3,200,00 converted to scientific notation is 3.2 x 106
Answer:
Step-by-step explanation:
Given
Midpoint is 
Endpoints are 
and 
Mid point of any two point is given by
and 
So,
Also
Therefore
Answer:
The answers are in solutions.
Step-by-step explanation:
- Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.
(i) The amount invested by each businessman is;
<u>1^st businessman invested:</u>
<u />
Rs. 30,000
<u>2^nd businessman invested:</u>
<u />
<u />
= Rs. 50,000
<u>3^rd businessman invested:</u>
<u />
<u />
= Rs. 70,000
<u>4^th businessman invested:</u>
<u />
= Rs. 100,000
- If they gained Rs. 50,000
(ii) The profit each one of them got is;
<u>1^st businessman got:</u>
<u />
<u />
= Rs. 6,000
<u>2^nd businessman got:</u>
<u />
<u />
= Rs. 10,000
<u>3^rd businessman got:</u>
<u />
<u />
= Rs. 14,000
<u>4^th businessman got:</u>
= Rs. 20,000
Answer:
C
Step-by-step explanation:
Four right angles eliminates trapezoids.
Four right angles also eliminates any triangle
General quadrilaterals should be eliminated by the 4 right angles. If they have 4 right angles, the figure is not a general quadrilateral.
The answer is rectangles and squares.
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
