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3 years ago

If the sides of a triangle are in the ratio 8:4:6 and its perimeter is 72 cm, find the area of the triangle.

Mathematics

1 answer:

stepan [7]3 years ago

4 0

Answer:

Step-by-step explanation:

8 : 4 : 6

8 + 4 + 6 = 18

72 ÷ 18 = 4

8 : 4 : 6 = 32 : 16 : 24

32 × 16 × $\frac{1}{2}$ = 512cm²

hope this helps!

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X - 7 greater than or equal to 12.8

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Jane is planning to put a new fence around her flower garden. She wants to change the shape, but doesn't want to change the amou

ANEK [815]

Answer:

The answer is below

Step-by-step explanation:

Let us assume that the length of the square be x. Therefore the area of the square is given as:

Area of square = length × length = x × x = x²

Given that the length of one side of the rectangle is twice the length of the other side. Let the length of the small side be a therefore the length of the long side = 2a

The area of the rectangle = length of small side × length of long side = a × 2a = 2a²

Since both the rectangle and square are to occupy the same space, hence:

$Area\ of\ rectangle=Area\ of \ square\\\\2a^2=x^2\\\\a=\sqrt{\frac{x^2}{2} }\\ \\a=\frac{x}{\sqrt{2} }$

Length of small side = a = $\frac{x}{\sqrt{2} }$ , length of long side = 2a = $\frac{2x}{\sqrt{2} }$

The length of the sides are length of the square side divide by √2 ( $\frac{x}{\sqrt{2} }$ ) and twice the length of the square side divide by √2 ( $\frac{2x}{\sqrt{2} }$ )

6 0

3 years ago

Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval not

Paladinen [302]

Answer:

The range interval is: (7, -1)

Step-by-step explanation:

Given the function

g(x) = -2r+5

As the domain is (-1, 3)

Let us put the domain values in the interval (-1, 3)

Putting x = -1

g(x)=-2r+5

= -2(-1)+5

= 2+5

= 7

Putting x = 0

g(x)=-2r+5

= -2(0)+5

=0+5

= 5

Putting x = 1

g(x)=-2r+5

= -2(1)+5

=-2+5

= 3

Putting x = 2

g(x)=-2r+5

= -2(2)+5

=-4+5

= 1

Putting x = 3

g(x)=-2r+5

= -2(3)+5

=-6+5

= -1

Thus the range interval is: (7, -1)

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3 years ago

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