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3 years ago

How do I complete the proof?

Mathematics

1 answer:

Likurg_2 [28]3 years ago

3 0

The proof is to show your work

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What is 4h-8h simplified

tester [92]

Answer:

it is -4h

step-by-step explanation:

8 0

3 years ago

A plane flew 720 mi with a steady 30 mi/h tailwind. The pilot then returned to the starting point, flying against that same wind

NNADVOKAT [17]

Answer:

Plane's speed is 150 miles/hour

Step-by-step explanation:

Let the plane's airspeed be x

Speed of wind is 30 miles/hour

When a plane flew with the wind , Speed = (x+30)

So, the speed plain with wind on going = (x+30)

Since we are given that on returning plane fly against the wind .

So,When a plane flew against the wind , Speed = (x-30)

So, the speed plain against wind on returning = (x-30)

Distance = 720 miles .

$Time = \frac{Distance}{Speed}$

So, time on going $=\frac{720}{(x+30)}$

Time on returning $=\frac{720}{(x-30)}$

Now we are given that the total time for the whole trip (going + returning) = 10 hours.

So, $\frac{720}{(x+30)}+\frac{720}{(x-30)}=10$

$\frac{720x-21600+720x+21600}{(x+30)(x-30)}=10$

$720x-21600+720x+21600=10(x+30)(x-30)$

$720x+720x=10(x+30)(x-30)$

$1440x=10(x^2 -[30]^2)$

$144x=x^2 -900$

$x^2-144x -900=0$

$x^2-150x+6x -900=0$

$x(x-150)+6(x -150)=0$

$(x-150)(x+6)=0$

$x= 150,x= -6$

So, the plane's speed is 150 miles/hour

4 0

3 years ago

Need to find shaded area of figure please help!

devlian [24]

Answer:

39 ft^2

Step-by-step explanation:

Find the area of the triangle and subtract the area of the square.

area of triangle = bh/2

area of square = s^2

shaded area = bh/2 - s^2

shaded area = (20 ft)(16 ft)/2 - (11 ft)^2

shaded area = 160 ft^2 - 121 ft^2

shaded area = 39 ft^2

7 0

3 years ago

Help please. <br> Angle SPR and angle RPQ are complementary. Find the measure of angle RPQ.

Over [174]

Answer:

53 degrees

Step-by-step explanation:

Complimentary angles are angles whose sum equals 90 degrees.

90-37 = 53

3 0

3 years ago

Read 2 more answers

What is the length (in cm) of a rectangle with width 14 cm and area 168² cm

kati45 [8]

Answer:

Step-by-step explanation:

Area = length * width

length = area ÷ width

4 0

3 years ago