I equals 70 grams cup because
Answer:
B
Step-by-step explanation:
3 -4 | 2
0 -1 | 7
3/2 -2 | 1
R1/3 ----> R1 (divide Row 1 by 3)
1 -4/3 | 2/3
0 -1 | 7
3/2 -2 | 1
R3 - 3/2 R1 -------> R3 (multiply Row 1 by 3/2 and subtract it from Row 3)
1 -4/3 | 2/3
0 -1 | 7
0 0 | 0
R2 / -1 -------> R2 (Divide Row 2 by -1)
1 -4/3 | 2/3
0 1 | -7
0 0 | 0
R1 + 4/3 R2 --------> R1 (Multiply Row 2 by 4/3 and add it to Row 1)
1 0 | -26/3
0 1 | -7
0 0 | 0
Answer:
Step-by-step explanation:
Given the expression cosec (x) = 4 and tan(x)< 0
since cosec x = 1/sinx
1/sinx = 4
sinx = 1/4
From SOH, CAH TOA
sinθ = opposite/hypotenuse
from sinx = 1/4
opposite = 1 and hypotenuse = 4
to get the adjacent, we will use the Pythagoras theorem
adj² = 4²-1²
adj² = 16-1
adj ²= 15
adj = √15
cosx = adj/hyp = √15/4
tanx = opposite/adjacent = 1/√15
since tan < 0, then tanx = -1/√15
From double angle formula;
sin2x = 2sinxcosx
sin2x = 2(1/4)(√15/4)
sin2x = 2√15/16
sin2x = √15/8
for cos2x;
cos2x = 1-2sin²x
cos2x = 1-2(1/4)²
cos2x = 1-2(1/16)
cos2x= 1-1/8
cos2x = 7/8
for tan2x;
tan2x = tanx + tanx/1-tan²x
tan2x = 2tanx/1-tan²x
tan2x = 2(-1/√15)/1-(-1/√15)²
tan2x = (-2/√15)/(1-1/15)
tan2x = (-2/√15)/(14/15)
tan2x = -2/√15 * 15/14
tan2x = -30/14√15
tan2x = -30/7√15
rationalize
tan2x = -30/7√15 * √15/√15
tan2x = -30√15/7*15
tan2x = -2√15/7
Answer:
16 square inches
Step-by-step explanation:
4 x 4 = 16
