Answer:

Step-by-step explanation:
To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.
<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.
If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:
a is the height, b is the base, and c is
the hypotenuse.
To obtain the value of the hypotenuse

To find the value of the lenght of the diagonal d across the square, we have:
Where a = b = 20
Substituting the values

Round the answer to 2 decimal places

Answer:
The value of k is -9
Step-by-step explanation:
Subsitute
g(x)=h(x)+k


subtract
from both sides (or add
to both sides)


Answer:To find the volume of a composite solid, u identify the different parts it is made of, work out the volume of each part independently, and sum up the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.
To answer the problem you take 13 and minus -2 to get 15 and divide 15 by 5/4 and you get 12.
Hope I help. :)
Answer:
a(11) = 4^10 = 1048576
Step-by-step explanation:
The first term of this geometric sequence, a(1), is 1, and the common ratio, r, is 4. Each new term is 4 times the previous term. Thus,
a(n) = 1*4^(n - 1), and
a(11) = 4^10 = 1048576