Please help me with this answer

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

7 0

Answer:

x=3 y=5

Step-by-step explanation:

for the linrd to become parallel 45x minus 5 and 16x +2 they are the same side interior angles 45x-5+16x+2 is 180 so 61x minus 3 that would equal 180 then u add number 3 to both equaling 180. 61x =183 divide both sides by number 61 that means x equals 3

45x- and 26 y they are both congruent and corresponding angles. 26y what's 45 * 3 -5 equals 130 divide both sides by 26 and then you would get y equals 5 I hope this helps

harina [27]3 years ago

3 0

Answer:

x = 3, y = 5

Step-by-step explanation:

For the lines to be parallel, then

45x - 5 and 16x + 2 are same side interior angles and are supplementary, thus

45x - 5 + 16x + 2 = 180, that is

61x - 3 = 180 ( add 3 to both sides )

61x = 183 ( divide both sides by 61 )

x = 3

45x - 5 and 26y are corresponding angles and are congruent, thus

26y = (45 × 3) - 5 = 135 - 5 = 130 ( divide both sides by 26 )

y = 5

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A motorboat starts from rest (initial velocity v(0)=v0=0 ft/s. Its motor provides a constant acceleration of 4 ft/s2 but water r

alekssr [168]

The correct question is:

A motorboat starts from rest (initial velocity v(0) = v_0 = 0). Its motor provides a constant acceleration of 4 ft/s², but water resistance causes a deceleration of v²/400 ft/s².

(a) Write a differential equation for the velocity v.

(b) Find v when t = 10s, and also find the limiting velocity as t → ∞ (that is, the maximum possible speed of the boat).

Answer:

(a) The differential equation is:

dv/dt = 4 - (v²/400)

(b) v = 30.46ft/s when t = 10s.

Step-by-step explanation:

(a) The differential equation is formed by considering the changes in acceleration. At a constant acceleration of 4 ft/s², it then decelerate at v²/400 ft/s².

Adding these, we have

Acceleration, a = 4 - (v²/400)

Because acceleration is the derivative of velocity, a = dv/dt.

dv/dt = 4 - (v²/400)

(b) The differential equation obtained in (a) is solved, and evaluated at t = 10, to obtain v = 30.46 ft/s

SEE ATTACHMENT FOR THE STEP BY STEP WORKINGS.