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sergiy2304 [10]
3 years ago
15

A lid on a circular container has a diameter of 9 cm. What is the approximate area of the lid? Use 3.14 to approximate pi and ro

und your answer to the nearest hundredth.
_______ cm2
Mathematics
2 answers:
patriot [66]3 years ago
8 0
Hi there, A=1/4πd²=1/4*π*9²=63.61725cm², that would round to 63.62cm². Therefore, the answer would be 63.62 cm²
kkurt [141]3 years ago
7 0
Area=pir^2

diameter/2=radius
diameter=9
d/2=9/2=4.5=r

area=pi4.5^2
area=pi20.25
aproxpi=3.14
area=63.585
round hundreth
area=63.59

answer is 63.59cm^2
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The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
3 years ago
Whats the lcd of 1/7,14/17,12/13,5/6
gizmo_the_mogwai [7]
LCD (1/7, 14/7, 12/13, 5/6)

LCM = (7, 7, 13, 6)

=  2 * 3 * 7 * 13

=  546



1/7  = 78/546

14/7  = 1092/546

12/13  = 504/546

5/6  = 455/546




Calculation:

1/7 + 14/7 

= 1 + 14/7

=  15/7


The common denominator you can calculate as the least common multiple of the both denominators:   LCM (7, 7) = 7


Add:

15/7 + 12/13 

= 15 . 13/7. 13  + 12 . 7/13 . 7

= 195/91 + 84/91

=  195 + 84/91 

=  279/91


The common denominator you can calculate as the least common multiple of the both denominators:  LCM (7, 13) = 91



Add:

279/91 + 5/6

= 279 . 6/91 . 6 + 5 . 91/6. 91

= 1674/546 + 455/546

= 1674 + 455/546 

= 2129/546



The common denominator you can calculate as the least common multiple of the both denominators:  LCM (91, 6) = 546



Hence, 546 is the LCM/LCD of (1/7, 14/17, 13/13, 5/6).






Hope that helps!!!!!!


3 0
3 years ago
Marcus changed jobs after college. His old salary was $48000 per year. Now his new salary is 37% more per year. What is his new
spayn [35]

Answer:

65,760

Step-by-step explanation:

move decimal over two places to make a percent a decimal so .37

then multiply that times the 48000 to get 17,760 and then add that to the original 48000 to get 65,760

8 0
2 years ago
8:10 = 2:5<br> Is a true proportion?<br><br> O Yes<br> O No
Marina86 [1]

Answer:

Step-by-step explanation:

it is not.

7 0
3 years ago
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A card is drawn from a stands 52 card deck what is the probability that the card is a red card, or that it is a ten of clubs or
marusya05 [52]

Answer:

d. 15/26

Step-by-step explanation:

5 0
3 years ago
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