Answer:
45 marbles
Step-by-step explanation:
Using the information provided, we can form the equation x/5 - 2 = 7
Step 1: Add two on both sides of the equation x/5 - 2 = 7
Step 2: Multiply both sides of the equation by 5, to cancel out x. x/5=9
Step 3: Lastly, you get that x=45 marbles
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
Answer
Find out the how high up the wall does the ladder reach .
To proof
let us assume that the height of the wall be x .
As given
A 25-foot long ladder is propped against a wall at an angle of 18° .
as shown in the diagram given below
By using the trignometric identity
now
Base = wall height = x
Hypotenuse = 25 foot
Put in the trignometric identity
x = 23.8 foot ( approx)
Therefore the height of the ladder be 23.8 foot ( approx) .
Answer:
C(5,3)=10
Pictures 1,2,3,4,5
So the Possible sets are:
(1,2,3) (1,2,4)
(1,2,5) (1,3,4)
(1,3,5) (1,4,5)
(2,3,4) (2,3,5)
(2,4,5) (3,4,5)
Answer: 22 hours 11 minutes
<u>Step-by-step explanation:</u>
![22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes](https://tex.z-dn.net/?f=22%5C%20hours%20%2B%20%5Cbigg%5B%5Cdfrac%7B19%7D%7B100%7D%3D%5Cdfrac%7Bx%7D%7B60%7D%5Cbigg%5D%5C%5C%5C%5C22%5C%20hours%20%2B%2011%5C%20minutes)
