A plate has a diameter of 14 inches . what is the approximate circumference of the plate?

1 answer:

3 0

Circumference formula is 2(pi)r^2
so you need to find the radius(diameter/2) r=7
then multiply 7 x 3.14= 21.98
then multiply by 2 21.98 x 2= 43.96
answer is B 43.96

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

7 0

3 years ago

The area of the triangle below is 10.6 square centimeters. What is the length of the

CaHeK987 [17]

Answer:

6 cm

Step-by-step explanation:

The area of a triangle is $\frac{bh}{2} = A$ , where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.