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3 years ago

Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

4 0

Answer:

A ≈ 153.94 meters

Step-by-step explanation:

area area equals pi r squared. radius is half of the diameter. Half of 14 meters is 7 meters.

7 meters pi r squared is about 153.94 meters.

that would be my answer

Schach [20]3 years ago

4 0

Answer:

The area of the circle is $153.94meters^2$

Step-by-step explanation:

The formula for the area of a circle is : $\pi *radius^{2}$

To work this out you would first need to divide the diameter of 14 by 2, this gives you 7. This is in order for us to calculate the radius. The radius of a circle is the length from one side to the centre.

Now that we know the radius the next step is to multiply pi by the radius of 7 squared, this gives you 153.94. This is because in order for you to calculate the area you would substitute the values into the formula.

1) Divide 14 by 2.

$14/2=7$

2) Multiply pi by 7 squared.

$\pi *7^2=153.94 meters^2$

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Monica [59]

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

$A = P(1 + \frac{r}{n})^{nt}$

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

$A = 275(1 + \frac{0.029}{0.5})^{0.5*4}$

$A = 275(1 + 0.058)^{2}$

$A = 275(1.058)^{2}$

$A = 275(1.1194)$

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

5 0

3 years ago

4-(2x-3)=3 what is value of x

VARVARA [1.3K]

Answer:

x=2

Step-by-step explanation:

4-(2x-3)=3

2x-3=4-3

2x-3=1

2x=1+3

2x=4

x=4/2

x=2

4 0

4 years ago

I want help its urgent!!! <br><br>(iv), (v), (vi) Questions

Artist 52 [7]

Solution:

iv) Given equation: $x^{2} - y^{2} - 4x - 2y + 3$

Since we are given two variables, we need to split the original expression into two quadratic expressions as

$x^{2} - 4x + 4 - y^{2} - 2y - 1$

Factoring x first:

$x^{2} - 4x + 4 =$ $x^{2} - 2x - 2x + 4$

= $x (x - 2) - 2 (x-2)$

= $(x-2)(x-2)$

$= (x-2)^{2}$

Factoring y now:

$-y^{2} - 2y - 1 = -1(y^{2} + 2y + 1)$

= $-1(y^{2} + y + y + 1)$

= $-1[ y(y+1) + 1(y+1)]$

= $-1 [(y+1)(y+1)]$

= $(y+1)(-y-1)$

Therefore, the original expression becomes

$(x-2)^{2}+(y+1)(-y-1)\\or \\(x-2)(x-2) + (y+1)(-y-1)$

7 0

3 years ago

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Rudik [331]

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4 0

3 years ago

Evaluate the determinant for the following matrix: -4 -4 -3

expeople1 [14]

A suitable calculator finds the determinant to be ...

... B. -203

_____

This can be calculated by hand by copying the first two columns to the right of the given matrix, then forming the sum of products of the downward diagonals and subtracting the sum of products of the upward diagonals.

... (-4)(3)(-5) +(-4)(-5)(-5) +(-3)(3)(2) -(-5)(3)(-3) -(2)(-5)(-4) -(-5)(3)(-4)

... = 60 -100 -18 -45 -40 -60

... = -203

3 0

4 years ago