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rosijanka [135]
3 years ago
12

Please help with this 3a² = 27. Find a

Mathematics
2 answers:
Anton [14]3 years ago
7 0

Answer: 9

Step-by-step explanation:

First divide both sides by 3

a^2=9

Then root both sides(\sqrt{a^2}=\sqrt{9})

a = 9

Hope it helps <3

Edit: :o this is my 250th answer

Ivahew [28]3 years ago
6 0

Answer:

a = 3

Step-by-step explanation:

3 {a}^{2}  = 27 \\  \frac{3 {a}^{2} }{3}  =  \frac{27}{3}  \\  {a}^{2}  = 9 \\ a =  \sqrt{9}  \\ a = 3

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walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0
3 years ago
A dolphin is swimming to the surface of the ocean while at the same time a bird is flying towards the surface of the ocean. The
maksim [4K]

They are at the same position at 0.5 seconds because with respect to the ocean's surface, they are both 9 feet away.

Hope this helps!!

5 0
3 years ago
Read 2 more answers
I need help pls ;-;?
n200080 [17]
In whattt thooooooooo
4 0
3 years ago
I need help with these 2 problems I cant figure out.
Alla [95]

I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.

2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)

Next, I add 20 on both sides.

2x + 90 + 3x = 200º

I combine like terms (2x and 3x)

5x + 90 = 200º

I subtract 90 from both sides.

5x = 110º

Divide 110 by 5 to get x.

x = 22

======

For problem two, I label all the angles I know.

49º + 80º + r = 180º

I add 80 and 49.

129º + r = 180º

I subtract 180 and 129 and get 51º, which is your angle for R.

For angle X, you know that angle R plus angle X equals half of a circle, which is 180º

We know from before that 129º is 180º without R, so X is 129º

I hope this helps! Let me know if I'm wrong!

5 0
3 years ago
Answer any of these on the page
andre [41]
63. it's a cube so all you have to do is find the surface area of one side and multiply it by 6 (or you can use the actual formula)

side length^2= 8^2=64
64*6=384cm^2
5 0
3 years ago
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