What is the answer for this multi step equation

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

1+7x=1+7x
-7x. -7x
1=1

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A castle is surrounded by a circular moat which is 5 m wide

Elanso [62]

Answer:

1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0

2 years ago

HELPPPPPPP ASAP!!!!

Sergeeva-Olga [200]

Answer: AB will be parallel to A'B'.

Step-by-step explanation: We know the definition of dilation about the centre. It is defined as the enlargement or shrinken of the original figure keeping the centre of dilation or the figure as fixed.

We are given ΔUVW and AB is perpendicular to UW. Now, if we dilate the triangle about the origin, then the triangle will either enlarge or shrink keeping the centre fixed.

Let us consider the enlarged triangle, ΔU'V'W' as shown in the attached figure. Also, line AB will move to the new position A'B'. We can clearly see that both the lines are parallel to each other.

Thus, the line segments AB and A'B' will be parallel too each other.