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melamori03 [73]
3 years ago
6

When a circular plate is heated in an oven, its radius increases at the rate of 0.01 cm/min. At what rate is the plate’s area in

creasing when the radius is 50cm? Be sure to include units in your answer.
Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer:

3.14 cm²/min

Step-by-step explanation:

rate of increasing of radius, dr/dt = 0.01 cm/min

r = 50 cm

Area of plate, A = πr²

rate of increase of area

dA/dt = 2πr dr/dt

dA/dt = 2 x 3.14 x 50 x 0.01

dA/dt = 3.14 cm²/min

Thus, the increase of rate of area is 3.14 cm²/min.

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Store a sells 12 bottles of water for 3.36 store b sells 24 bottles of water for 6.00 How much more Willa customer pay for 48 bo
Nataly_w [17]

Answer:

$1.44

Step-by-step explanation:

<u>Store A:</u>

12 bottles of water for $3.36

Then

48 bottles of water for \$3.36\cdot 4=\$13.44 (48 bottles is 4 times greater than 12 bottles)

<u>Store B:</u>

24 bottles of water for $6.00

Then

48 bottles of water for \$6.00\cdot 2=\$12 (48 bottles is twice greater than 24 bottles)

<u>Difference:</u>

\$13.44-\$12=\$1.44

6 0
3 years ago
A baby girl weighed 18 lb 10 oz at 11 months and 20 lb 2 oz at 12 months. How much weight did the baby gain during this month?
SVEN [57.7K]

Answer:

B

Step-by-step explanation:

6 oz, 19lb

1 lb, 20lb

2 oz, 20lb 2oz

6oz+2oz+1lb= 1lb 8oz

4 0
3 years ago
The following set of coordinates represent which figure (1,1) (5,3) (7,7) (3,5)
igomit [66]

Answer:

It should be a rhombus :)

4 0
3 years ago
Pls help - Left 1 day
aalyn [17]

Answer:

31

Step-by-step explanation:

it said 22 2's , so 22 + 9

and 0,1,3,4,5,6,7,8,9 is 9 numbers

7 0
2 years ago
Read 2 more answers
Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave
USPshnik [31]

Answer:

Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be x.

And the time Julio travel by walking be y.

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

x+y=7

y=7-x\ \ \ .......(1)

So, the distance travelled by bike:

Speed × time

8\times x=8x

And, the distance travelled by walking:

Speed × time

7\times y=7y

Now, the total distance travelled by Julio:

8x+7y=52

Substituting the value of x from equation (1) we get:

8x+7(7-x)=52

8x+49-7x=52\\\\x+49=52

<em>Subtracting both sides by 49 we get:</em>

x=3.

<em>The time Julio travelled with bike = 3 hours.</em>

Now, to get the time Julio travelled by walking by substituting the value of x:

y=7-x\\\\y=7-3\\\\y=4\ hours.

<em>The time Julio travelled by walking = 4 hours.</em>

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0
3 years ago
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