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olganol [36]
3 years ago
7

A gift box measures 4.5 cm wide, 2.5 cm deep and 7 cm high. The gift has a volume of 50 cm cubed. After the gift has been packed

in the box, how much space has NOT been used?
Mathematics
1 answer:
mina [271]3 years ago
8 0

Answer:

28.75 cm^3 of space not used

Step-by-step explanation:

The volume of the box is

V = 4.5* 2.5 * 7 =78.75 cm^3

The gift takes up 50 cm^3

Subtract

78.75-50 = 28.75 cm^3

There is 28.75 cm^3 of space not used

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Musya8 [376]

Answer:

Step-by-step explanation:

A straight line adds up to 180 degrees, therefore 3x+6x = 180

9x = 180

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3 years ago
Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
pentagon [3]

Answer:  A.   A=(1000-2w)*w      B. 250 feet

C.  125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w    (1)

From another hand the length of the fence is 2*w+l=1000        (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w        (3)   ( Part A. is done !)

Part B.

To find the width w  (Wmax) that corresponds to max of area A   we have to dind the roots of equation (1000-2w)w=0  ( we get it from (3))

w1=0  1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C.   Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

3 0
3 years ago
Please help me with this
Masja [62]

Answer:

c = a - 16

Step-by-step explanation:

Given

a = b + 12 ( subtract 12 from both sides )

a - 12 = b

Substitute b = a - 12 into b = c + 4

a - 12 = c + 4 ( add 12 to both sides )

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2 years ago
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eimsori [14]

Answer:

N = -7

Step-by-step explanation:

4 = 1 - n -4

Subtract the numbers first

1 - 4 = -3

Then rearrange the terms

4 = -3 - n

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The you add 3 to both sides of the equations

4 + 3 = -n - 3 + 3

3 0
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Gennadij [26K]

Answer:

d≈3.5

Step-by-step explanation:

d= C/π =11/π≈3.50141

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