Answer:
Step-by-step explanation:
Xavier, Yolanda and Zara shared some money.
Let x represent Xavier's share
Let y represent Yolanda's share
Let z represent Zara's share.
Yolanda received 40% more money than Xavier. This means that
y = x + 40/100×x = x + 0.4x = 1.4x
Zara received 60% of Yolanda's share. This means that
z = 60/100× 1.4 = 0.6×1.4 = 0.84x
. If Zara received $1,176, then,
0.84x = 1176
x = 1176/0.84 = 1400
y = 1.4 × 1400 = $1960
z = 0.84 × 1400 = $1176
The sum of the money is
1400 + 1960 + 1176 = $4536
Answer:
The family of directions of the given vector is represented by 
, 
.
Step-by-step explanation:
According to the given information, vector stands in the 4th Quadrant (
, 
) and direction of the vector (
) in sexagesimal degrees, is determined by following definition:
,
Please notice that angle represents a function with a periodicity of 360°.
If we know that 
and 
, then the direction of the vector is:
The family of directions of the given vector is represented by , .
58/75 = 58/75 x 100 %
<span>= 58 x 100/75 % </span>
<span>= 58 x 4/3 % </span>
<span>= 232/3 % </span>
<span>≈ 77.33 % </span>
I hope this helps you
Volume =20×10^2square root of 3/4
Volume =500 square root of 3
500 square root of 3-2
