Label based on TRIANGLE INEQUALITY.<br> 12<br> X Х<br> 8

Give an approximation of underroot(3) correct to hundredths. (Round to two decimal places as needed.)

Igoryamba

Answer: 1.75

Step-by-step explanation:

To find the value of $\sqrt{3}$

$\text{Let , }y=\sqrt{x}$

$\text{And Let x = 4 and }\Delta x=-1$

Now,

$\Delta y=\sqrt{x+\Delta x}-\sqrt{x}\\\\=\sqrt{3}-\sqrt{4}=\sqrt{3}-2\\\\\Rightarrow\ \sqrt{3}=\Delta y+2$

Since dy is approximately equals to $\Delta y$ then ,

$dy=\dfrac{dy}{dx}\Delta x\\\\=\dfrac{1}{2\sqrt{x}}\times(-1)=\dfrac{1}{2\sqrt{4}}\times(-1)=-0.25$

Thus , the approximate value of $\sqrt{3}=-0.25+2=1.75$

8 0

3 years ago

How much cardboard is needed to make the tissue box above? Square inches 8 3 3

Katen [24]

The amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

<h3>What is the surface area of cuboid?</h3>

Let the three dimensions(height, length, width) be x, y,z units respectively.

The surface area of the cuboid is given by

$S = 2(a\times b + b\times c + c\times a)$

For this case, tissue box is almost cuboid shaped.

Also, its dimensions are given being 8 inches, 3 inches and 3 inches.

Suppose we measure the amount of cardboard needed in terms of area, then, the amount of cardboard needed to make that box(without any whole, full cuboid) is equal to the area of its surface(either outer or inner if we assume 0 inches thickness of cardboard),

Thus, we get:

Amount of cardboard needed = surface area of cuboid box with dimensions 8 by 3 by 3 (in inches)

= $2(8 \times 3 + 3 \times 3 + 3 \times 8) = 114 \: \rm in^2$

Thus, the amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

Learn more about surface area of cuboid here:

brainly.com/question/13522634

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5 0

3 years ago

If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.

Tema [17]

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) $2x-11=x+7$

2) $x-11=7$

3) $x=18$

7 0

3 years ago

A chemist is using 342 milliliters of a solution of acid and water. If 14.4% of the solution is acid, how many milliliters of ac

Irina-Kira [14]

Answer:

47.88milliliters

Step-by-step explanation:

Given data

Total amount of the solution= 342 milliliters

14% is acid

Hence the amount of acid

=14/100* 342

=0.14* 342

=47.88milliliters

Therefore there are 47.88milliliters of acid

8 0

3 years ago

You are supposed to place them in the order they are supposed to go in, that's all its asking. Need some help!!

MaRussiya [10]

Answer: the 3 and 2 first then 40 divided by 8 then 8x2 then you can put the rest in whatever order i used pemdas I think it should be correct

Step-by-step explanation:pemdas

6 0

3 years ago

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