Answer:
i think that they will get the same amount after a week's pay
Answer:
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Step-by-step explanation:
Answer:
D(L)/dt = 407,6 m/s
Step-by-step explanation:
Let call A the intersection point.
As the cars are driving from perpendicular directions, they form with a coordinates x and y, a right triangle, and distance between them is the hypotenuse (L), then
L² = x² + y²
Taking derivatives with respect to time we have:
2*L* D(L)/dt = 2*x *D(x)/dt + 2*y* D(y)/dt (1)
In this equation we know: At a certain time
x = 444 m and D(x)/dt = 10 m/s
y = 333 m and D(y)/dt = 666 m/s
And L = √(x)² + (y)² ⇒ L = √ (444)² +( 333)² ⇒ L = √197136 + 110889
L = √308025
L = 555 m
Thn plugin these values in euatn (1) we get
2* 555 * D(L)/dt (m) = 2* 444* 10 + 2*333*666 (m*m/s)
D(L)/dt = ( 4440 + 221778)/555 (m/s)
D(L)/dt = 407,6 m/s
Answer:
48 degrees
Step-by-step explanation:
<u>1) Solve for x</u>
Complementary angles add up to 90 degrees. Therefore, m<A + m<B is equal to 90:
Open up the parentheses
Subtract 20 from both sides
Divide both sides by 5
Therefore, x is equal to 14.
<u>2) Determine angle A</u>
Substitute x with 14
Therefore, the measure of angle A in degrees is 48 degrees.
I hope this helps!
<span><span>In order to calculate the initial price of the motorcycle, we use the formula:
Total item price=(Item price*tax rate)+item price.
Rearranging the equation to solve for the
unknown:
Item price=total item price/Tax rate.
Substituting the real values
into the formula:
Item cost=1,437/12.5%. The result of this equation
determines that the original price of the motorcycle (not including tax) is:
$11,496-$1,437=$10,059</span></span>
