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1 year ago

What is the approximate area of the shaded sector in the circle shown below?

Mathematics

1 answer:

Anton [14]1 year ago

3 0

Answer:

The approximate area is A) 5.09cm²

Step-by-step explanation:

Area of a Circle = πr²

r = 1.8

Plug in our values

π(1.8cm²)

Evaluate the area of the entire circle

a = π(1.8cm²)

a = π(3.24cm)

a = 10.179cm²

Area of a sector, with the area of the circle of the sector being a = theta/360 * a

Evaluate the area of the sector

180/360*10.719cm²

0.5 * 10.179cm²

5.0895cm²

Round the value up

5.09cm²

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Is 582 an even number

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Answer:

Yes

Step-by-step explanation:

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2 years ago

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As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports the

Nina [5.8K]

Answer:

Total = 36%

Step-by-step explanation:

Given

Company A = 0.15

Company B = 21%

Required

Determine the total revenue

Total is calculated as thus:

Total = Company A + Company B

Total = 0.15 + 21%

Represent 0.15 as %

Total = 0.15*100% + 21%

Total = 15% + 21%

Total = 36%

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2 years ago

Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u

salantis [7]

$\bf u\implies 
\begin{cases}
(-7,2)\\
(11,5)
\end{cases}\implies [11-(-7)]~,~[5-2]\implies (11+7)~,~(5-2)
\\\\\\
\stackrel{\textit{component form}}{\ \textless \ 18~,~3\ \textgreater \ }\\\\
-------------------------------\\\\
||u||=\sqrt{18^2+3^2}\implies ||u||=\sqrt{333}\implies ||u||=\sqrt{9\cdot 37}
\\\\\\
||u||=\sqrt{3^2\cdot 37}\implies ||u||=3\sqrt{37}\\\\
-------------------------------$

$\bf \ \textless \ -18~,~-3\ \textgreater \ \impliedby \textit{opposite vector to \underline{u}}
\\\\\\
3\cdot 3\sqrt{37}\implies 9\sqrt{37}\impliedby \textit{3 times the magnitude of \underline{u}}
\\\\\\
3\ \textless \ -18,-3\ \textgreater \ \implies \stackrel{\textit{component form of "v"}}{\ \textless \ -54~,~-9\ \textgreater \ }\impliedby \textit{3 times as long as \underline{u}}$

7 0

2 years ago

Read 2 more answers

What is the approximate area of the figure?

melisa1 [442]

Option D:

The approximate area of the figure is 109.6 square feet.

Solution:

The figure is splitted into three shapes.

One is rectangle and the other two is semi-circles.

Diameter of the semi-circle = 5 feet

Radius of the semi-circle = 5 ÷ 2 = 2.5 feet

Area of the semi-circle = $\frac{1}{2}\pi r^2$

$$=\frac{1}{2}\times 3.14\times (2.5)^2$

Area of the semi-circle = 9.8 square feet

Area of 2 semi-circles = 2 × 9.8

Area of 2 semi-circles = 19.6 square feet

Length of the rectangle = 18 feet

Width of the rectangle = 5 feet

Area of the rectangle = length × width

= 18 × 5

Area of the rectangle = 90 square feet

Area of the figure = Area of 2 semi-circles + Area of the rectangle

= 19.6 square feet + 90 square feet

= 109.6 square feet

The approximate area of the figure is 109.6 square feet.

Hence Option D is the correct answer.

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2 years ago

Error Analysis your friend evaluate (10-5)/5 and gets 9 for an answer. Explain your friend's error

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Answer:

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3 years ago