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garri49 [273]
2 years ago
10

N a circle with a radius of 2.8 cm, an arc is intercepted by a central angle of π5 radians. what is the arc length? use 3.14 for

π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box.
Mathematics
2 answers:
Vilka [71]2 years ago
8 0
By definition, the arc length is given by:
 arc = (theta) * (R)
 Where,
 theta: central angle
 R: radius
 Substituting values we have:
 arc = (π / 5) * (2.8)
 Rewriting we have:
 arc = ((3.14) / 5) * (2.8)
 arc = 1.7584 cm
 Round to the hundredth:
 arc = 1.76 cm
 Answer:
 
the arc length is:
 
arc = 1.76 cm
kogti [31]2 years ago
8 0

Answer:

1.76 is your answer

i just took the test :) have a blessed day <3

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A container has the shape of an open right circular cone, as shown. The height of the container is 10 cm and the diameter of the
SVETLANKA909090 [29]
A) Volume = (1/12)pi*h^3, with height = 5cm. 

<span>b) You should be able to differentiate V = (1/12)pi*h^3 with respect to h, and you were given dh/dt = -0.3 cm/hr. 
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does that make sense?
5 0
2 years ago
Consider this claim: Changes in environmental conditions always result in new ecosystems and loss of biodiversity characterized
Dafna11 [192]

Answer:

If a desert became flooded, some species would immeadiately go extinct, distrupting the ecosystem, biodiversity, and the food web. This flood might cause new species to enter the ecosystem as well, through means such as rafting. Other species would be forced to adapt to the new environment, leading to adaptation and possibly speciation. For a time the ecosystem would not be very stable, but after a relatively short time, 10 or 20 years, the ecosystem could stabilize itself. So my conclusion is that ecosystems are relatively fluid, they can adapt to almost anything if they have enough time and the change in environment isn’t too drastic.

Step-by-step explanation:

4 0
2 years ago
For commission as a realtor, Michelle earns $349 plus 3% of the purchase price for each home she helps buy or sell. If she earne
Papessa [141]

Well, let us solve this step by step.

We know that Michelle earns 349 plus 3% of the Purchase price. Let us call the Purchase price as P, so that:

 

Earnings, E = 349 + 0.03 P

 

So if she earns 8,965 (E = 8,965) so we can find P:

 

8,965 = 349 + 0.03 P

0.03 P = 8,616

P = $287,200

8 0
2 years ago
The price of an article is Rs 1200 and a customer pays Rs 1380 with VAT. Find the rate of VAT​
garik1379 [7]

Answer:

15%

Step-by-step explanation:

vat amount

= 1380 - 1200

=180

finding the rate of vat

= 1380/1200 *100

= 115%

NB : the 115% shows that 1200 8 115% = 1380 , this give total amount including vat , we only want vat hence we have to deduct the 100% which indicates the amount of article)

hence 115 - 100 = <u>15%</u>

15% * 1200= 180

8 0
2 years ago
Hikers came across a part of a redwood stump. If the length of the chord is 8 feet, what was the diameter of the tree?
erastova [34]
So in the problem, the length of the chord there is the circumference of the tree. So in order to get the diameter of the tree, we must use the formula in getting the circumference of a circle that is stated as follows. 

C = 2pi *Radius

so first we need the get the radius of the tree which represent by this formula:

Radius = C /2pi = 8/6.2832 = 1.2732 ft 
Diameter = 2*radius = 2 * 1.27 32 = 2.5465 feet 

In summary, the diameter of the tree is 2.565 feet. 


7 0
1 year ago
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