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jok3333 [9.3K]
3 years ago
14

Debra is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms with lengths of 6, widths

of 6, and heights of 3. She wants to cover all the sides of each box with special wallpaper. If she has a total of 1152ft of wallpaper, how many boxes can she cover?
Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0

Answer:

The answer to your question is:  8 boxes

Step-by-step explanation:

First, calculate the area of the bases (6 x 6)

Area of a rectangle = 6 x 6 = 36, there 2 bases

                then = 36 x 2 = 72 ft2

Area of a rectangle (lateral faces) = 6 x 3 = 18

      there are 4 faces = 18 x 4 = 72

Total area = 72 + 72 = 144 ft2

Finally      # of boxes = 1152/144 = 8

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Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1
bekas [8.4K]

The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

<h3>What is the coordinate of the point which divides a line segment in a specified ratio?</h3>

Suppose that there is a line segment \overline{AB}such that a point P(x,y) lying on that line segment \overline{AB} divides the line segment  \overline{AB} in m:n, then, the coordinates of the point P is given by:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)

where we have:

  • the coordinate of A is (x_1, y_1)
  • and the coordinate of B is (x_2, y_2)

We're given that:

  • Coordinate of A is (x_1, y_1) = (-7,2)
  • Coordinate of B is (x_2, y_2) = (9.-6)
  • The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)

Let the coordinate of P be (x,y), then we get the values of x and y as:

(x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)

Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is  (x,y) = (5,-4)

Learn more about a point dividing a line segment in a ratio here:

brainly.com/question/14186383

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4 0
2 years ago
After 7 years, an initial investment of $600 earned $84. Find the interest rate
Salsk061 [2.6K]

Answer:

2%

Step-by-step explanation:

Solving our equation

r = 84 / ( 600 × 7 ) = 0.02

r = 0.02

converting r decimal to a percentage

R = 0.02 * 100 = 2%/year

The interest rate required to

accumulate simple interest of $ 84.00

from a principal of $ 600.00

over 7 years is 2% per year.

8 0
3 years ago
Walter is practicing his high jumps for the track team. His first jump measured 5 feet, 9 inches. His second jump measured 3 fee
tia_tia [17]

Answer: 1.834 ft

Step-by-step explanation:

Given

Walter's first Jump is 5 ft, 9 in.

His second Jump is 3 ft, 11 in.

We know,

1\ ft=12\ in

Converting inches to feet

First Jump in feet

\Rightarrow 5\ ft+\frac{9}{12}\ ft=5.75\ ft

Second jump

\Rightarrow 3\ ft+\frac{11}{12}\ ft=3.916\ ft

The difference in the measurement of two Jumps is

\Rightarrow 5.75-3.916=1.834\ ft

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3 0
3 years ago
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love history [14]

Answer:

...

Step-by-step explanation:

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3 years ago
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PLEASE HELP ME WITH THIS MATHS QUESTIONS!!!<br> WILL GIVE BRAINLIEST!!!
vampirchik [111]

Answer:

a) y = (x+2)/3

b) 5

Step-by-step explanation:

f^-1(x) means "f inverse of x". To find the inverse, we simply:

a ) f(x) = 3x -2

    y = 3x - 2 --> because f(x) is the same thing as y

    x = 3y - 2 --> to find the inverse, we simply just switch x and y

    x + 2 = 3y

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b) f^-1(13)

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   f^-1(13) = (15)/3

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3 0
3 years ago
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