Answer
Find out the what is the surface area of the pyramid .
To proof
Formula
Surface area of a square pyramid
Where a is the base edge and h be the height .
As given
A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches.
i.e Base edge = 40 inches
Height = 21 inches
Put values in the above formula
solving
= 1600 + 80 × 29
= 3920 inches²
Therefore the surface area of the pyramid is 3,920 inches²
Hence proved
Answer:
Step-by-step explanation:
We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:
y = 10x
Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:
2(x + y) = xy and we know that y = 10x so
2(x + 10x) = x(10x) and
and
and
x(10x - 22) = 0 so
x = 0 or 10x - 22 = 0 which makes
x equal to
So x = 2.2 and y = 22.
Answer: 78.02 cm²
Step-by-step explanation:
1. To solve this problem you need to apply the formula for calculate the area of a rectangle, which is shown below:
Where is the area of the rectangle,
is its lenght and
is its width.
2. You know that the rectangle has a length of 9.4 cm and a width of 8.3 cm, therefore, you must substitute these values into the formula. Then, you obtain the following result: