I'm assuming no air friction here, first use conservation of energy to find velocity, so initially all the energy is from the spring, (1/2)kx^2, then it is converted to kinetic energy, (1/2)mv^2. so .5kx^2=.5mv^2. the .5s cancel, kx^2=mv^2. solve for v, v=sqrt(kx^2/m) plug in your values for the variables and find v. then use vf^2=vi^2+2ax in the u direction and solve for vf, vf=sqrt(vi^2+2ax). use that velocity in vf=vi+at and solve for t. vi=0 and a=g=9.81, so vf/a=t. plug in the values from the previous equation and the acceleration due to gravity to find the time it takes to hit the ground vertically. Now use v=x/t and solve for x. x=vt, plug in the velocity of the ball horizontally, which we found with the conservation of energy part, and y which we found with the previous equation, and you get your x, the distance it will take for the ball to hit the ground.
Answer:
1 Rearrange the equation so "y" is on the left and everything else on the right.
2 Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3 Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
Step-by-step explanation:
Answer:
A is the correct answer
Step-by-step explanation:
Angle 3 and angle 5 are on the same side of the transversal. Therefore,
We will use ratio to determine how much can Fatima afford as a loan for her house.
Let gross income of Fatima = $ x
Amount earned by Fatima monthly= $ 5,375
36 % of 5,375=
$
Maximum amount that can be paid as a loan monthly = $ 1935
Total money that she can pay yearly for house loan if Fatima allowable money for paying loans is $ 1935=
$
Money saved as a down payment = $ 15,000
So, maximum amount loan Fatima can take on a house= 23220 + 15000=$38,220
She is not allowed for loan for house if the cost of house is any of the four options.
(B) 28 % of $ 5375=
$
Maximum amount that Fatima spend on her house monthly= $ 1505
Amount that fatima can spend yearly on her house = 1505× 12 =$18,060
For the four options given , none of the option matches Fatima's expectations.
Hi, thank you for posting your question here at Brainly.
To solve this, you have to know the conversion factors.
1 yard = 3 ft = 36 inches
Thus,
48 inches * (1 yard/36 inches) = 1.33 yards
This means that you need to buy at least 2 yards per bolt.