Answer:
10
Step-by-step explanation:
The ratio of abc/def=1.5
15/1.5=10
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<h3>
Answer:</h3>
x=30
<h3>
Solution:</h3>
- First, use the distributive property:
- 8x-3(2x-4)=3(x-6)
- 8x-6x+12=3x-18
- Simplify:
- 2x+12=3x-18
- 2x-3x=-12-18
- -x=-30
- x=30
Hope it helps.
Do comment if you have any query.
Answer:
6:1
Step-by-step explanation:
48:( 4+4 )
= 48:8
= <u>6:1</u>
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>