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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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Why do we use congruence?
NARA [144]

For people to comprehend the structure of their world, congruence is a crucial mathematical concept. Young children's daily interactions with congruence enable them to build innate perceptions of this geometric relationship.

Congruent:

If the size and shape of two triangles are same, they are said to be congruent. Three equal sides and identical angles are shared by two congruent triangles with regard to one another. Corresponding Parts of Congruent Triangles are Congruent is referred to by the theorem CPCTC. According to the CPCTC theorem, whenever two triangles are congruent, then each of their corresponding parts are also congruent. In other words, if two or more triangles are congruent, then their corresponding sides and angles are also congruent or equivalent in size.

To learn more about congruent visit: brainly.com/question/12413243

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8 0
1 year ago
What is an equation of the line that passes through the point (5,-8) and is
Schach [20]

Answer:

Step-by-step explanation:

-4y = -5x + 16

4y = 5x - 16

y = 5/4x - 4

perp. -4/5

y + 8  = -4/5(x - 5)

y + 8 = -4/5x + 5

y = -4/5x - 3

8 0
3 years ago
April shoots an arrow upward into the air at a speed of 64 feet per second from a platform that is 11 feet high. The height of t
kogti [31]

Answer:

Maximum height of the arrow is 203 feets

Step-by-step explanation:

It is given that,

The height of the arrow as a function of time t is given by :

h(t)=-16t^2+64t+11..........(1)

t is in seconds

We need to find the maximum height of the arrow. For maximum height differentiating equation (1) wrt t as :

\dfrac{dh(t)}{dt}=0

\dfrac{d(-16t^2+64t+11)}{dt}=0

-32t+64=0

t = 2 seconds

Put the value of t in equation (1) as :

h(t)=-16(2)^2+64(2)+11

h(t) = 203 feet

So, the maximum height reached by the arrow is 203 feet. Hence, this is the required solution.

8 0
4 years ago
Which situation can be modeled by the inequality 3x+5≥12]?
choli [55]
The answer is the last one with Amir as the 5 is the extra, and the 3 is multiplied by x or in this case days, and it is at least not equal.
4 0
3 years ago
Geometry worksheet plz help
8_murik_8 [283]

Answer:

a) 1,5  2,6  3,7  4,8

b) 3,6  5,4

c) 1,8  7,2

d) 3,5  4,6

Step-by-step explanation:

just use the examples on top

5 0
3 years ago
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