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jolli1 [7]
2 years ago
12

a 50 centermeter piece of wire is bent into a circle what is the area of this circle round to the nearest whole number use 3.14

for pie ​
Mathematics
2 answers:
VikaD [51]2 years ago
6 0
When a wire is bent to form a circle then its length represents the circumference of the circle formed. Therefore in our case the circumference of the circle is 50 cm. we can use this to determine the radius of the circle and then determine the area. Circumference of a circle is given by \pi × diameter, (\pi = 3.142)
thus diameter will be given by 50 cm ÷ 3.142 = 15.9134 cm
the radius will be 15.9134 ÷2 = 7.9567 cm or ≈ 7.96 cm
The area of a circle is given by \pi × square of radius
Area = 3.142 × 7.96×7.96 = 199.0821 square cm
Thus the area of the circle formed is ≈ 199.08 square cm ( 2 decimal places)
Llana [10]2 years ago
3 0

Answer:

The answer would be: 199.08 cm^2

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Strawberries cost $2 per pound. Kate buys 5 pounds and gets 20% discount on the total cost. How much does Kate pay for the straw
Tema [17]

The total cost without the discount is given by:

C = (2) * (5)\\C = 10$

Then, to find the discounted amount, we make the following rule of three:

10 $ ------------------> 100%

x ----------------------> 20%

From here, we clear the value of x.

We have then:

x = (\frac{20}{100}) * (10)\\x = 2

Then, the cost of the Strawberries with the discount is:

10 - 2 = 8 $

Answer:

Kate pays for the strawberries about $ 8.

3 0
3 years ago
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Please help asap 25 pts
guajiro [1.7K]

D because the y-intercept is at -5 like shown in the equation, and the slope equals to 1, and I do believe that the bold line means that it is less than or equal to, just like the equation says.

3 0
3 years ago
The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth
Art [367]

Answer:

a) N_0=250\; k=0.15

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies t=0. And N(0)=N_0. The process is:

N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250

b) After 2 days means t=48. So, we just replace and operate:

N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}

c) N(t_1)=4000; \;t_1=?

N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\  \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h

d) t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)

N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h

6 0
3 years ago
A bag contains 5 red balls, 3 green balls, and 2 yellow balls. Find the sum of the probability of drawing a red ball, replacing
zalisa [80]
D would be the most reasonable because the whole set up adds up to 10 and you only have a chance of drawing all of the colors in a row

7 0
3 years ago
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What is the value of 2x to the third power+4x to the second power 3x to the second power-6x when x=3?
jek_recluse [69]
Hi! So to solve for these, all you have to do is keep PEDMAS in mind. For example, for 2x^3 (Just a fancy way of writing "to the third power") first plug in 3: 2(3)^3 and take it to the third power because E (exponent) comes before M (multiplication) in PEDMAS. You should get 2(27) which then equals 54. Hope this helps:)
4 0
3 years ago
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