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3 years ago

6

A flag pole 20 feet tall casts a shadow 12 feet long. If John is 5 feet tall, what is the length of John's shadow while standing

next to the flag pole?
A) 2
B) 3
C) 6
D) 9

1 answer:

posledela3 years ago

6 0

His shadow will be 3 feet tall

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Please help me the question is. Marco's grandmother and his uncle both called Marco today.

VMariaS [17]

Answer:

18 days until they both call him on the same day

Step-by-step explanation:

The common multiples of 6 and 9 is 18, 36, 54, etc. 18 is the first common multiple so Marco's grandparents willl call Marco on the 18th day. please boost me

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2 years ago

500 people took part in a marathon. 35% of them were children and the rest

sineoko [7]

Answer:

325

Step-by-step explanation:

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2 years ago

C. 3851 yards <br> D. 3181 yards <br> Math question please help I'm running out of time

natali 33 [55]

Using the law of sins:

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3 years ago

Find dy/dx if y =x^3+5x+2/x²-1

stiks02 [169]

<u>Differentiate using the Quotient Rule</u> –

$\qquad$ $\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\$

According to the given question, we have –

f(x) = x^3+5x+2
g(x) = x^2-1

Let's solve it!

$\qquad$ $\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{(x^2-1) \dfrac{d}{dx}(x^3+5x+2) - ( x^3+5x+2) \dfrac{d}{dx}(x^2-1)}{(x^2-1)^2 }\\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{(x^2-1)(3x^2+5) - ( x^3+5x+2) 2x}{(x^2-1)^2 }\\$

$\qquad$ $\pink{\sf \because \dfrac{d}{dx} x^n = nx^{n-1} }\\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-(2x^4+10x^2+4x)}{(x^2-1)^2 }\\$

$\qquad$ $\twoheadrightarrow \sf \dfrac{3x^4+5x^2-3x^2-5-2x^4-10x^2-4x}{(x^2-1)^2 }\\$

$\qquad$ $\green{\twoheadrightarrow \bf \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}\\$

$\qquad$ $\pink{\therefore \bf{\green{\underline{\underline{\dfrac{d}{dx} \dfrac{x^3+5x+2 }{x^2-1}} = \dfrac{x^4-8x^2-4x-5}{(x^2-1)^2 }}}}}\\\\$

7 0

2 years ago

the value of n is both 5 times as much as the value of m and 36 more than the value of m. what are the values of n and m? explai

Ray Of Light [21]

You said that n = 5m

AND    n = m + 36 .

Well then, if those two quantities are both equal to 'n', then
they must be equal to each other, and we can write

   5m = m + 36

Subtract 'm' from each side: 4m =   36

Divide each side by 4 : m =    9 .

OK. We're half done.

Way back at the beginning, the first thing you told me
was that 'n' is 5 times the value of 'm'.

   n = 5 (m)

Well ! Now we know what 'm' is, so

   n = 5 (9) = 45 .

8 0

3 years ago