Answer:
384 m³
Step-by-step explanation:
Let the dimension of box a be l,b, and h.
ATQ,
lbh = 48 .....(1)
If we double the dimension of box A, we get box B whose new dimensions will be 2l,2b and 2h.
Let V be the volume of box B.
V = (2l)(2b)(2h)
V = 8(lbh)
= 8(48) [from equation (1)]
= 384 m³
Hence, the volume of the box B is 384 m³.
Answer:
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference of a circle is equal to
we have
substitute the values
step 2
Find the area of the circle
The area of the circle is equal to
substitute the values
Answer:
15÷-5=-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.
1) (2-6i)+(4+2i)
open the parenthesis
= 2-6i+4+2i
collect like terms
= 2+4-6i+2i
= 6-4i
2) (6+5i)(9-2i)
= 6(9)-6(2i)+9(5i)-5i(2i)
= 54-12i+45i-10i²
= 54+33i-10i²
In complex number i² = -1
= 54+33i-10(-1)
= 54+33i+10
= 54+10+33i
= 64+33i
3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i
= 2/3-9i*3+9i/3+9i
=2(3+9i)/(3-9i)(3+9i)
= 6+18i/9-27i+27i-81i²
= 6+18i/9-81(-1)
= 6+18i/9+81
= 6+18i/90
= 6/90 + 18i/90
= 1/15+1/5 i
4) For (3 − 5i)(7 − 2i)
open the parenthesis
= 3(7)-3(2i)-7(5i)-5i(-2i)
= 21-6i-35i+10i²
= 21-6i-35i+10(-1)
= 21-41i-10
= 11-41i
