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mixas84 [53]
3 years ago
13

How many different squares appear in this picture?

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

27

Step-by-step explanation:

4 times 4 is 16

2 boxes in the middle

4 tiny boxes in each one in the middle

1 entire one on the outside

1+4+4+2+16= 27

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Mrs. Harris took 6 oranges out of the refrigerator and cut them into wedges, each wedge represents 1/6 of the entire orange. Her
lesantik [10]
A = 27
B = 9

Total orange = 6
One orange wedge = 6
Total wedge = 6*6 = 36
36 / 4 = 9
9*3 = 27
36-27 = 9
If it is helpful t
7 0
2 years ago
Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.3 times as long as the doors for the small
tiny-mole [99]
The size of the large cabinets door = 2.3 * 11.5 = 26.45 inches
the board size in inches = 10 1/2 * 12 = 126 inches
number of doors = 126 / 26.45 = 4.76
so the number of doors = 4 doors
7 0
3 years ago
Use Lagrange multipliers to find the maximum and minimum values of
marusya05 [52]

The Lagrangian is

L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)

It has critical points where the first order derivatives vanish:

L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}

L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y

L_\lambda=x^2+y^2-4=0

From the first two equations we get

-\dfrac1{2x}=-\dfrac4y\implies y=8x

Then

x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}

At these critical points, we have

f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125 (maximum)

f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125 (minimum)

5 0
3 years ago
Five widgets and three gadgets cost $109. 90.
erma4kov [3.2K]

Answer:

one gadget costs $15.80

Step-by-step explanation:

Let w = cost of one widget

Let g = cost of one gadget

Given:

  • Five widgets and three gadgets cost $109. 90

⇒ 5w + 3g = 109.9

Given:

  • One widget and four gadgets cost $75. 70

⇒ w + 4g = 75.7

Rewrite  w + 4g = 75.7  to make w the subject:

⇒ w = 75.7 - 4g

Substitute into  5w + 3g = 109.9  and solve for g:

⇒ 5(75.7 - 4g) + 3g = 109.9

⇒ 378.5 - 20g + 3g = 109.9

⇒ 378.5 - 109.9 = 20g - 3g

⇒ 268.6 = 17g

⇒ g = 15.8

Therefore, one gadget costs $15.80

To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:

⇒ w = 75.7 - 4(15.8)

⇒ w = 75.7 - 63.2

⇒ w = 12.5

Therefore, one widget costs $12.50

5 0
2 years ago
-9-2+4 = 90<br> (Absolute value)
elena-14-01-66 [18.8K]

Answer:

[90]

Step-by-step explanation:

3 0
3 years ago
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