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3 years ago

1/3 plus 4/7 divided by 3/10

Mathematics

2 answers:

lakkis [162]3 years ago

8 0

Answer:

$\frac{47}{21}$ is the answer

Step-by-step explanation:

$\frac{1}{3} +\frac{4}{7} = \frac{19}{21}$

$\frac{19}{21} divide \frac{3}{10}$

ik this doesnt rlly make any sense but hope this helps

devlian [24]3 years ago

6 0

Answer:

47/21

Step-by-step explanation:

$\frac{1}{3} + \frac{4}{7} \div \frac{3}{10} \\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{1}{3}+\frac{4}{7}\times \frac{10}{3}\\\\\frac{4}{7}\times \frac{10}{3}=\frac{40}{21}\\=\frac{1}{3}+\frac{40}{21}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}3,\:21:\quad 21\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{7}{21}+\frac{40}{21}\\\\=\frac{7+40}{21}\\\\=\frac{47}{21}$

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the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base

wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

<u>According to question</u>

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 = 2 ×(l × b + b × h + h × l)

Or, (l × b + b × h + h × l) = $\dfrac{95}{2}$ ....1

<u>Similarly</u>

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = $\dfrac{63}{2}$ ......2

Putting value of eq 2 into eq 1

so, (l × b + $\dfrac{63}{2}$ ) = $\dfrac{95}{2}$

Or, l × b = $\dfrac{95}{2}$ - $\dfrac{63}{2}$

Or, l × b = $\dfrac{95 - 63}{2}$

i.e l × b = $\dfrac{32}{2}$

so, l × b = 16

<u>Now, Again</u>

∵The Area of the base = ( length × breadth ) cm²

So, z = l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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maks197457 [2]

Answer:

See below

Step-by-step explanation:

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Taking the RHS, note

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Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

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Then,

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago