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Radda [10]
3 years ago
14

The sector of a circle is shown below. It has a radius of 10 centimeters and a central

Mathematics
1 answer:
disa [49]3 years ago
5 0

Answer:

1) 8.9 cm

2) 44.5 cm^2

Step-by-step explanation:

a) we want to calculate the length of the arc

Mathematically, we use the formula for the length of an arc

That will be ;

theta/360 * 2 * pi * r

theta = central angle = 51

r is radius = 10 cm

so we have ;

51/360 * 2 * 22/7 * 10 = 8.9 cm

2) The area of the sector is;

theta/360 * pi * r^2

51/360 * 22/7 * 10^2

= 44.5 cm^2

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Sindrei [870]
The 8th term is 33 and I don't think any of the options are there
7 0
3 years ago
What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
motikmotik

The amount will be equal to $1348.07. The correct option is A.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

\rm A = P(1+\dfrac{r}{n})^{nt}

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

\rm A = P(1+\dfrac{r}{n})^{nt}

\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

To know more about Compound interest follow

brainly.com/question/24924853

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3 0
2 years ago
Determine which of the values is a solution of 14&gt;22−2z. My options are 2, 5, 7, 3, -4, 0
ivann1987 [24]

Answer:

I think -4

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP,, MARKING BRAINLIEST!!!<br><br> Solve for the value of x.
iris [78.8K]

Answer:

\huge\boxed{\sf x = 37}

Step-by-step explanation:

We know that,

The sum of interior angles of a triangle is 180 degrees.

So,

2x + 4 + 2x - 9 + x = 180

5x - 5 = 180

Add 5 to both sides

5x = 180 + 5

5x = 185

Divide both sides by 5

x = 185 / 5

x = 37

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
3 0
3 years ago
Solve for x.<br> -7/8x=-5<br> Ox= 4 3/8<br> Ox=-4 3/8<br> Ox=5 5/7<br><br> Help please
Artemon [7]

Answer: x=5\frac{5}{7}

Step-by-step explanation:

-\frac{7}{8} x=-5

multiply both sides by -\frac{8}{7}

(-\frac{8}{7})( -\frac{7}{8}) x=-5(-\frac{8}{7} )\\x=\frac{40}{7\\}\\x=5\frac{5}{7}

6 0
3 years ago
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