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Cerrena [4.2K]
3 years ago
10

Triangles ABC and DEF are similar. Find the length of side DF

Mathematics
1 answer:
Afina-wow [57]3 years ago
4 0

side df is the same as side ac


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Change 0.1928 to a percent
Salsk061 [2.6K]

B is the right choice.

You move the point to two spaces right, making 19.28 (percent).

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Which expression is equivalent to 6^4 x 6^3
Alex777 [14]

Answer:

36^{7}

Step-by-step explanation:

6^{4} × 6^{3}

6 x 6 = 36

4 + 3 = 7  (add exponents because its multiplication)

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Round your answer to the nearest hundredth.
Natali5045456 [20]

Answer:

uh, I think it's 4.13

Step-by-step explanation:

5*sin(65)=4.13 now this seems a bit off but this was the only one that actually worked

5 0
2 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
Last week Jeffrey played video games for 1 ½ hours each day from Monday to Saturday. He did not play on Sunday. His parents allo
VMariaS [17]

Answer:No 500 minutes is about 8 hours, 1 1/2 hours for 6 days is 9 hours so no he did not stay in his limit

Step-by-step explanation:

5 0
2 years ago
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