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3 years ago

Find the square root of 1.69? show work ...?

Mathematics

2 answers:

Sonbull [250]3 years ago

5 0

<span>what work? You just need to put the equation on your calculator ^^1.69) = 1.3</span>

andreyandreev [35.5K]3 years ago

3 0

Maybe something like this:
1.69 = 169 / 100
√ 1.69 = √ ( 169 /100 ) = √169 / √ 100 = 13 / 10 = 1.3
Thank you.

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Shelly states that the triangles below are similar. Which proportion supports her statement?

choli [55]

I'm not sure, but I believe your answer would be

8/10 = 4/20

Forgive me if I'm wrong, but the others seem to say the same thing that this answer doesn't.

4 0

3 years ago

Read 2 more answers

A square of side lengths 5 cm. find its diagonal length

kramer

Answer:

7.07107cm

Step-by-step explanation:

d= $\sqrt{2} a =\sqrt{2} (5) = 7.07107$

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2 years ago

A norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. Find the dimensions of a norman

Yanka [14]

Answer:

$W\approx 8.72$ and $L\approx 15.57$ .

Step-by-step explanation:

Please find the attachment.

We have been given that a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. The total perimeter is 38 feet.

The perimeter of the window will be equal to three sides of rectangle plus half the perimeter of circle. We can represent our given information in an equation as:

$2L+W+\frac{1}{2}(2\pi r)=38$

We can see that diameter of semicircle is W. We know that diameter is twice the radius, so we will get:

$2L+W+\frac{1}{2}(2r\pi)=38$

$2L+W+\frac{\pi}{2}W=38$

Let us find area of window equation as:

$\text{Area}=W\cdot L+\frac{1}{2}(\pi r^2)$

$\text{Area}=W\cdot L+\frac{1}{2}(\pi (\frac{W}{2})^2)$

$\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W}{2})^2)$

$\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W^2}{4})$

$\text{Area}=W\cdot L+\frac{\pi}{8}W^2$

Now, we will solve for L is terms W from perimeter equation as:

$L=38-(W+\frac{\pi }{2}W)$

Substitute this value in area equation:

$A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2$

Since we need the area of window to maximize, so we need to optimize area equation.

$A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2$

$A=38W-W^2-\frac{\pi }{2}W^2+\frac{\pi}{8}W^2$

Let us find derivative of area equation as:

$A'=38-2W-\frac{2\pi }{2}W+\frac{2\pi}{8}W$

$A'=38-2W-\pi W+\frac{\pi}{4}W$

$A'=38-2W-\frac{4\pi W}{4}+\frac{\pi}{4}W$

$A'=38-2W-\frac{3\pi W}{4}$

To find maxima, we will equate first derivative equal to 0 as:

$38-2W-\frac{3\pi W}{4}=0$

$-2W-\frac{3\pi W}{4}=-38$

$\frac{-8W-3\pi W}{4}=-38$

$\frac{-8W-3\pi W}{4}*4=-38*4$

$-8W-3\pi W=-152$

$8W+3\pi W=152$

$W(8+3\pi)=152$

$W=\frac{152}{8+3\pi}$

$W=8.723210$

$W\approx 8.72$

Upon substituting $W=8.723210$ in equation $L=38-(W+\frac{\pi }{2}W)$ , we will get:

$L=38-(8.723210+\frac{\pi }{2}8.723210)$

$L=38-(8.723210+\frac{8.723210\pi }{2})$

$L=38-(8.723210+\frac{27.40477245}{2})$

$L=38-(8.723210+13.70238622)$

$L=38-(22.42559622)$

$L=15.57440378$

$L\approx 15.57$

Therefore, the dimensions of the window that will maximize the area would be $W\approx 8.72$ and $L\approx 15.57$ .

8 0

3 years ago

The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers

just olya [345]

Answer:

Yes this is a linear function f(x) = ex+30

e = hourly rate

x=hours

f(x) = total earnings

6 0

3 years ago

The area of a isosceles trapezoid height of 8 base of 10 base of 15

ikadub [295]

Answer:

A = 100 $un^{2}$

Step-by-step explanation:

You have to use the area of a trapezoid formula:

A = $\frac{h}{2}$ (a + b)

Now, substitute the values of the height and the bases:

A = $\frac{8}{2}$ (10 + 15)

Finally, simplify the equation to solve for the area:

A = 4(25)

A = 100 $un^{2}$

6 0

3 years ago