Sin 30 = 1/2
tan 45 = 1
Cosec 60 = 2 / √3 = 2√3 / 3
cot 45 = 1
Cos 60 = 1/2
sec 30 = 2 / √3 = 2√3 / 3
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[ 1/2 + 1 - 2√3/3 ] ÷ [ 1 + 1/2 - 2√3/3 ] = <em>1</em>
The face and denominator of the fraction are exactly the same thus the answer is 1 .
Given:
The expression is

To find:
The equivalent expression.
Solution:
Distributive property of multiplication over addition is

Where, a, b and c are real numbers.
We have,

Using distributive property, we get


Therefore, the expression
is equivalent to the given expression.
Answer:
A. 2
Step-by-step explanation:
Its successive multiples and it increases:
+2, +4, +6, +8
it increases by 2 every time which is successive multiples so the answer is A, 2.
Answer:
The height of the building is of 244.95 feet.
Step-by-step explanation:
We use the Pythagorean Theorem to solve this question.
We have that:
The shadow of 50 feet is one side of the right triangle, while the height h is other side.
The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.
So



The height of the building is of 244.95 feet.