Lamar earns 40% of her daily earnings moving furniture if she earns $150 in total on one day how much money did she earn moving
1 answer:
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Answer:
Surface area of pyramid with base equilateral triangle is square inches
Step-by-step explanation:
Recall the following result:
The total surface area(S) of a regular pyramid is given by,
...... (1)
Here, p represents the perimeter of the base , the slant height and B the base area of the pyramid.
From the given information:
Side of equilateral triangle = 20 inches
Slant height of the pyramid() = 13 inches.
First find the perimeter and Area of the base pyramid.
Perimeter of equilateral triangle(p) =
=
Area of equilateral triangle(B) =
= square inches.
Substitute the above values in equation (1) as shown below:
square inches
Hence, the surface area of pyramid with base equilateral triangle is square inches.
Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
For, A to be greatest ,
⇒
⇒
⇒
Therefore, from equation (3), k = 5 - h²
⇒
Hence,
Width = 2h =√10 and
Height =