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3 years ago

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

Mathematics

1 answer:

babymother [125]3 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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The volume of an oblique pyramid with a square base is V units3 and the height is h units.Which expression represents the area o

melamori03 [73]

Answer: a) $\dfrac{3V}{h}\ units^2$

Step-by-step explanation:

We know that the volume of an oblique pyramid is given by :-

$\text{Volume}=\dfrac{1}{3}\text{(Base Area x height) }$

If the volume of an oblique pyramid with a square base is V units³ and the height is h units.

Then, we have

$V=\dfrac{1}{3}\text{(Base Area x h) }$

Multiply 3 on both sides , we get

$3V=\text{(Base Area x h) }$

Divide both sides by h , we get

$\dfrac{3V}{h}=\text{Base Area }$

i.e. $\text{Base Area }=\dfrac{3V}{h}\ units^2$

Hence, the expression represents the area of the base of the pyramid = $\dfrac{3V}{h}\ units^2$

Hence, the correct answer is a) 3 v/h units^2

7 0

2 years ago

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Please help Find the area in square units of ABC△ plotted below.

neonofarm [45]

Answer:

Use the distance formula on both points AC and AB.

Distance formula is this:

\begin{gathered}d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\\end{gathered}d=(x2−x1)2+(y2−y1)2d=(1−−5)2+(8−−7)2d=(6)2+(15)2d=36+225d=261

Distance for AC is 16.16

Now do the same with the numbers for AB and get the distance of 5.39

2. To get the area, use the formula 1/2 x base x height

AB is the base and AC is the height.

1/2 x 16.16 x 5.39 = 43.55

the answer is 43.5

6 0

2 years ago

Show each step to solve the equation below: 4x+5=x+2

Eduardwww [97]

$4x + 5 = x + 2$
Subtract 2 from both sides.

Your equation will be: 4x+3=x
Subtract 4x from both sides.
Yoir equation will be: 3= -3x
Divide by -3x on both sides.

Your final answer: x=-1

5 0

3 years ago

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On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).

mariarad [96]

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

Same slopes
Different y-intercepts

The formula of the slope of a line which passes through points $(x_{1},y_{1})$ and $(x_{1},y_{1})$ is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ The given line passes through points (-12 , -2) and (0 , -4)

∴ $x_{1}$ = -12 , $x_{2}$ = 0

∴ $y_{1}$ = -2 , $y_{2}$ = -4

- Use the formula of the slope above to find the slope of the given line

∵ $m=\frac{-4-(-2)}{0-(-12)}=\frac{-4+2}{12}=\frac{-2}{12}=\frac{-1}{6}$

∴ The slope of the given line is $\frac{-1}{6}$

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = $\frac{-1}{6}$

∵ The parallel line passes through point (0 , 6)

- The form of the linear equation is y = mx + b, where m is the slope

and b is the y-intercept (y when x = 0)

∵ m = $\frac{-1}{6}$ and b = 6

∴ The equation of the parallel line is y = $\frac{-1}{6}$ x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

Point (-12 , 8)

∵ x = -12 and y = 8

∵ y = $\frac{-1}{6}$ (-12) + 6

∴ y = 2 + 6 = 8

- The value of y is equal the y-coordinate of the point

∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

4 0

3 years ago

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URGENT! 100 POINTS TO SOLVE!

masya89 [10]

Answer:

20/5 = x /4 x = 80/5 = 16

x - 10 / 39 = 5/15 = 1/3

3x - 30 = 39

3x = 69

x = 23

(2x + 10 ) * 4 = 10 *(x + 3)

8x + 40 = 10x + 30

2x = 10

x = 4.

AE = 2(5) + 10 = 20, hope this helped.

3 0

2 years ago

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