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Temka [501]
3 years ago
5

Did I do this right? I’m not sure it this is right

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0
Yes it’s right ………………………………………..
lisabon 2012 [21]3 years ago
4 0
Yessssssssssssss!!!!!!
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What is the perimeter of the base, p, of this square-based pyramid? (attached image
Katen [24]

Answer:

32in

Step-by-step explanation:

8in + 8in + 8in + 8in = 32in

8 0
3 years ago
You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3
Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

h=\frac{504}{lw}

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides C_{s}= 3[2(l + w)h] = 6(l + w)h

C_{s}= 3[2(l + w)h]

C_{s}=6(l+w)(\frac{504}{lw} )

Cost of the top and the bottom C_{(t,p)}= 4(2lw) = 8lw

Total cost of the box C = 3024\frac{(l+w)}{lw} + 8lw

                                      = 3024[\frac{1}{l}+\frac{1}{w}] + 8lw

To minimize the cost of the sides

\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0

\frac{3024}{l^{2}}=8w

\frac{378}{l^{2}}=w ---------(1)

\frac{dC}{dw}=3024(-w^{-2})+8l=0

\frac{3024}{w^{2}}=8l

\frac{378}{w^{2}}=l

w^{2}=\frac{378}{l}-------(2)

Now place the value of w from equation (1) to equation (2)

(\frac{378}{l^{2}})^{2}=\frac{378}{l}

\frac{(378)^{2} }{l^{4}}=\frac{378}{l}

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

w^{2}=\frac{378}{7.23}

w^{2}=52.28

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

h=\frac{504}{(7.23)^{2}}

h = 9.64 cm                        

6 0
4 years ago
You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4
Amanda [17]

Answer:

40\ bottle\ caps

Step-by-step explanation:

we know that

The scale is \frac{2.4}{1}\ \frac{cm}{ft}

That means

2.4 cm in the model represent 1 foot in the real

In this problem

The restaurant is 20 feet tall

Find the height of the model

Multiply the actual height of the restaurant by the scale 2.4

20\ ft=20(2.4)=48\ cm

A bottle cap is 1.2 cm tall

To find out the number of bottle caps divide the height of the model by 1.2

\frac{48}{1.2}= 40\ bottle\ caps

8 0
3 years ago
Which of the equations is true
KATRIN_1 [288]
The equation that is true is D
7 0
3 years ago
Read 2 more answers
Can someone please help me I will be forever grateful
Crazy boy [7]

Answer:

5/8

Step-by-step explanation:

1 inches in fraction form would be 8/8 inches, and the button is 3/8 inches, so a 1 inch button is 5/8 inches longer than a 3/8 inch button

6 0
3 years ago
Read 2 more answers
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