]
Look up how to make a histogram and put all the numbers 10 and 12 or whatever
5 0
3 years ago
What is the area of this trapezoid?
Pie

Area of a Trapezoid, A = [(a+b)/2] · h

Where,

a and b are the respective bases of the trapezoid

h is the height of the trapezoid

 

a = 10

b = 7 + 10 + 10 = 24

h = 9

 

A = [(a+b)/2] · h

A = [(10 + 24)/2] · 9

A = [(34)/2] * 9

A = 17 * 9

A = 153 Units² 

6 0
4 years ago
Read 2 more answers
Last year, the student population at Sunshine Middle School was 876 students. This year it is 891 students. What percentage did
joja [24]
Step 1 : Find the difference [ 891 - 876 = 15 ]

Step 2 : Determine the percentage

Answer: 15% from last year

:)
6 0
2 years ago
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