Answer:
B. x= 4
Step-by-step explanation:
We know that,
The result for the intersection of the secant and the tangent is given by by the figure below,
According to the question, we have,
i.e. 
i.e. 
Now, the solution of a quadratic equation 
is given by, 
So, we get,
implies a= 1, b= 12 and c= -64.
Thus, the solution is given by,
i.e. 
i.e. 
i.e. 
i.e. 
and i.e. 
i.e. 
and i.e. 
i.e x= -16 and x= 4.
Since, length cannot be negative.
So, we have, x= 4.
Answer:
29/22
Step-by-step explanation:
Let x = 1.31818181818....
Then, 10x = 13.18181818..., and 1000x = 1318.18181818..... Subtracting the first equation from the second, we get that 990x = 1305. This means that x = 1305/990. In lowest terms, this is 29/22.
1.621 kN
Step-by-step explanation:
Let the centerline of the canal be the x-axis. Because the forces exerted by the horses are symmetric to the centerline, only the x-components of these forces contribute to the resultant force on the barge, i.e., the y-components cancel out. Each x-component is equal to 
= 810.4 N. Therefore, the resultant force on the barge is twice this:
Answer:
A) 6
Step-by-step explanation:
To calculate the geometric mean, multiply all the numbers together and take the square root.
√(4 × 9)
√(36)
6
9514 1404 393
Answer:
15.8 ÷ 3.9
Step-by-step explanation:
To make up this problem, we can start with two numbers whose quotient we know is 4, such as 16 and 4. Then we can choose two numbers that round to these values, such as 15.8 and 3.9
__
The problem 15.8 ÷ 3.9 has an estimated quotient of 4. The estimate is found by rounding each value to the nearest integer and finding the quotient of those numbers: 16/4 = 4.
_____
<em>Additional comment</em>
The actual quotient is 4 2/39, about 4.05128.
