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Nikolay [14]
3 years ago
11

Calculate the angle of a sector of 50° and a radius of 4cm

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer: 20π/9 cm²

Step-by-step explanation:

Central angle is given as = 50°

We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.

Area of the sector = 5/36 × πr².

= 5/16 × π × 4²

= 5/36 × π × 16

= 80π/36

= 20π/9 cm²

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A $104,000 selling price with $24,000 down at 8 1/2% for 25 years results in a monthly payment of
jolli1 [7]
\bf \qquad \qquad \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]

\bf \begin{cases}
P=
\begin{array}{llll}
\textit{original amount}\\
\end{array}\to &
\begin{array}{rllll}
104000\\
-24000\\
-----\\
80000
\end{array}\\
pymt=\textit{periodic payments}\\
r=rate\to 8\frac{1}{2}\%\to \frac{8\frac{1}{2}}{100}\to &0.085\\
n=
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6 0
3 years ago
Adult male lion weights are normally distributed, with a mean of 420 pounds and a standard deviation of 17 pounds. Approximately
SVETLANKA909090 [29]

Answer:

3.92%

Step-by-step explanation:

First calculate Z:

Z= (x - mean)/(st. dev.) \\Z = (450 - 420)/17 \\Z= 1.76

The percentage for a Z of 1.76 is 96.08%.

That means that all lions up to Z = 1.76 are equivalent to 96.08% but you are searching for the lions above Z = 1.76, then 100 - 96.08 = 3.92%

6 0
3 years ago
Read 2 more answers
Plz help lol i need to pass a lesson on ttm
DENIUS [597]

Answer:

she rode for 5 hours

Step-by-step explanation:

hope that helped and good luck

3 0
2 years ago
1/9 and 1/8 closer to 0,0.5 or 1
pentagon [3]

Answer;

they are both closer to 0

Step-by-step explanation:

9/9= 1

4/9= approximately 0.5

8/8= 1

4/8= 0.5  


6 0
3 years ago
When Natalie finishes drawing the large triangle on the poster board, what will be the approximate measure of side BC? Round to
gtnhenbr [62]

Answer:

31 cm

Step-by-step explanation:

The complete question is attached.

A triangle is a polygon with three sides (three edges and three vertices). There are different types of triangles which are equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.

An equilateral triangle is a triangle in which all its sides are equal and all its angles are equal to 60°.

From the triangle, AB = BC = AC = 9.5 cm

Since the triangle is enlarged 3.25 times, hence:

new length of BC = 9.25 cm × 3.25 = 30.875

New length of BC = 31 cm to nearest cm

7 0
3 years ago
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