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2 years ago

If ABCD is a square and AB = 10, what is the measure of CE to the nearest hundredth?

Mathematics

1 answer:

andrey2020 [161]2 years ago

6 0

Answer:

$AC=14.14\ units$

Step-by-step explanation:

<em><u>The correct question is </u></em>

If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)

see the attached figure to better understand the problem

we know that

All four sides of the square are congruent and all four interior angles are equal to 90°.

AB=BC=CD=AD

In the right triangle ACD

Applying the Pythagorean Theorem

$AC^2=CD^2+AD^2$

we have that

$CD=AD=AB=10\ units$

substitute the given value

$AC^2=10^2+10^2$

$AC^2=200$

$AC=\sqrt{200}\ units$

$AC=14.14\ units$

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If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal

Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that $2x^2+y^2=17$

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

$4x+2yy'=0$

$2x+yy'=0$

$yy'=-2x$

$y'=-\frac{2x}{y}$

Again differentiate w.r.t.x

Then , we get

$2+(y')^2+yy''=0$ $(u\cdot v)'=u'v+v'u)$

$2+(y')^2+yy''=0$

Using value of y'

$yy''=-2-(-\frac{2x}{y})^2$

$y''=-\frac{2+(-\frac{2x}{y})^2}{y}$

Substitute x=2 and y=3

Then, we get $y''=-\frac{2+(\frac{4}{3})^2}{3}$

$y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}$

Hence,y''=-1.26

6 0

2 years ago

If on a scale drawing 15 feet are represented by 10 inches then a scale of 1/10 inch represents how many feet

GenaCL600 [577]

A scale of $\frac{1}{10}$ inches will represent $\frac{3}{20}$ feet.

Step-by-step explanation:

According to scale drawing;

15 feet = 10 inches

1 inch = $\frac{15}{10}=\frac{3}{2}\ feet$

A scale of $\frac{1}{10}$ inch will represent;

Multiplying both sides by

$\frac{1}{10}*1=\frac{3}{2}*\frac{1}{10}\\\\\frac{1}{10}\ inches = \frac{3}{20}\ feet$

A scale of $\frac{1}{10}$ inches will represent $\frac{3}{20}$ feet.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

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Anton [14]

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