You are riding in a hot air balloon on Valentine’s Day withyour sweetheart. As you get ready to set your balloon downyou notice
that while your balloon is 500 ft above ground, your friends balloon is 800 ft above ground. The plan is for both balloons to descend straight down. Your balloon willland right at the edge of the lake below, but it appears thatyour friends will be pretty far away. You can see a reflectionof their balloon right in the middle (direct center) of the 1200 ft wide lake below.How far away from the lake will your friends touch down?
(Don't mind my scribbles maybe they will help, maybe not)
(Don't mind my scribbles maybe they will help, maybe not)
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Let the rectangle have (x,y,z) as vertex in positive octant. The rectangular box has to be necessarily symmetrical about all the three axes.
Then the sides of the box would be
Volume =
Maximize volume subject to
i.e.
Use Lagrangian multipliers , we have
at the maximum
Dividing we get
Similarly
Thus we get
Hence dimensions are
(2x,2y,2z)
So dimensions are
Answer:
135 square feet.
Step-by-step explanation:
A triangular prism. The rectangular sides are 8 feet by 2.5 feet, 8 feet by 6 feet, and 8 feet by 6.5 feet. The triangular sides have a base of 2.5 feet and a height of 6 feet.
The prism has two triangular faces and three rectangular faces.
So, the surface area of the prism will be
= 15 + 20 + 48 + 52
= 135 square feet. (Answer)
<h2>Hello!</h2>
The answer is:
The total area is:
To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.
We know that the diameter of each sphere is 7 centimeters, so, calculating we have:
Calculating the radius we have,
Then, calculating the area, we have:
Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.
So, calculating we have:
Hence, the total area is:
Have a nice day!