Answer:
12n-10=14, n=2
Step-by-step explanation:
( Twelve times of a number decreased by 10 is equal to 14 ) This sentence can be written mathematically to be: 12n-10=14
The answer: Add 10 to both sides: 12n-10=14 > 12n-10+10=14+10 > 12n=24
Divide both sides by 12: 12n=24 > > n=2
F1 . . . 100% of it = 900N is in the +x direction.
F2 . . . 70.7% of it (cos45°, 530.3N) is in the +x direction,
and 70.7% of it (sin45°, 530.3N) is in the +y direction.
F3 . . . 80% of it (520N) is in the -x direction,
and 60% of it (390N) is in the +y direction.
Total x-component: 900 + 530.3 - 520 = 1,950.3 N
Total y-component: 530.3 + 390 = 920.3 N
Magnitude of the resultant = √ (x² + y²)
= √(1950.3² + 920.3²)
= √4,650,070.09
= 2,156.4 N .
Angle of the resultant, measured counterclockwise
from the +x axis, is
tan⁻¹ (y / x)
= tan⁻¹ (920.3 / 1950.3)
= tan⁻¹ (0.4719)
= about 25.3° .
Caution:
The same fatigue that degrades my ability to READ the question accurately
may also compromise the accuracy of my solutions. Before you use this
answer for anything, check it, check it, check it !
The length of AC is 8
Explanation:
Given that ABC is a right angled triangle.
The measure of angle A is and
<u>Length of AC:</u>
Using the trigonometric ratios, we have,
where and
Substituting the values, we have,
Multiplying both sides of the equation by AC, we get,
Multiplying both sides by , we get,
Simplifying, we get,
Thus, the length of AC is 8
Answer:
$12
Step-by-step explanation:
Cost of basketball tickets will be 26*$19.25=$500.5
Cost of symphony tickets will be 22*$23.25=$511.5
Total cost incurred will be $500.5+511.5=$1012
Budget was $1000
Extra money past budget will be $1012-$1000=$12
Therefore, Lyle exceeded budget by $12