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jekas [21]
3 years ago
15

What is the area of point ?

Mathematics
1 answer:
Fed [463]3 years ago
7 0

Answer:

314 cm²

Step-by-step explanation:

It's not the point O, but the circle O, a point has no area.

The area of a circle is given by the formula A = π r²

We don't have r (radius), but we have the diameter, which is double the radius.  So, r = d / 2 = 20 cm / 2 = 10 cm

Now, we can plug r directly into the equation:

A = π r² = π 10² = 100π = 314 cm²

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Sarah deposits $600 in a savings account that pays 2.5% per year. What is the minimum number of years it would take for the amou
shutvik [7]
Here is the compound interest formula solved for years:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
</span>Years = {log(800) - log(600)} <span>÷ log(1.025)
</span><span>Years = {2.903089987 -2.7781512504} / 0.010723865392
</span>Years = { <span> <span> <span> 0.1249387366 } / </span></span></span><span><span><span>0.010723865392
</span> </span> </span> Years = <span> <span> <span> 11.6505319708 </span> </span> </span>
That's how many years it takes for the $600 to become exactly $800.00
The question specifically asks how long for the money to be MORE than $800.00?

So, if we enter 800.01 into the equation, then the answer is
Years = {log(800.01) - log(600)} <span>÷ log(1.025)
</span><span>Years = {2.9030954156 -2.7781512504} / 0.010723865392
</span>Years = <span> <span> <span> 0.1249441652 </span> </span> </span> / 0.010723865392
<span> <span> <span> Years = 11.6510381875 </span> </span> </span>
<span><span> </span></span>












6 0
3 years ago
Find the area of a triangle with a base of 10 meters and a height of 6 meters
Deffense [45]
A = (1/2)bh  [b = 10 m, h = 6 m]

A = (1/2) * 10 * 6 = 30 m²
5 0
3 years ago
Read 2 more answers
Use the identity (x+y)(x−y)=x2−y2 to find the difference of two numbers if the sum of the numbers is 12 and the difference of th
Natalka [10]

Answer:

The difference of two numbers using identity (x+y)(x-y)=x^2-y^2 is 4.

Step-by-step explanation:

Given:  The sum of the numbers is 12 and the difference of the squares of the numbers is 48.

To find the difference of two numbers using identity (x+y)(x-y)=x^2-y^2

Let the two numbers be a and b, then

Given that the sum of the numbers is 12

that is a + b = 12 .........(1)

Also, given the difference of the squares of the numbers is 48.

that is a^2-b^2=48     ..........(2)

Using given identity  (x+y)(x-y)=x^2-y^2

We have (a+b)(a-b)=a^2-b^2

Substitute the known values, we have,

12(a-b)=48

Divide both side 12 , we have,

(a-b)=4

Thus, the difference of two numbers using identity (x+y)(x-y)=x^2-y^2 is 4.

8 0
3 years ago
Read 2 more answers
The measure of two angles are shown in the
madam [21]

Answer:

The measure of two angles are shown in the diagram. 4x - 11 2x + 5 Which equation can be used to find the value of x? A. 6x - 6 = 180 X. 6 x + 64 = 180 B. 6x - 6 = 360 D. 6x + 84 = 180

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7 0
3 years ago
Two quantities vary inversely. If the value of the first is 15 when the value of the second is 18, find the value of the second
vovikov84 [41]

Answer:

The value of second quantity is 27

Step-by-step explanation:

Inverse variation can be represented by the equation xy=k or y = \frac{k}{x} i.e,

y varies inversely as x , if there is some nonzero constant k such that, xy =k or y = \frac{k}{x} where  x≠0 and y≠0.

Given: Two quantities vary inversely.

Let x be the first quantity and y be the second quantity if they  vary inversely.

then, by definition of inverse variation;

y = \frac{k}{x}            .....[1]

Substitute the value of x=15 and y=18 to solve for k;

18= \frac{k}{15}

Multiply both sides by 15 we have;

15\times 18=15 \times \frac{k}{15}

Simplify:

k=270

now, find  the second quantity y using same method when x=10.

then;

after substituting the value of x=10 and k=270 in [1] ;

y = \frac{270}{10}

Simplify:

y= 27

Therefore, the second quantity value i.e,y = 27



7 0
3 years ago
Read 2 more answers
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