Answer:
<A = ( 4 * 32 - 13 ) = 115
<C = ( x + 18 ) = 50
Step-by-step explanation:
(4x - 13 ) + 15 + ( x + 18 ) = 180 ( because the total angle of a triangle is 180)
5x + 20 = 180
5x = 160
x = 32
Your brother would be nine years old.
Answer:
21 + 12i
Step-by-step explanation:
Given
(3 - 4i)(1 + 5i) - (2 - i) expand the product of factors
= 3 + 11i - 20i² - 2 + i
= 3 + 11i + 20 - 2 + i collect like terms
= 21 + 12i
Answer:
√2/2
Step-by-step explanation:
If sinP = √2/2,
Rationalize;
√2/2
= √2/2,*√2/√2
√4/2√2
= 2/2√2
= 1/√2
Hence sinP = 1/√2
Take sin inverse of both sies
arcsinP = arcsin1/√2
P = 45 degrees
cos P = Cos 45
= 1/√2
= 1/√2 * √2/√2
= √2/2
Hence the value of cosP is √2/2
