3/10 due to there being 10 marbles (for white) for blue 7/10
Answer:
a. csc²θ
Step-by-step explanation:
You can use the identities ...
1 +tan² = sec²
cot = cos/sin
sec = 1/cos
csc = 1/sin
___
Then the expression becomes ...

Answer:
Part 3)


Part 4) 
Step-by-step explanation:
Part 3)
<em>step 1</em>
Find the value of x
In the right triangle of the figure we know that
The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse
so

and remember that

substitute

Simplify

<em>step 2</em>
Find the value of y
In the right triangle of the figure we know that
The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse
so

and remember that

substitute


Part 4) Find the value of x
Applying the Pythagoras Theorem

Simplify

Answer:
<7 = 47, 2x - 5 + 47 = 180, x = 69
Step-by-step explanation:
<5 and <7 are vertical angles, which means that they have the same degree.
<7 + <6 = 180. <6 = 2x - 5. 2x - 5 + 47 = 180.
Solve
2x - 5 + 47 = 180
2x + 42 = 180
2x = 138
x = 69
Answer:
n = -7,6
Step-by-step explanation:
n(n+1)+3=45
distributive property: a(b+c) = ab+ac
n²+n+3 = 45
n²+n -42 = 0
factor now
(n+7)(n-6) = 0
n = -7,6