3(a + b) and 3a + b - NOT EQUIVALENT because
3(a + b) = 3a + 3b
<em>used distributive property a(b + c) = ab + ac</em>
4(x + 2y) and 8y + 4x - EQUIVALENT because
4(x + 2y) = (4)(x) + (4)(2y) = 4x + 8y = 8y + 4x
<em>used distributive property a(b + c) = ab + ac</em>
<em>and commutative property a + b = b + a</em>
Hey there :)
Without using a calculator it is not hard to identify where it lies.
√88
Which are the perfect squares before and after √88 ?
√81 which is 9 and √100 which is 10
Therefore, √88 is between 9 and 10
In case you use a calculator, we can see that:
√88 = 9.38
9 < 9.38 < 10
A < 16
The answer is C
You treat it like an equation, since you don't divide by negative numbers the sign stays the same<span />
Area of TV screen = 15 x 20 = 300 square feet
Cost of TV screen cover = 25 cents per square foot
Cost to cover TV screen = 0.25 x 300 = $75
The point of observation is 2500 m away from the foot of the building.
The angle of elevation is 4°.
We need to find the height 'h' of the building.
With respect to 4°,
2500 is the adjacent side.
'h' is the opposite side.
The trigonometric ratio associating opposite & adjacent is tan.
We have


Cross multiplying we get
h = 2500 tan4°
h= 174.82 m
Option B) is the right answer.