Proportional:
4/7 and 10/17.5
2/3 and 9/12
18/8 and 9/4
NOT proportional:
3/8 and 6/141
7/5 and 27/50
Answer:
Option D. 23.4 pounds
Step-by-step explanation:
step 1
Find the pieces of glass for 22.5 pounds of copper in the sculpture.
using proportion

step 2
Find the pounds of bronze used in the sculpture
using proportion

Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
Answer:
$1095
Step-by-step explanation:
15/100×7300
cancel the two zeros after the number 100 and 73= 15/1×73=1095
Answer:
tan(x)=512 can be thought of as the ratio of opposite to adjacent sides in a triangle with sides 5,12 and 13 (where 13 is derived
Step-by-step explanation: