<em>Answer: 52</em>
<em />
<em>Step-by-step explanation:</em>
<em>8x6+(12-4)÷2</em>
<em>Parenthesis' first</em>
<em>8x6+8÷2</em>
<em>multiplication next</em>
<em>48+8÷2</em>
<em>Division next</em>
<em>48+4</em>
<em>52</em>
Consider this option (basic steps are marked).
Shift of 6 units right, reflects over x-axis
Answer:
Option B.
Step-by-step explanation:
The given expression is
We need to find an expression which is equivalent to the given expression.
Combine like terms.
The simplified form of given expression is 8p-9. So, option A is incorrect.
In option B, the given expression
Using distributive property, we get
Combined liker terms.
It is same as the simplified form of given expression.
Therefore, the expression 3(p+(-3))+5p is equivalent to the given expression and correct option is B.
Answer: The height is 6.07 meters
Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;
Tan 34 = opposite/adjacent
Tan 34 = h/9
0.6745 = h/9
0.6745 x 9 = h
6.0705 = h
Therefore the approximate height of the barn to the ground is 6.07 meters
