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3 years ago

Find area of a quadrant of a circle whose radius is 3.5 cm.

Mathematics

1 answer:

kati45 [8]3 years ago

4 0

Area of full circle= πr^2

Area of a quadrant= πr^2/4

=(3.5)^2π/4

=12.25π/4

=3.06πcm squared.

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I need help with this problem. Given: BC = 10 inches AC = √50 inches m∠CBD = 60° m∠CAD = 90° Calculate the exact area of the sha

Nikitich [7]

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = $\frac{\theta}{360}(\pi r^{2})$

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = $\frac{60}{360}(\pi) (10^{2})$

= 52.36 in²

Area of equilateral triangle BCD = $\frac{\sqrt{3} }{4}(\text{Side})^2$

= $\frac{\sqrt{3} }{4}(10)^2$

= $25\sqrt{3}$ in²

= 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

= 9.06 in²

Area of sector CAD = $\frac{90}{360}(\pi)(\sqrt{50})^2$

= 39.27 in²

Area of right triangle CAD = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(\text{AC})(\text{AD})$

= $\frac{1}{2}(\sqrt{50})(\sqrt{50})$

= 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

= 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

= 23.33 in²

8 0

2 years ago

paul can finish painting a fence in 2 hours if jane douse the job alone she can finish it in 5 hours how long will it take them

NeTakaya

Answer: 40 minutes

Step-by-step explanation:

2/5 = .4 so it would be 40 minutes

4 0

2 years ago

What is the inverse of the function??

Firlakuza [10]

$$\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}$
$

To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:

- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).

- Swap x and f(x).

- The result is the inverse of the original function $f^{-1}(x)$ .

-------------------------

Apply that on your function
$$\begin{matrix}
y=ln(x+3)\\
e^y=x+3\\
e^y-3=x\\
swap ~x~and~y\\
 \huge\underline{y=e^x-3}}
 \end{matrix}$
$

5 0

2 years ago

Dinesh has 28 points in a trivia game. He answers a question correctly and earns 35 points. Then, he answers a multipart questio

ioda

Answer:

The answer for the problem would be -12

Step-by-step explanation:

(28+35) = 63

63-75= -12

6 0

2 years ago

a recipe calls for 3 cups of flour and 2 cups of sugar if you only have 2.5 cups of sugar to keep it proportional how much sugar

belka [17]

Answer:

You would need to use 2.4 cups of sugar if you have 2.5 cups of flour.

Step-by-step explanation:

Divide: 3 divided by 2.5=1.2

Multiply: 1.2 times 2=2.4

Answer: 2.4 cups of sugar

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!

8 0

3 years ago