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3 years ago

Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.

Mathematics

1 answer:

Kazeer [188]3 years ago

7 0

Answer:

π×10^2=314.15

Step-by-step explanation:

hope it helps

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A garden hose having an internal diameter of 0.740 in. ( 1.8796 cm ) is connected to a lawn sprinkler that consists merely of an

lara31 [8.8K]

Answer:

It will leave the sprinkler at speed of $v_2=613.87m/sec$

Step-by-step explanation:

We have given internal diameter of the garden hose $d_1=0.740in=1.8796cm$

So radius $r_1=\frac{d_1}{2}=\frac{1.8796}{2}=0.9398cm$

So area $A_1=\pi r_1^2=3.14\times 0.9398^2=2.7733cm^2$

Water in the hose has a speed of 4 ft/sec

So $v_1=4ft/sec=121.92cm/sec(As\ 1ft/sec\ =30.48cm/sec)$

Number of holes n = 36

Diameter of each hole $d_2=0.1397cm$

So radius $r_2=0.0698cm$

So area $A_2=\pi r^2=3.14\times 0.0698^2=0.0153cm^2$

From continuity equation

$A_1v_1=nA_2v_2$

$2.7733\times 121.92=36\times 0.0153\times v_2$

$v_2=613.87m/sec$

7 0

3 years ago

Solve the equation: sin(2x)= sin x

Anna [14]

Answer:

Below

Step-by-step explanation:

sin(2x) = 2 ×cos(x)× sin(x)

● sin(x) = 2 × cos(x) × sin(x)

● 2 × cos(x) = 1

● cos (x) = 1/2

So we can deduce that:

● x = Pi/3 + 2*k*Pi

● or x = -Pi/3 + 2*k*Pi

K is an integer

3 0

3 years ago

55% as a fraction in simplest form.

nirvana33 [79]

Answer: 11/20
55/100 simplified is 11/20

3 0

3 years ago

Simplify square root of negative 48.

kvv77 [185]

We want to simplify √(-48).

Note that
i² = -1 by definition.
Therefore
$\sqrt{-48} = \sqrt{i^{2}.16.3} = \sqrt{i^{2}} \sqrt{16} \sqrt{3} =4i \sqrt{3}$

Answer: c. $4i \sqrt{3}$

3 0

4 years ago

Lisa made $165 for 11 hours of work. At the same rate, how much would she make for 13 hours of work? Pls help

ss7ja [257]

Answer: 195

Step-by-step explanation: Well first you would do 165 divided by 11 to find the rate. Then multiply what you got as your rate by 13. Then you would get 195.

3 0

3 years ago

Read 2 more answers