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3 years ago

Identify cosQ as a fraction and as a decimal rounded to the nearest hundredth. HELP ASAP! PLEASE!!

Mathematics

1 answer:

cluponka [151]3 years ago

7 0

Answer:

Step-by-step explanation:

Cos(Q) = adjacent to Q/Hypotenuse

adjacent = 15

Hypotenuse = 17.7

Cos(Q) = 15/17.7

Cos(Q) = 0.8475

The answer is C.

D is impossible. The cos of any angle can never be more than 1.

B is Tan(Q). They are not the same.

A is Sin(Q)

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In the right triangle shown, m∠V=60°m, and angle UV=18 how long is UW?

Evgen [1.6K]

Answer:

Step-by-step explanation:

Check attachment for solution

So, I believed the first case is correct since it gave us one of the option, then, the answer is D.

9√3.

So, UW = 9√3

4 0

3 years ago

An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft 3 . Find the d

denpristay [2]

Answer:

The dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

Step-by-step explanation:

Given : An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft³.

To find : The dimensions of the box that minimize the materials used ?

Solution :

An open top box is to be built with a rectangular base whose length is twice its width.

Here, width = w

Length = 2w

Height = h

The volume of the box V=36 ft³

i.e. $w\times 2w\times h=36$

$h=\frac{18}{w^2}$

The equation form when top is open,

$f(w)=2w^2+2wh+2(2w)h$

Substitute the value of h,

$f(w)=2w^2+2w(\frac{18}{w^2})+2(2w)(\frac{18}{w^2})$

$f(w)=2w^2+\frac{36}{w}+\frac{72}{w}$

$f(w)=2w^2+\frac{108}{w}$

Derivate w.r.t 'w',

$f'(w)=4w-\frac{108}{w^2}$

For critical point put it to zero,

$4w-\frac{108}{w^2}=0$

$4w=\frac{108}{w^2}$

$w^3=27$

$w^3=3^3$

$w=3$

Derivate the function again w.r.t 'w',

$f''(w)=4+\frac{216}{w^3}$

For w=3, $f''(3)=4+\frac{216}{3^3}=12 >0$

So, it is minimum at w=3.

Now, the dimensions of the box is

Width = 3 ft.

Length = 2(3)= 6 ft

Height = $\frac{18}{3^2}=2\ ft$

Therefore, the dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

4 0

3 years ago

Mark said he can decompose the fraction 5/6 into three numerator.Is this possible? Explain.

OlgaM077 [116]

Ni because if you divide or mulriply the denominator you have to multiply or divide the numerator by the same amount. It is not possible dince you can divide the denominator by 2 to get 3 but you cant divude 5 by 2 and get an evn number

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3 years ago

(50 pts!) Help pls<br><br>Find the value of x

Lera25 [3.4K]

Answer:

x = 3.5.

Step-by-step explanation:

This is an equilateral triangle ( as all angles = 60 degrees) so all 3 sides are of equal length.

Thus 2x - 3 = 4

2x = 7

x = 3.5.

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3 years ago

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tangare [24]

Answer:

Step-by-step explanation:

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3 years ago

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