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Luden [163]
2 years ago
15

FIND THE AREA OF THE SECTOR 15 points

Mathematics
1 answer:
ale4655 [162]2 years ago
4 0

Answer:

<u>2.1 m²</u>

Step-by-step explanation:

<u>Area of Sector</u>

  • πr² x α/360°
  • 3.14 x 8 x 30/360
  • 25.12 x 1/12
  • 2.09333333
  • <u>2.1 m²</u> (nearest tenth)
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How much did you invest if you earned $131.60 in interest at a rate of 4% for seven years?
Ket [755]

The amount invested is $ 470

<h3><u>Solution:</u></h3>

Given that ,  we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.

We have to find the amount invested.  That is, we need to find the principal sum

Let us use the simple interest formula

<em><u>The simple interest is given as:</u></em>

\text { Simple interest }=\frac{p r i n c i p a l \times \text {rate of interest } \times \text {number of years}}{100}

Here, simple interest = $ 131.60

Rate of interest = 4 %

Number of years = 7

principal = ?

Substituting the values in formula, we get

\begin{array}{l}{131.6=\frac{\text { principal } \times 4 \times 7}{100}} \\\\ {131.6 \times 100=\text { principal } \times 4 \times 7} \\\\ {13160=\text {principal } \times 28} \\\\ {\text {Principal }=470}\end{array}

Thus the amount invested is $ 470

4 0
3 years ago
I need help with number 13, PLEASE. Extra points!
gladu [14]

Answer:

90°, 270°

Step-by-step explanation:

2r sin(Ф/2) = c

2r sin (Ф/2) = √2r

divide both sides by 2r

sin (Ф/2) = √2r/2r

sin(Ф/2) = √2/2

From the unit circle sin is √2/2 at 45°, and 135°

so Ф/2 = 45

Ф=90°

and Ф/2 = 135

Ф= 270°

5 0
3 years ago
Find the slope of -y=-1x+0
DIA [1.3K]

Answer:

1

Step-by-step explanation:

Hope this helps

8 0
3 years ago
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Find all the roots of the equation x4 - 2x3 + 14x2 - 18x + 45 = 0 given that 1 + 2i is one of its roots.
patriot [66]
Asked and answered elsewhere.
brainly.com/question/10192511


Knowing that 1+2i is a root, you also know that 1-2i is a root, so one quadratic factor is
   (x -1)² -(2i)² = x^2 -2x +5

Long division of the given polynomial by this quadratic gives a quotient of 
  x² +9
which has roots ±3i.

Then all the roots are {-3i, 3i, 1-2i, 1+2i}.
7 0
3 years ago
Convert the angle 0=23/20 radians to degrees,
MrRa [10]

Answer:

207°

Step-by-step explanation:

3 0
3 years ago
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