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babunello [35]
2 years ago
9

In her metalwork class, Anja cut a square of

Mathematics
1 answer:
Paul [167]2 years ago
8 0

Given:

Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.

To find:

The area of the remaining tin.

Solution:

Area of a square is:

Area=a^2

Where, a is the edge of the square.

Area of the smaller square is:

A_1=(3.7)^2

A_1=13.69

Area of the larger square is:

A_2=(6.3)^2

A_2=39.69

The area of the remaining tin is:

A=A_2-A_1

A=39.69-13.69

A=26

Therefore, the area of the remaining tin is 26 sq. cm.

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You are making a walkway around part of a swimming pool. The dimensions of the swimming pool are 18 and 25, while the dimensions
vredina [299]

Answer:

A = 4x^2 + 86x + 450

Step-by-step explanation:

Given

Walkway = x

Length = 18

Width = 25

Required:

The area of the swimming pool

Assume the walkway will be on the 4 sides of the swimming pool.

The total length (L) of the swimming pool will be:

L = 18 + x + x

L = 18 + 2x

The total width (W) will be:

W = 25 + x + x

W = 25 + 2x

The area (A) is:

A = L * W

A = (18 + 2x) * (25 + 2x)

Expand bracket

A = 18 * 25 + 18 * 2x + 25 * 2x + 2x * 2x

A = 450 + 36x + 50x + 4x^2

A = 450 + 86x + 4x^2

Reorder

A = 4x^2 + 86x + 450

8 0
3 years ago
Graph the three parts of inequality 1 < x + 3 < 9
Fittoniya [83]
First part:  1 is less than the sum of x and 3:  1 < x+3.
Second part:  the sum of x and 3 is less than 9.
Obviously 1 < 9.

Taking another look at 1<x+3, we can solve for x:  -2<x.  Draw a dashed vertical line thru x = -2.
Taking another look at x+3<9, subtract 3 from both sides.  Then x<6.
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Shade the area between these two vertical lines to obtain the desired graph.
5 0
3 years ago
What arithmetic variables look like
juin [17]

Answer:

LETTERS

Step-by-step explanation:

In Arithmetic, variables look like LETTERS.

5 0
3 years ago
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle i
nasty-shy [4]

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

8 0
3 years ago
View the screenshot and answer please. 20 points will give brainliest!
Paul [167]

Answer:

Right angle triangle goes to 15m, 8m, 17m

Step-by-step explanation:

Square root of 15^2 + 8^2 is 17

(The use of a^2 + b^2 = c^2 - Pythagoras's Theorem)

So, 10m ,11m ,15m isn't a right angle triangle

Hope this helps!

6 0
2 years ago
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