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4 years ago

How do write 412.638 using expanded form using decimals

1 answer:

3 0

The answer is 400.000+ 10.000+ 2.000+ .600+ .030+ .008

I came to this conclusion because I took each number and replaced all of the other numbers with the place holder "0".

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Last one for finding lengths side, please answer correctly, thank you

Georgia [21]

∑ Hey, shanellmccullough ⊃

Answer:

(a) Width of the garden : 64 m

(b) Length of the window: 95 cm

Step-by-step explanation:

Given:

(a) The perimeter of a rectangular garden is 306 m. If the length of the garden is 89 m, what is its width?

(b) The area of a rectangular window is 5130 cm². If the width of the window is 54 cm, what is its length?

Solve:

(a) The perimeter of a rectangular garden is 306 m. If the length of the garden is 89 m, what is its width?

Formula for perimeter: P = (L + W) × 2

Which;

P = Perimeter

L = Length

W = Width

Which also could be written as:

L + L + W + W = P

Hence, since it given that;

306 = P and L = 89

Then

We know that ;

89L + 89L + W + W = 306

So we can add 89 + 89 or 89 × 2

which is 178

Now we know that;

178 + 2w = 306

Solving for 2w:

178 + 2w = 306

178-178 + 2w = 306 - 178

2w = 128

W = 64

Hence, width is 64.

Check Answer:

64 × 2 + 89 × 2 = 306

-------------------------------------------------------------------------------------------------------------

(b) The area of a rectangular window is 5130 cm². If the width of the window is 54 cm, what is its length?

Formula for area: A = Lw

Which;

A = Area

L = Length

W = Width

So, since we know the width we can just do 5130/54 to find Length

5130/54 = 95

Hence, the length of the window is 95 cm.

Check Answer :

A = Lw

A = 95 × 54

A = 5130 cm²

-------------------------------------------------------------------------------------------------------------

xcookiex12

8/18/2022

7 0

1 year ago

Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point (18, 12).

Oxana [17]

Check the attached file for the answer.

6 0

4 years ago

A circular fence is being placed around a tree. The diameter of the fence is 4 feet. How much fence is being used? Round to the

Novay_Z [31]

Answer:

4 pi or approx. 12.6

Step-by-step explanation:

i think...

7 0

3 years ago

Plz with steps plzzzzzz

Stella [2.4K]

Answer: $-\frac{\sqrt{2a}}{8a}$

=======================================================

Explanation:

The (x-a) in the denominator causes a problem if we tried to simply directly substitute in x = a. This is because we get a division by zero error.

The trick often used for problems like this is to rationalize the numerator as shown in the steps below.

$\displaystyle \lim_{x\to a} \frac{\sqrt{3a-x}-\sqrt{x+a}}{4(x-a)}\\\\\\\lim_{x\to a} \frac{(\sqrt{3a-x}-\sqrt{x+a})(\sqrt{3a-x}+\sqrt{x+a})}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{(\sqrt{3a-x})^2-(\sqrt{x+a})^2}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{3a-x-(x+a)}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{3a-x-x-a}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\$

$\displaystyle \lim_{x\to a} \frac{2a-2x}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{-2(-a+x)}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{-2(x-a)}{4(x-a)(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\\lim_{x\to a} \frac{-2}{4(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\$

At this point, the (x-a) in the denominator has been canceled out. We can now plug in x = a to see what happens

$\displaystyle L = \lim_{x\to a} \frac{-2}{4(\sqrt{3a-x}+\sqrt{x+a})}\\\\\\L = \frac{-2}{4(\sqrt{3a-a}+\sqrt{a+a})}\\\\\\L = \frac{-2}{4(\sqrt{2a}+\sqrt{2a})}\\\\\\L = \frac{-2}{4(2\sqrt{2a})}\\\\\\L = \frac{-2}{8\sqrt{2a}}\\\\\\L = \frac{-1}{4\sqrt{2a}}\\\\\\L = \frac{-1*\sqrt{2a}}{4\sqrt{2a}*\sqrt{2a}}\\\\\\L = \frac{-\sqrt{2a}}{4\sqrt{2a*2a}}\\\\\\L = \frac{-\sqrt{2a}}{4\sqrt{(2a)^2}}\\\\\\L = \frac{-\sqrt{2a}}{4*2a}\\\\\\L = -\frac{\sqrt{2a}}{8a}\\\\\\$

There's not much else to say from here since we don't know the value of 'a'. So we can stop here.

Therefore,

$\displaystyle \lim_{x\to a} \frac{\sqrt{3a-x}-\sqrt{x+a}}{4(x-a)} = -\frac{\sqrt{2a}}{8a}\\\\\\$

3 0

3 years ago

A bag contains 8 red balls and 6 blue

Andreyy89

Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

8 + 6 = 14

14 = 100

8 = X

8 x 100/14 = X

800/14 = X

57.14 = X

100 - 57.14 = 42.86

0.5714 ^ 3 = X

0.1865 = X

0.4286 ^ 3 = X

0.0787 = X

Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

5 0

3 years ago