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2 years ago

5

Vincent needs 30 inches of wood to make 1 shelf how many feet of wood dose Vincent need to make 6 shelves

1 answer:

babymother [125]2 years ago

7 0

Answer:

Step-by-step explanation:

We can assume each shelve takes the same amount of wood to make. So if 30 inches are needed for one shelve, 30*6 inches of wood will be needed for 6 shelves. 30*6=180, so 180 inches of wood is needed to make 6 shelves. However, the question asks for the final answer to be in feet. There are 12 inches in a foot so we can divide by 12 to find the amount of feet needed to make 6 shelves. 180/12=15. Therefore, 15 feet are needed to make 6 shelves.

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What is the result of adding these two equations?

andre [41]

Answer:

x=103/265 y=18/53

Step-by-step explanation:

5x -9y=1-----------(i)

-7x+2y=-5-----------(ii)

Multiplying eq 1 with 7 gives

35x-63y=7---------eq(iii)

Multiplying eq 2 with 5 gives

-35x+10y=-25--------eq(iv)

adding eq 3 qnd eq 4

35x-63y-35x+10y=7-25

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Putting the value of y from eq 5 in eq 1

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2ND TIME REPOST

Mars2501 [29]

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In the figure, triangle CAE is an enlargement of triangle CBD with scale factor of 4/3. The area of the smaller triangle is 9cm2

balandron [24]

Answer:

16 cm^2

Step-by-step explanation:

Given

$\triangle CAE$ -- Bigger Triangle

$\triangle CBD$ -- Smaller Triangle

$k = \frac{4}{3}$ --- Scale factor

Area of CBD = 9

Required

Determine the area of CAE

The area of triangle CBD is:

$A_1 = \frac{1}{2}bh$

$\frac{1}{2}bh = 9$

The area of CAE is:

$A_2 = \frac{1}{2}BH$

Where:

$B = \frac{4}{3}b$ and

$H = \frac{4}{3}h$

The above values is the dimension of the larger triangle (after dilation).

So, we have:

$A_2 = \frac{1}{2}*\frac{4}{3}b * \frac{4}{3} * h$

$A_2 = \frac{1}{2}*\frac{4}{3} * \frac{4}{3} *b* h$

$A_2 = \frac{1}{2}*\frac{16}{9} *b* h$

Re-order

$A_2 = \frac{16}{9}*\frac{1}{2}* b* h$

$A_2 = \frac{16}{9}*\frac{1}{2}bh$

Recall that:

$\frac{1}{2}bh = 9$

$A_2 = \frac{16}{9}*9$

$A_2 = 16$

Hence, the area is 16 cm^2

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