When you think of the situation as a whole, you may notice that the lines in the problem actually form a triangle. First, the man driving 10 miles east forms a bottom leg of the triangle 10 units long. When he drives the 2 miles north, he adds another leg of 2 units length. When the place of work is connected to the starting position through a line, a third and final line is drawn which creates the triangle.
So, how can we find the direct distance from his place of work to his home? We can use the Pythagorean Theorem (
, where 
and 
are the lengths of the legs of the triangle and 
is the length of the hypotenuse). We know that the lengths of the legs are 10 and 2, which we can use in the formula, as shown below:
Now, we can solve this equation for :
The distance would be √104 miles, or approximately 10.2 miles.
Answer:
A) Swing arcs on both sides to intersect the first two arcs created.
Step-by-step explanation:
Bisecting a segment is cutting a line into two equal parts with a line bisector.
The steps involved are;
- Placing a compass on one endpoint
- Opening the compass to a width larger than half of the segment
- Swinging an arc on either side of the segment
- While maintaining the same width, place the compass on the other endpoint
- Swing arcs on both sides of the segment to intersect the first two arcs created
- Using a ruler placed at the points of intersection of the arcs, draw the line bisector.
Sasha was now at step four.
13)
A = bh
h = A/b
h = 211.4 / 24.3
h = 8.7
answer
height = 8.7 m
Answer:
The value that is greater than 45% of the data values is approximately 137.84.
Step-by-step explanation:
The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.
We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:
The critical z value (from z-score table, online) is: -0.12, so:
The value that is greater than 45% of the data values is approximately 137.84.
Answer:
Step-by-step explanation:
given is the Differential equation in I order linear as
Take Laplace on both sides
![L(y') +4L(y) = 48L(t)\\sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2} \\Y(s) [s+4]=\frac{48}{s^2}+9\\Y(s) = \frac{1}{s^2(s+4)}+\frac{9}{s+4}](https://tex.z-dn.net/?f=L%28y%27%29%20%2B4L%28y%29%20%3D%2048L%28t%29%5C%5CsY%28s%29-y%280%29%20%2B4Y%28s%29%20%3D%2048%20%2A%5Cfrac%7B1%7D%7Bs%5E2%7D%20%5C%5CY%28s%29%20%5Bs%2B4%5D%3D%5Cfrac%7B48%7D%7Bs%5E2%7D%2B9%5C%5CY%28s%29%20%3D%20%5Cfrac%7B1%7D%7Bs%5E2%28s%2B4%29%7D%2B%5Cfrac%7B9%7D%7Bs%2B4%7D)
Now if we take inverse we get y(t) the solution
Thus the algebraic equation would be
