-12y = 60 Check your solution

An art gallery is a 6 story square pyramid with base are 1/2 acre ( 1 acre =n4840 yd, 1 story = 10ft) . Estimate the volume in c

zzz [600]

An art gallery is a 6-story square pyramid with base area of half an acre. Estimate the volume in cubic yards of the art gallery. In your calculations, use 1 acre = 4840 yd2 and 1 story = 10 ft.

7 0

2 years ago

On interchanging two digits of the number 2643, it decreased by 180. Which two digits of 2643 might have been interchanged?

iris [78.8K]

Answer: D. 6 and 4

Explanation:

2643 - 180 = 2463 the 6 changes to a 4, and the 4 changes to a 6.

8 0

2 years ago

Need hep now will make brainliest

AfilCa [17]

Hi!
1. -25
2. 22
3. 0
4. -34.5

hope this helps!

8 0

2 years ago

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Rationalize the denominator and simplify.

cestrela7 [59]

If you're using the app, try seeing this answer through your browser: brainly.com/question/3151018

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$\mathsf{\dfrac{3\sqrt{6}+5\sqrt{2}}{4\sqrt{6}-3\sqrt{2}}}$

Multiply and divide by the conjugate of the denominator, which is $\mathsf{4\sqrt{6}+3\sqrt{2}:}$

$\mathsf{=\dfrac{\big(3\sqrt{6}+5\sqrt{2}\big)\cdot \big(4\sqrt{6}+3\sqrt{2}\big)}{\big(4\sqrt{6}-3\sqrt{2}\big)\cdot \big(4\sqrt{6}+3\sqrt{2}\big)}}$

Expand those products and eliminate the brackets:

$\mathsf{=\dfrac{\big(3\sqrt{6}+5\sqrt{2}\big)\cdot 4\sqrt{6}+ \big(3\sqrt{6}+5\sqrt{2}\big)\cdot 3\sqrt{2}}{\big(4\sqrt{6}-3\sqrt{2}\big)\cdot 4\sqrt{6}+ \big(4\sqrt{6}-3\sqrt{2}\big)\cdot 3\sqrt{2}}}\\\\\\ \mathsf{=\dfrac{12\cdot \big(\sqrt{6}\big)^2+20\sqrt{2}\cdot \sqrt{6}+9\cdot \sqrt{6}\cdot \sqrt{2}+15\cdot \big(\sqrt{2}\big)^2}{16\cdot \big(\sqrt{6}\big)^2-12\cdot \sqrt{2}\cdot \sqrt{6}+ 12\cdot \sqrt{6}\cdot \sqrt{2}-9\cdot \big(\sqrt{2}\big)^2}}\\\\\\ \mathsf{=\dfrac{12\cdot 6+20\sqrt{2\cdot 6}+9\sqrt{6\cdot 2}+15\cdot 2}{16\cdot 6-12\sqrt{2\cdot 6}+ 12\sqrt{6\cdot 2}-9\cdot 2}}\\\\\\ \mathsf{=\dfrac{72+20\sqrt{12}+9\sqrt{12}+30}{96-12\sqrt{12}+12\sqrt{12}-18}}$

$\mathsf{=\dfrac{72+29\sqrt{12}+30}{96-18}}\\\\\\ \mathsf{=\dfrac{102+29\sqrt{2^2\cdot 3}}{78}}\\\\\\ \mathsf{=\dfrac{102+29\cdot \sqrt{2^2}\cdot \sqrt{3}}{78}}\\\\\\ \mathsf{=\dfrac{102+29\cdot 2\sqrt{3}}{78}}$

$\mathsf{=\dfrac{102+58\sqrt{3}}{78}}\\\\\\ \mathsf{=\dfrac{\,\diagup\!\!\!\! 2\cdot \big(51+29\sqrt{3}\big)}{\diagup\!\!\!\! 2\cdot 39}}$

$\mathsf{=\dfrac{51+29\sqrt{3}}{39}}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps. =)

4 0

2 years ago

The nurse understands that the elderly client should drink at least 30 ml/kg of fluid each day with a minimum of 1500 ml/ day. M

Anastaziya [24]

Answer 
=3,075.36 ml

Explanation
We must first convert pounds to kilograms. 1Lbs = 0.453592Kg.
So, 226 Lbs=226×0.453592
=102.512Kg
Now calculate how many ml Mr. Rogers would take.
30ml→1 Kg
What about 102.512 Kg?
102.512Kg→102.512×30
=3,075.36 ml
Since this figure is above the threshold ml per day, then we take the answer as 3,075.36 ml per day.

8 0

3 years ago

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