157 degrees ... set 4x-5 = x+16 then solve, you should get x=7, plug in 7 for one of the equations and you'll get 23. subtract 23 from 180 and get 157. hope that helped :)
Answer:
57 hours
Step-by-step explanation:
because it is big hours
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Total value of ratio = 4+3+1 = 8
value of 1 unit = 64/8 = 8
numbers are 4(8), 3(8), 1(8) = 32, 24, 8
so, the greatest number is 32
Answer:
Step-by-step explanation:
<u>Area of circle equation:</u>
Let the radius of bigger circle is x.
<u>We have:</u>
<u>Solve for x:</u>
- x² = 2(14²)
- x = √2(14²)
- x = 14√2 cm
The normal vector to the plane <em>x</em> + 3<em>y</em> + <em>z</em> = 5 is <em>n</em> = (1, 3, 1). The line we want is parallel to this normal vector.
Scale this normal vector by any real number <em>t</em> to get the equation of the line through the point (1, 3, 1) and the origin, then translate it by the vector (1, 0, 6) to get the equation of the line we want:
(1, 0, 6) + (1, 3, 1)<em>t</em> = (1 + <em>t</em>, 3<em>t</em>, 6 + <em>t</em>)
This is the vector equation; getting the parametric form is just a matter of delineating
<em>x</em>(<em>t</em>) = 1 + <em>t</em>
<em>y</em>(<em>t</em>) = 3<em>t</em>
<em>z</em>(<em>t</em>) = 6 + <em>t</em>
