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slega [8]
2 years ago
7

A circular flower bed is 24 m in diameter and has a circular sidewalk around it 3 m wide. Find the area of the sidewalk in squar

e meters
Mathematics
1 answer:
Sholpan [36]2 years ago
7 0

Answer:

120.105m^2

Step-by-step explanation:

Given data

Diameter of circular bed=  24+3m = 27m

radius= 27/2= 13.5 m

Diameter of side walk = 12

radius= 24= 12 m

Hence the area of the sidewalk is

Area= area of circular bed- area of side walk

Area=πR^2-πr^2

Area=π(R^2-r^2)

Area=π(13.5^2-12^2)

Area= 3.14(182.25-144)

Area= 3.14(38.25)

Area=120.105m^2

Hence the area of the side walk is 120.105m^2

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Write the expression using rational exponents. Then simplify and convert back to radical notation.
ioda

Answer:

The radical notation is 3x\sqrt[3]{y^2z}

Step-by-step explanation:

Given

\sqrt[3]{27 x^{3} y^{2} z}

Step 1 of 1

Write the expression using rational exponents.

\sqrt[n]{a^{m}}=\left(a^{m}\right)^{\frac{1}{n}}

=a^{\frac{m}{n}}:\left({27 x^{3} y^{2} z})^{\frac{1}{3}}

$(a \cdot b)^{r}=a^{r} \cdot b^{r}:(27)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$

=$(3^3)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$

$=\left(3\right)\left(x}\right)} \cdot\left(y}\right)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

Simplify $3 x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3 x \sqrt[3]{y^{2} z}$

Learn more about radical notation, refer :

brainly.com/question/15678734

4 0
2 years ago
Find the area of the following figure and write your result in the empty box.<br> ​<br> ​
Sunny_sXe [5.5K]

Answer:

Area = 406

Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

14 x 5 = 70

Now add:

336 + 70 = 406

So the area is 406

5 0
2 years ago
Technician A says when there is a delay or slip as the transmission shifts into any forward gear, a slipping rear clutch is indi
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Answer:

Technician B

Step-by-step explanation:

It is very important that any car is taking for a test drive and a road test is carried out to check for any sort of problem with the transmission of the car or any leakages that may be found in the hydraulic circuits.

Technician B is very correct because when the hydraulic circuits is leaking, the front or forward clutch tends to slip thereby causing the shift for all forward gears to be delayed

Also,the sticking of the spool into the body of the valve can also cause the problem to occur as well.

8 0
3 years ago
If h(x)=(x-2)^2, find h(x+1)
Softa [21]

Answer:

Step-by-step explanation:

h(x+1) = ( x + 1 - 2)²

= (x -1)²

8 0
3 years ago
2. Solve for x. Round answer to the nearest tenth. *
slavikrds [6]

Answer:

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Step-by-step explanation:

Using the cosine ratio in the right triangle

cos22° = \frac{adjacent}{hypotenuse} = \frac{x}{8}

Multiply both sides by 8

8 × cos22° = x, thus

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