Answer:
Step-by-step explanation:
The unit vector for a nonzero vector, say u, in the direction of u is given by:
û = ---------------(i)
Where;
|u| = magnitude of vector u
From the question;
u = (4, -4)
First let's calculate the magnitude of u as follows;
|u| =
|u| =
|u| = =
Now, substitute u and |u| into equation (i) as follows;
û =
û =
û =
Therefore, the unit vector is
<em> </em><em>ans</em><em> </em><em>is</em><em> </em><em>4</em><em>3</em><em>/</em><em>8</em><em>.</em>
<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>✳</em><em>✴</em><em>⤴</em><em>⤴</em>
I thinks the answer is 90 because the figure has. No sides and has an even number of triangles around it
Answer:
1) m∠U = 90°
2) m∠C = 80°
Step-by-step explanation:
1) The given figure is a quadrilateral
The sum of the interior angles of quadrilateral = 360°
∴ The sum of the interior angles of the given figure = 360°
Therefore, we have;
80° + 24·x + 4 + 6 + 21·x + 90° = 360°
80° + 45·x + 10 + 90° = 360°
x = (360°- (80° + 10° + 90°))/45 = 4
x = 4
m∠U = 6 + 21·x = 6 + 21 × 4 = 90
m∠U = 90°
2) The sum of the interior angles of the given quadrilateral = 360°
∴ 21·x + 6 + 20·x + 24·x + 4 + 21·x + 6 = 360°
86·x + 16 = 360°
x = (360° - 16°)/86 = 4
x = 4
m∠C = 20·x = 20 × 4 = 80
m∠C = 80°
3) In the figure, some angles are left out, therefore, more information on the remaining angles required
Answer:
The simplified expression for the given expression will be:
c.
Step-by-step explanation:
Given expression:
To simplify the expression.
Solution:
In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.
<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>
So, we have:
⇒
Combining like terms
⇒
<em>The like terms can be evaluated as</em>
Thus, the simplified expression will be:
⇒