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3 years ago

What is 5,392,029,004 in word form?????

Mathematics

1 answer:

Kazeer [188]3 years ago

6 0

Five billion three hundred ninety two million twenty nine thousand and four

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A park is 4 times as it is wide. If the distance around the park is 12.5 kilometers what is the area of the park

MaRussiya [10]

Answer:

6.25 km

Step-by-step explanation:

Here is the correct question: A park is 4 times as long as it is wide. If the distance around the park is 12.5 kilometers, what is the area of the park?

Given: Perimeter (Distance) of the park= 12.5 km

Considering park is in rectangular shape.

Let the width of park be x

∴ as given length will be 4x.

Formula for perimeter of rectangle = $2\times (length + width)$

Perimeter is given 12.5 km

⇒ $12.5= 2\times (4x+x)$

⇒ $12.5= 10x$

∴ x= 1.25 km, which means width is 1.25 km and length is 5 km.

Now, finding the area of park

Formula; Area of rectangle= $length\times width$

∴ Area of rectangle= $5\times 1.25 = 6.25 km$

∴Area of park will be 6.25 km.

6 0

3 years ago

21 and 22 are complementary angles. The measure of Z1 is 45 The measure of Z2 is 3x°. Find the value of x. The figure is not dra

Alex

9514 1404 393

Answer:

x = 15

Step-by-step explanation:

Given:

∠1 + ∠2 = 90°

∠1 = 45°

∠2 = 3x°

Find:

Solution:

Using the given values in the given equation, we have ...

45° +3x° = 90°

15 + x = 30 . . . . . . divide by 3°

x = 15 . . . . . . . . . . . subtract 15

6 0

2 years ago

When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,

kondaur [170]

Answer:

The combined resistance of a circuit consisting of two resistors in parallel is given by:

$\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}$

where

R is the combined resistance

$r_1, r_2$ are the two resistors

We can re-write the expression as follows:

$\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}$

$R=\frac{r_1 r_2}{r_1+r_2}$

In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

$\frac{dR}{dr_1}=\frac{r_2(r_1+r_2)-1(r_1r_2)}{(r_1+r_2)^2}=\frac{r_2^2}{(r_1+r_2)^2}$

We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

To solve this part, we use again the expression for R written in part a:

$R=\frac{r_1 r_2}{r_1+r_2}$

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

$r_1>0$