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Reil [10]
3 years ago
9

If the length of a figure (preimage) is 6cm, how long will the new figure (image) be if you triple the length? Explain how you f

ound your answer.
Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0

The length of the new image is 216 cm.

<u>Step-by-step explanation:</u>

The given data is that,

  • The length of the previous image is 6 cm.
  • The length of the new image is unknown.

<u>To find the length of the new image :</u>

Use the given information that the length of the new image is triple the length of the pre-image.

This means that, the length of new image = thrice the length of previous image.

⇒ triple the length = three times the length

Here, the length is given as 6 cm.

Therefore, the length of new figure = 6×6×6 = 216.

The length of the new image is 216 cm.

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You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-
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Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7

Similarly,

BC=\sqrt{(5-(-2))^2+(4-4)^2}=7

CD=\sqrt{(5-5)^2+(4-(-3))^2}=7

AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7

It is conclude that, AB=BC=CD=AD.

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

P=4a=4(7)=28\text{ yards}

Area of square floor is

A=a^2=7^2=49\text{ sq. yards}

Therefore, the perimeter is 28 yards and the area is 49 square yards.

7 0
3 years ago
Help please!!! I don’t understand this
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(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
andreev551 [17]

Answer:

≈ 5.36

Step-by-step explanation:

If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.

If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.

20-9.28=10.72\\10.72\div2=5.36

However, I'm not 100% sure about this answer.

Hope this helped (and I hope I'm right)

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