Find the angle measure.<br><br> PLEASE EXPLAIN I NEED TO SHOW MY WORK

Matt and Anna Killian are frequent flors on Fast-n-Go Airlines, They often fly between two cities that are a distance of 800 mil

inna [77]

Answer:

The speed of the wind is 40mph, the speed of the plane in still air is 360mph

Step-by-step explanation:

distance = speed * time

Both legs of the trip are 800 miles, let 'x' represent the speed of the plane in still air and 'w' represent the speed of the wind, then 'x+w' represents the speed with the wind and 'x-w' represents the speed into the wind

800 = (x-w)2.5

800 = (x+w)2

Rewrite equations:

800=−2.5w+2.5x;800=2w+2x

Steps: Solve 800=−2.5w+2.5x for w:

800=−2.5w+2.5x

800+2.5w=−2.5w+2.5x+2.5w(Add 2.5w to both sides)

2.5w+800=2.5x

2.5w+800+−800=2.5x+−800(Add -800 to both sides)

2.5w=2.5x−800

2.5w/2.5 = 2.5x - 800 / 2.5 (Divide both sides by 2.5)

w=x−320

Step: Substitute x−320 for w in 800=2w+2x:

800=2w+2x

800=2(x−320)+2x

800=4x−640(Simplify both sides of the equation)

800+−4x=4x−640+−4x(Add -4x to both sides)

−4x+800=−640

−4x+800+−800=−640+−800(Add -800 to both sides)

−4x=−1440

-4x/-4 = -1440/-4 (Divide both sides by -4)

x=360

Step: Substitute 360 for x in w=x−320:

w=x−320

w=360−320

w=40(Simplify both sides of the equation)

solving this system we have:

w=40

x=360

Therefore, the speed of the wind is 40mph, the speed of the plain in still air is 360mph

7 0

3 years ago

What is the volume of a ball that has a diameter of 9 inches? Round to the nearest whole number

nalin [4]

Ball=sphere
Vsphere=pir^3
d/2=r
d=9
9/2=4.5=r
V=pi4.5^3
V=pi91.125
aprox pi=3.141592
V=286.227
round
V=286 in^3

4 0

3 years ago

russell , sarah and terry share money in the ratio 2:5:8 , russell gets 120 pound less than terry. how much money do they get ea

notsponge [240]

Answer:

Russell: 40 pounds; Sarah: 100 pounds; and Terry: 160 pounds.

Step-by-step explanation:

The three different amounts of money are 2x, 5x and 8x, or 15x.

Terry gets 8x, whereas Russell gets 2x, and 8x - 2x = 120 pounds.

Solving for x, 6x = 120 pounds, and so x = 20 pounds.

Russell gets 2(20 pounds); Sarah gets 5(20 pounds); and Terry gets 8(20 pounds), or 40 pounds, 100 pounds and 160 pounds. Note that 40 pounds is 120 pounds less than 160 pounds, as required by the problem.

8 0

3 years ago

Every day at noon, a bus leaves for Townville and travels at a speed of x kilometers per hour. Today, the bus left 30 minutes la

goblinko [34]

Answer:

Step-by-step explanation:

Given that every day at noon, a bus leaves for Townville and travels at a speed of x kilometers per hour. Today, the bus left 30 minutes late.

If the driver drives 7/6 times as fast as usual, she will arrive in Townville at the regular time.

If correct time leaves then distance = time *speed

280 = t*x where t is the time in hours

Or t = 280/x

Now speed changes to 7x/6 while time changes to (t-1/2)