Answer:
x=4.0625 cm
Step-by-step explanation:
The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.
Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:
(x+5)^2= 9^2+(x-3)^2
(x^2+10x+25)=81+(x^2-6x+9)
x^2+10x+25=81+x^2-6x+9
16x=65
x=4.0625
Checking:
(4.0625+5)^2=9^2+(4.0625-3)^2
82.1289=82.1289
The center of the circumscribed circle of the triangle
It seems the shape of the cross section would be a trapezoid. Think of it this way. Take any pyramid you can visualise and cut straight down through it but not through the pointy tip(apex) I suppose the shape would be a trapezoid.
Answer:
no
Step-by-step explanation:
In order for one number (A) to be a factor of another (B), the exponents of the primes in the prime factorization of A cannot exceed those of the prime factorization of B.
__
A = 2^14 × 3^20
B = 2^12 × 3^22
The exponent of the factor 2 in A is 14, which exceeds the exponent of the factor 2 in B (12). Therefore, A cannot be a factor of B.
(3^20)(2^14) is not a factor of (3^22)(2^12)