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2 years ago

Find the value of xd:6

Mathematics

2 answers:

Scorpion4ik [409]2 years ago

5 0

Answer: D) 6

Step-by-Step Solution:

We know, (5x)° and (3x + 12)° are Vertically Opposite Angles and Vertically Opposite Angles are Equal.

Therefore,
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
=> x = 6

Therefore, x = 6

Phantasy [73]2 years ago

3 0

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve for x ~

$\qquad \sf \dashrightarrow \: 5x = 3x + 12$

[ by vertical opposite angle pair ]

$\qquad \sf \dashrightarrow \: 5x - 3x = 12$

$\qquad \sf \dashrightarrow \: 2x = 12$

$\qquad \sf \dashrightarrow \: x = 12 \div 2$

$\qquad \sf \dashrightarrow \: x = 6$

Therefore, the correct choice is D. 6

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From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is

Nataliya [291]

<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

$volume \: of \: the \: cylinder \: = \pi {r}^{2} h$

$= > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3}$

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

$slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} }$

$= > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm$

Volume of the cone = 1/3 *πr^2h

$= > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3}$

therefore, the volume of the remaining solid

$= 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3}$

Curved surface of the cylinder =

$2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .$

$curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2}$

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

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2 years ago

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max2010maxim [7]

Answer:

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Step-by-step explanation:

You're welcome :)

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Answer:

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Step-by-step explanation:

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2 years ago

What is 3 and 1/5 as a decimal

Musya8 [376]

Answer:

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Step-by-step explanation:

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3 years ago

Find the value of x.

Trava [24]

Answer:

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Step-by-step explanation:

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x +x +59 +48 +50 +39 +58 = 360

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2 years ago

Find the value of xd:6​

Find the value of xd:6