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3 years ago

11

A plane descends to sea level from 36 comma 400 feet after being airborne for 1 and one half hours. The entire flight time is 3

hours and 14 minutes. Determine the average rate of descent of the plane.

2 answers:

andrew-mc [135]3 years ago

6 0

Answer:

350 feet per minute

Step-by-step explanation:

The amount of time it took the plane to descend is 3 hours 14 minutes minus 1 hour 30 minutes.

This means it took 104 minutes for the plane to descend 36,400 feet.

Dividing 36400 by 104, you get 350 which is the average rate of descent in feet per minute.

Daniel [21]3 years ago

6 0

Answer:

350 feet per minute

Step-by-step explanation:

The amount of time it took the plane to descend is 3 hours 14 minutes minus 1 hour 30 minutes.

This means it took 104 minutes for the plane to descend 36,400 feet.

Dividing 36400 by 104, you get 350 which is the average rate of descent in feet per minute.

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Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger c

Mademuasel [1]

Answer:

Volume of smaller canister = 763.02 $cm^3$

Surface area of smaller canister = 466.29 $cm^2$

Volume of larger canister = 6104.16 $cm^3$

Surface area of larger canister = 1865.16 $cm^2$

Volume becomes 8 times by doubling the size and surface area becomes 4 times by doubling the size.

Step-by-step explanation:

Given that :

Diameter of Smaller canister = 9 cm

Height of Smaller canister = 12 cm

Larger canister is double the size of smaller one i.e. height and diameter are doubled.

To find:

Volume and surface area of each canister and their comparison.

Solution:

First of all, let us have a look at the formula of volume and surface area of a cylinder.

Volume, $V=\pi r^2h$

Surface Area, $A=2\pi r^2+ 2\pi rh$

where r and h are the radius and height of the cylinder respectively.

Radius is half of diameter.

Radius of smaller canister is given by:

$r_1 = \dfrac{9}{2} = 4.5\ cm$

Height, $h_1 =12\ cm$

Volume, $V_1=\pi (4.5)^2 \times 12 = 763.02\ cm^3$

Surface Area, $A_1 = 2 \pi \times 4.5 ^2 + 2\pi\times 4.5 \times 12 = 466.29 \ cm^2$

Now, Diameter / Radius and height of larger canister are doubled of smaller one.

Radius of larger canister is given by:

$r_2 = \dfrac{9}{2} \times 2 = 9 cm$

Height, $h_2 =12\times 2 = 24\ cm$

Volume, $V_2=\pi (9)^2 \times 24 = 6104.16\ cm^3$

Surface Area, $A_2 = 2 \pi \times 9 ^2 + 2\pi\times 9\times 24= 1865.16 \ cm^2$

Comparing the results, we can easily see that:

$V_2 = 8 \times V_1\\A_2 = 4 \times A_1$

i.e. Volume becomes 8 times by doubling the size and surface area becomes 4 times by doubling the size.

5 0

4 years ago

Which of the following is a solution of x^2-7x=5

Contact [7]

Answer:

x=

7

2

+

1

2

√69 or x=

7

2

+

−1

2

√69

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

x2−7x−5=5−5

x2−7x−5=0

Step 2: Use quadratic formula with a=1, b=-7, c=-5.

x=

−b±√b2−4ac

2a

x=

−(−7)±√(−7)2−4(1)(−5)

2(1)

x=

7±√69

2

x=

7

2

+

1

2

√69 or x=

7

2

+

−1

2

√69

6 0

4 years ago

Jock decided to swim 10 km up Bega River. He swam 2 km every hour, then floated on his back for 10 minutes. Each time he floated

lara31 [8.8K]

Effectively Jock gets 1km further every round of 1:10 hrs. After 8 rounds he has reached 8km (after just having floated back from 9 to 8). The next round he completes the journey without floating.

So total 9 hours of swim and 8*10 minutes of float, that's 10 hours and 20 minutes.

3 0

3 years ago

How much warmer is 72 than -49?

TiliK225 [7]

Answer:

<h3>72 degrees is way warmer than -49 </h3>

Step-by-step explanation:

<h3>I know this because -49 is cold </h3>

5 0

3 years ago

Read 2 more answers

The volume of a right cylinder is 3,600Tt cubic centimeters, and the

Blizzard [7]

Answer:

Radius of cylinder is r = 8.464 cm

Step-by-step explanation:

Volume of right cylinder = 3600 cm³

Height of cylinder = 16 cm

Radius of cylinder = ?

The formula used is: $Volume= \pi r^2h$

Putting values and finding radius

$Volume= \pi * r^2 *h\\3600=3.14*r^2*(16)\\3600=50.24*r^2\\r^2=\frac{3600}{50.24}\\r^2=71.65\\\sqrt{r^2}=\sqrt{71.65}\\r=8.464 \ cm$

So, Radius of cylinder is r = 8.464 cm

8 0

3 years ago