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uranmaximum [27]
3 years ago
8

SOMEONE HELP?!! ASAP !! I’ll give brainliest!! Please and ty !!

Mathematics
2 answers:
JulijaS [17]3 years ago
7 0

Answer:

What ever the other guy said

Step-by-step explanation:

dsp733 years ago
3 0

Answer:

(\pi 4^2 (9))-(\pi 2^2 (9))

and

339.292 cm^3

Step-by-step explanation:

This question is simple once you break it down.

Let's concentrate on the outer cylinder.

First, find the volume of the outer cylinder.

The volume of a cylinder is expressed as: V = \pi r^2 h  

Gathering information from the diagram..

d = 8 cm

h = 9 cm

You can get the radius from the diameter by just dividing the diameter by 2.

r = \frac{8}{2}=4

r = 4

Plug everything into the volume equation.

V = \pi 4^2 (9)

Don't solve just yet!

Now, find the volume of the inner cylinder.

Do the exact same thing as you did for the outer cylinder.

d = 4 cm

h = 9 cm

r = \frac{4}{2}=2

r = 2

Plug everything into the volume equation..

V = \pi 2^2 (9)

The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.

Again, the volume for the large cylinder is V = \pi 4^2 (9) and the volume for the cylindrical hole is V = \pi 2^2 (9)

This means..

(\pi 4^2 (9))-(\pi 2^2 (9))

That is your answer to the first part of the question.

For the second part, just solve.

(\pi 4^2 (9))-(\pi 2^2 (9))

(\pi*16*9)-(\pi*4*9)

(\pi*144)-(\pi*36)

144\pi-36\pi

108\pi

339.292

Don't forget the units.

339.292 cm^3

Hope this helped you!

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How could you find the perimeter of an isosceles right triangle if you (8) already know the area?
netineya [11]

The area of a triangle is given in terms of the side lengths (b, h) as

... A = (1/2)bh

If b=h, then we can find the side length as ...

... A = (1/2)b²

... b = √(2A) . . . . . multiply by 2 and take the square root

The hypotenuse (x) can be found from the Pythagorean theorem:

... x² = b² + h² = 2b²

... x = b√2

The perimeter is the sum of the side lengths, so is

... P = b + b + x = 2√(2A) + (√(2A))·√2

... P = (2+√2)·√(2A)

7 0
3 years ago
Sofian's current age is (2x + 3) times Mastura's age. Given that Mastura's current age is (x + 5) years and 6 years ago, the sum
Sliva [168]

{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}

★ Sofian's current age is (2x + 3) times Mastura's age.

★ Mastura's current age is (x + 5) years

★ 6 years ago, the sum of their ages is 44 years.

{\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}

★ The value of x.

{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}

<u>According to the question,</u>

Present age of Mastura = (x + 5) years

Present age of Sofian = (2x + 3) (x + 5) years, i.e :

\longrightarrow \tt (2x + 3) (x + 5)

\longrightarrow \tt 2 {x}^{2}  + 10x + 3x + 15

\longrightarrow \tt 2 {x}^{2}  + 13x + 15  \: years

Now,

Mastura's age 6 years ago = (x + 5) - 6

=> x + 5 - 6

=> x - 1

Sofian's age 6 years ago = 2x² + 13x + 15 - 6

= 2x² + 13x + 9

<u>Usin</u><u>g</u><u> </u><u>the</u><u> </u><u>condi</u><u>tion</u><u> </u><u>provided</u><u> </u><u>by</u><u> </u><u>the</u><u> </u><u>question</u><u>,</u><u> </u>

Mastura's age 6 years ago + Sofian's age 6 years ago = 44

\longrightarrow  \tt (x - 1) + (2 {x}^{2}  + 13x + 9) = 44

\longrightarrow  \tt x - 1 + 2 {x}^{2}  + 13x + 9 = 44

\longrightarrow  \tt 2 {x}^{2}  + 14x + 8 = 44

\longrightarrow  \tt 2 {x}^{2}  + 14x + 8  -  44 = 0

\longrightarrow  \tt 2 {x}^{2}  + 14x  - 36= 0

• <u>Takin</u><u>g</u><u> </u><u>"</u><u>2</u><u>"</u><u> </u><u>commo</u><u>n</u><u>.</u>

\longrightarrow  \tt 2 ({x}^{2}   + 7x - 18) =  0

\longrightarrow  \tt {x}^{2}   + 7x - 18 = \dfrac{0}{2}

\longrightarrow  \tt {x}^{2}   + 7x - 18= 0

• <u>Usin</u><u>g</u><u> </u><u>splitting</u><u> </u><u>the </u><u>midd</u><u>le</u><u> </u><u>term</u>

\longrightarrow  \tt {x}^{2}   + 9x - 2x - 18 = 0

\longrightarrow  \tt x(x + 9) - 2(x + 9) = 0

\longrightarrow  \tt (x + 9) (x  - 2) = 0

either \tt (x + 9)  = 0 \: \:  or \:  \: (x  - 2) = 0

\longrightarrow \tt x   =  - 9 \: \:  or \:  \: x   = 2

[As the age cannot be negative. So x = - 9 is rejected]

\therefore \tt \: x = \red{ 2}

{\large{\textsf{\textbf{\underline{\underline{Verification :}}}}}}

<u>According to the condition provided by the question, </u>

• Mastura's age 6 years ago + Sofian's age 6 years ago = 44

\longrightarrow  \tt x - 1 + 2 {x}^{2}  + 13x + 9 = 44

<u>Putti</u><u>ng</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>we</u><u> </u><u>get</u><u>,</u>

\longrightarrow  \tt 2 - 1 + 2( {2})^{2}  + 13(2) + 9 = 44

\longrightarrow  \tt 1 + 2  \times 4  + 26+ 9 = 44

\longrightarrow  \tt 1 + 8  + 26+ 9 = 44

\longrightarrow  \tt 9  + 26+ 9 = 44

\longrightarrow  \tt 18 + 26 = 44

\longrightarrow  \tt 44 = 44

<u>Henc</u><u>e</u><u> verified</u><u>.</u>

\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}

Hope it helps you! :))

6 0
2 years ago
18-4y=42 help, please?
juin [17]

18-4y=42

4y = 18-42

4y=-24

y = - 6

5 0
3 years ago
in a circular garden the distance from the center of the circle to the edge is 15ft . If a gardner wants to plant roses in a 60
olya-2409 [2.1K]

Answer:

Approximately 117.81 ft²

Step-by-step explanation:

Find the area of the whole circle

A=πr²

A=π(15)²

A=706.86 ft²

Now you need to find the area of the garden covered in roses, so take the total degrees in a circle (360) and divide it by the degrees of the roses (60).

360/60=6

Take the area of the whole circle (706.86 ft²) and divide it by the number you just got (6). The number you get will be the area of the rose section.

706.86/6= 117.81 ft²

6 0
3 years ago
The value of X and Y vary directly, and when X= 4 Y equals -10. Find the value of Y when X equals 10.
ziro4ka [17]

y = - 25

since x varies directly with y then we can express the relationship as

x = ky ← k is the constant of variation

to find k use the given condition y = - 10 when x = 4

k = \frac{x}{y} = \frac{4}{-10} = - \frac{2}{5}

hence x = - \frac{2}{5} y

when x = 10

10 = - \frac{2}{5} y

multiply both sides by - 5 and divide both sides by 2 )

- 50 =  2y ⇒ y = - 25


7 0
3 years ago
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