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kiruha [24]
3 years ago
13

The image below is a triangle drawn inside a circle with center O:

Mathematics
2 answers:
Alex17521 [72]3 years ago
8 0
The area of a circle is,

\pi \:  \times r ^{2}

So pi times the radius squared.

~~

To find the radius we half to divide the diameter by 2 since the radius is half of the diameter.

The diameter is the line that passes through the the center of the circle going from one side of the circle to the other which is 4 in this case.

Half of 4 is 2 meaning 2 is our radius.

~~

Plug in the numbers and get,

3.14 \times 2^{2}

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
galina1969 [7]3 years ago
8 0

Zoey answer is correct, give her brainliest

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A science teacher has a supply of 5% hydrochloric acid and a supply of 65% hydrochloric acid(HC1). How much of each solution sho
Sphinxa [80]
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.

We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II

We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)


We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III

Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml

Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml

Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
6 0
3 years ago
PLEASE HELP ME OUT!!
SVEN [57.7K]

Answer:

i believe its C

Step-by-step explanation:

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Ostrovityanka [42]

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(b) Base: 7

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Solve the system of equations by the addition method.

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X = 1


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6x + y = 0
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