Solution of the equation:
Step-by-step explanation:
The equation that we have to solve in this problem is:
The first step to do is to rewrite the mixed fractions as improper fractions. We have:
And
So the equation becomes
Now we multiply by 4 each term on both sides, and we get
Now we subtract 29 from both sides,
And finally, we divide both sides by 4:
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earrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p*x+57-(-75*x+q)=0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
Unless there is none then in that case there very well may be infinite solutions
Answer:
Step-by-step explanation:
SPQ = 43˚ because the angle between a tangent and a chord is equal to the angle in the alternate segment.
SOQ = 86˚ because the angle subtended by an arc at the centre is twice the angle subtended at the circumference.
SQ is not a diameter, if it was SOQ would need to be 90˚(angle at a semicircle)
1/3 of an hour = 20 mins
1/6 * 3/1 = 3/6 = 1/2
Unit rate = 1/2 mile per hour
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The scale of the drawing is 50 m per grid square.
The magnitude of the resultant can be found using the Pythagorean theorem:
r = √(n² +e²)
r = √(500² +200²) = 100√29 ≈ 538.52 . . . meters
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The direction angle can be found using the arctangent function.
The angle east of north is ...
arctan(200/500) ≈ 21.8014°
The resultant is 538.52 meters in the direction 21.8° east of north.