Answer:
1.5 hours
I traveled farther
2 miles
Step-by-step explanation:
My speed
Speed of my friend
Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let be the time taken to meet
So, we meet each other after 1.5 hours.
Distance traveled by me
Distance traveled by my friend
So, I traveled farther by .
Answer:
The depth of the reflector is 0.84 feet
Step-by-step explanation:
<em>(See the figure below)</em>
The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:
(1)
With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:
(2)
Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:
, solving for y
The hypotenuse angle theorem<span> basically states that if the hypotenuse and an acute angle of one right triangle</span><span> are congruent to the </span>hypotenuse<span> and an acute </span>angle<span> of another right triangle, then the two triangles are congruent.
So I would say D is correct</span>
Answer:
360 pi in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 12 so the radius is 1/2 the diameter
r = d/2 = 12/2 = 6
V = pi (6)^2 * 10
V = pi (36)*10
V = 360 pi in ^3
We can approximate pi by 3.14
V =1130.4 in ^3
Or we can approximate pi by using the pi button
V =1130.973355 in ^3
In the attached diagram you can see Place Value Chart that is used to help understand the value of each digit based on the place or position.
For the number 756:
- 7 has a value of 7 hundreds, or 700;
- 5 has a value of 5 tens, or 50;
- 6 has a value of 6 ones, or 6.
Answer: 5 has a value of 5 tens, or 50