Cosine, tangent, and sine (topic) how do you solve this (work shown please)

Answers

Answer 1

Answer: Sine θ = $(opposite)/(hypotenuse)$
Cosine θ = $(adjacent)/(hypotenuse)$
Tangent θ = $(opposite)/(adjacent)$

∴ $Sin x = (e)/(f)$
$Cos x = (d)/(f)$
$Tan x = (e)/(d)$

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One twelfth of the circle is 30 degrees. how many radians is one twelfth of the circle

Answers

$30^o=(30)/(180)\pi\ rad=(1)/(6)\pi\ rad=(\pi)/(6)\ rad$

a circle has a total of 2π radians, so 1/12 of that is 2π/12, or π/6 radians

Marco is 6 feet 3 inches tall. There are 2.54 centimeters in 1 inch. What is Marco's height in centimeters?

Answers

Answer:

Step-by-step explanation:

First, let's convert 6 feet 3 inches to just inches. Because there are 12 inches in 1 foot, we can say that there are 72 inches in 6 feet. Combined with the other 3 inches, we can say that Marco is a 75 inches tall.

Now, we can multiply the number of inches we found by 2.54 to get Marco's height in centimeters. This gives us 190.5 cm.

Answer:

192 cm

Step-by-step explanation:

A betting company wishes to sell 5000 tickets 50 of which will win prizes. I.) A students decided to buy 200 tickets. Let X be the number of tickets that win a prize. Write the probability distribution of X and give its mean. Ii.) Using a Poisson approximation for the distribution of X find the probability of at least three tickets winning a prize. Iii.) Calculate the number of tickets that should be bought so as the probability of at least one winning a prize is 90%

Answers

Answer:45000,000,000,000

Step-by-step explanation:you just have to times it

How do you write this in standard form? (6-7i)/(1-2i)

Answers

$\frac { \left( 6-7i \right) }{ \left( 1-2i \right) } \cdot 1\n \n =\frac { \left( 6-7i \right) }{ \left( 1-2i \right) } \cdot \frac { \left( 1+2i \right) }{ \left( 1+2i \right) } \n \n =\frac { 6+12i-7i-14{ i }^( 2 ) }{ 1+2i-2i-4{ i }^( 2 ) }$

$\n \n =\frac { 6+5i-14\left( -1 \right) }{ 1-4\left( -1 \right) } \n \n =\frac { 6+5i+14 }{ 1+4 } \n \n =\frac { 20+5i }{ 5 } \n \n =\frac { 20 }{ 5 } +\frac { 5i }{ 5 } \n \n =4+i$

Please help me please