3 years ago

Express each ratio in simplest form of 7:77

Mathematics

1 answer:

Neko [114]3 years ago

4 0

Answer:

1 : 11

Step-by-step explanation:

7 : 77 (will be divided by 7 and will get answer as)

1 : 11 answer

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A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?

Illusion [34]

59.4cm
Use Pythagorean theorem to find the diagonal (^ means exponent)
a^2 + b^2 = c^2
42^2 + 42^2= c^2
1764+1764=c^2
3528=c^2
square root both sides
c= 59.39696962
round and you get 59.4 cm

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Anastaziya [24]

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$h = 3x^5-3x^2-10\text{ units}$

Step-by-step explanation:

We are given the following in the question:

Volume of cylinder =

$V=Bh$

where B is the area of base and h is the height of cylinder.

Volume of cylinder =

$V = 6\pi x^7-6\pi x^4-20\pi x^2$

Base area =

$B = 2\pi x^2$

We have to find height of cylinder.

$h = \dfrac{V}{B}\\\\h = \dfrac{6\pi x^7-6\pi x^4-20\pi x^2}{2\pi x^2}\\\\h = 3x^5-3x^2-10\text{ units}$

Thus, the height of cylinder is $3x^5-3x^2-10$ units.

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Valentin [98]

Answer: (a) e ^ -3x (b)e^-3x

Step-by-step explanation:

I suggest the equation is:

d/dx[integral (e^-3t) dt

First we integrate e^-3tdt

Integral(e ^ -3t dt) as shown in attachment and then we differentiate the result as shown in the attachment.

(b) to differentiate the integral let x = t, and substitute into the expression.

Therefore dx = dt

Hence, d/dx[integral (e ^-3x dx)] = e^-3x

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