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Dafna1 [17]
3 years ago
6

What is the approximate base area of the resulting figure? Area of a circle: A = πr2

Mathematics
2 answers:
Annette [7]3 years ago
6 0
I think if you rotated that shape, the radius would be 5 in.  
Using A=pi*r^2:
A=pi*5^2
A=78.5 sqr in.

Or 79 sqr in, if you round to the nearest whole number.
11Alexandr11 [23.1K]3 years ago
3 0

Answer:   78.5\ cm^2

Step-by-step explanation:

From the given we can see that there is a  rectangle is rotated about a line bisecting its length in segment of 5 cm in each.

Since the base will be a circle, then the area of the base will be :-

\text{Area of base}=\pi r^2\\\\\\\Rightarrow\text{Area of base}=3.14\times(5)^2\\\\\\\Rightarrow\text{Area of base}=78.5\ cm^2

Hence, the base area of the resulting figure = 78.5\ cm^2

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Svetlanka [38]
The volume of the prism is calculated by multiplying the length, L, width,W, and depth or height, H. 
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Fish tank:
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                                     = 31250 cm³
Depth of the water in tank (with castle - without castle)
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6 0
3 years ago
The sum of two numbers is -9. The difference of the two numbers is -41. What are the two numbers?
Nataly [62]

Answer:

the two numbers are 16 and -25

Step-by-step explanation:

Let the two numbers be x and y

x+y=-9

x-y=-41

By substitution

y=-9-x

x-(-9-x)=-41

x+9+x=-41

2x=-41-9

2x=-50

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6 0
3 years ago
The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th
makvit [3.9K]

Answer:

<u><em>k = 0.2645</em></u>

Step-by-step explanation:

Given model:

y = 4070 e^{kt}

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070  e^{3k}

\frac{9000}{4070} = e^{3k}

\frac{900}{407}=e^{3k}

<u><em>Taking natural logarithm on both sides, we get:</em></u>

ln\frac{900}{407}=ln(e^{3k})

ln\frac{900}{407}= 3k ln<em>e</em>

ln<em>e</em>=1

ln \frac{900}{407}= 3k

or k = \frac{1}{3}ln\frac{900}{(407)}

k =\frac{1}{3}(0.7936)

<em>k = 0.2645</em>

<em />

7 0
3 years ago
Which of the following equations is used to find the value of c?
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Answer:

D. a^{2} + b^{2} = c^{2}

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