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3 years ago

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:
Years = {log(total) -log(Principal)} ÷ log(1 + rate)
Years = {log(800) - log(600)} ÷ log(1.025)
Years = {2.903089987 -2.7781512504} / 0.010723865392
Years = { 0.1249387366 } / 0.010723865392
 Years = 11.6505319708 
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)} ÷ log(1.025)
Years = {2.9030954156 -2.7781512504} / 0.010723865392
Years = 0.1249441652 / 0.010723865392
 Years = 11.6510381875

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

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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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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,