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3 years ago

Properties of Transformation.

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Answer:

distance (lengths of segments remain the same)

angle measures (remain the same)

parallelism (parallel lines remain parallel)

collinearity (points remain on the same lines)

orientation (lettering order remains the same)

Step-by-step explanation:

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The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be require

grigory [225]

Answer:

142.2 meters.

Step-by-step explanation:

We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.

Let us find total surface area of box using surface area formula of cuboid.

$\text{Total surface area of cuboid}=2(lb+bh+hl)$ , where,

$l$ = Length of cuboid,

$b$ = Breadth of cuboid,

$w$ = Width of cuboid.

$\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)$

$\text{Total surface area of box}=2(2520+432+840)$

$\text{Total surface area of box}=2(3792)$

$\text{Total surface area of box}=7584$

Therefore, the total surface area of box will be 7584 square cm.

To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.

$\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}$

$80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2$

$\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}$

$\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}$

$\text{ Length of canvass}=14220\text{ cm}$

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

$\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}$

$\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}$

$\text{ Length of canvass}=142.20\text{ m}$

Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.

5 0

3 years ago

What is the coefficient in the expression 40a-61=17

zepelin [54]

Answer:

a = 1.95

Step-by-step explanation:

40a - 61 = 17

40a - 61 + 61 = 17 + 61

40a = 78

40a / 40 = 78 / 40

a = 1.95

5 0

3 years ago

Please Help!!!!!!

Goryan [66]

A) (8-8/6-2)=0
B) (3-4/7-3)= -1/4
C) (9-3/6-2)=3/2
D) (5-3/7-7)= 1/0 (not identified)

3 0

3 years ago

Let $G$ denote the centroid of triangle $ABC$. If triangle $ABG$ is equilateral with side length 2, then determine the perimeter

belka [17]

Hey there!

You are trying to find the perimeter of triangle ABC. Each side is 2. Since there are 3 sides on a triangle, multiply 2 by 3 to get 6. You do not need the centroid for this problem.

I hope this helps!

5 0

3 years ago

Jessica earned $16 mowing a neighbor's yard. She bought a craft kit for $7.37. She used $3.75 to buy food for a food drive. She

iogann1982 [59]

Answer:

$4.88

Step-by-step explanation:

Jessica made $16 mowing a neighbors yard

She brought a craft kit for $7.37

16-7.37

= 8.63

She used $3.75 to buy food for a food drive

8.63-3.75

= 4.88

Hence the amount Jessica put in the savings account is $4.88

4 0

2 years ago

Read 2 more answers