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3 years ago

1.

Mathematics

1 answer:

creativ13 [48]3 years ago

7 0

If the diameter is 12 inches, the radius is 6 inches, because the radius is half the diameter.

Given the formula

$A=\pi r^2$

we have

$A=36\pi$

When you fold the circle in half, the resulting figure has half the area.

So, you start with a circle with area $36\pi$

You fold it once and you have a semicircle with area $18\pi$

You fold it twice and you have a quarter circle with area $9\pi$

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What is 5.27 × 10–4 written in standard form?

maks197457 [2]

Answer: 0.000527

Step-by-step explanation:

Given: $5.27\times10^{-4}$ in standard form.

The standard form are also known as scientific notation.

Scientific notation is a way to write a very large or a very small number in the product of a decimal form of number [generally between 1 and 10] and powers of ten.

Since the power of 10 is negative, then it must be smaller than 1.

We can write the given number in decimal form as

$5.27\times\frac{1}{10^4}=\frac{5.27}{10000}=0.000527$

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3 years ago

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In which set do all of the values make the inequality 2x-1<10 true ? A)10-15-20. B)5-7-9 C)4-6-8. D)2-3-4

melamori03 [73]

D is true
$2x - 1 < 10 \\ 2 \times (2) - 1 = 3 \\ 2 \times (3) - 1 = 5 \\ 2 \times (4) - 1 = 7$

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3 years ago

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The position, x, of an object is given by the equation x = A + Bt +Ct2, where t refers to time. What are the dimensions of A, B,

Serjik [45]

Answer: Dimensions of A are of length [L]

Dimensions of B are of $LT^{-1}$

Dimensions of C are of $LT^{-2}$

Step-by-step explanation:

The given equation is

$x(t)=A+Bt+Ct^{2}$

Since the dimension on the L.H.S of the equation is [L] , each of the terms on the right hand side should also have dimension of length[L] to be dimensionally valid

Thus

Dimensions of A = [L]

Dimensions of Bt = [L]

$Bt=[L]\\\\$ $[B][T]=[L]$ $\\\\\therefore [B]=LT^{-1}$