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3 years ago

PLS ANSWER THIS QUESTION!!!

Mathematics

2 answers:

kodGreya [7K]3 years ago

7 0

Answer:

1620

Step-by-step explanation:

54 x 30 ( half of 60 ) = 1620 this gets you the entire area if you slplit thim into two right triangles and make a rectangle ( if thats confusing dont look into it too much )

musickatia [10]3 years ago

3 0

I believe the answer would be 1620

The formula for the area of a triangle is (base•height)/2

So 60(54) = 3240/2 = 1620

Please correct me if I am wrong have a good day!

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$