Answer:
67
Step-by-step explanation:
● -(x + 3) + (y - 5) + (z - 6)
● -x - 3 + y - 5 + z - 6
● (-x + y + z) + (3 -5 -6)
● 75 + 3 - 11
● 78 - 11
● 67
Answer:
(4) 0
Step-by-step explanation:
<u>Given:</u>
- cos²27°×cos²34°×...×cos²167 = ?
<u>Looking at the angles measures, they form series of: </u>
This is AP with the first term of 27 and common difference of 7
<u>We can see one of the terms of this AP is 90</u>
Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.
<u>So correct answer choice is</u> Option 4) 0
Answer:
Step-by-step explanation:


Answer:
The width of rectangle is
or 
Step-by-step explanation:
we know that
The perimeter of rectangle is equal to

where
L is the length of rectangle
W is the width of rectangle
we have

substitute

solve for x





simplify

<em>Find the width of rectangle</em>

substitute the value of x

Convert to mixed number


describes a circle of radius 2 centered at (0,2). A revolution of this region about the y-axis would give you a sphere of radius 2, so the volume would be

.