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3 years ago

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Can someone pls. help me with this, the instruction says "Find the Unknown length marked on the following figure. Round all the

answers/answer to the nearest thousandths"..............?
Help Me!

1 answer:

coldgirl [10]3 years ago

3 0

Answer:

The length of diagonal d is 14.1421 cm

Step-by-step explanation:

We are given square

Length of side of square = 10 cm

We need to find the length of diagonal d

To find diagonal of square, the formula used is:

$Diagonal\: of\: square=s\sqrt{2}$

where s is length of side of square.

Putting values of s and finding length of diagonal of square

$Diagonal\: of\: square=s\sqrt{2}\\Diagonal\: of\: square=10\sqrt{2}\\Diagonal\: of\: square=10(1.41421)\\Diagonal\: of\: square=14.1421\:cm$

So, The length of diagonal d is 14.1421 cm

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M+5n=7 how to solve equation

aivan3 [116]

M + 5n = 7
subtract 5n from each side

m = -5n + 7

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Which expression is the best estimate of 1.25 + (-2.69)?

Nitella [24]

Answer:

C. 2 + (-3)

Step-by-step explanation:

-2.69 can be rounded to -3 and 1 can be rounded to 2

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3 years ago

The cost of parking a motor home in a state park includes a one time fee of $180, plus a daily rate of $55 per day. Anthony prep

HACTEHA [7]

Answer:

Anthony paid for 7 days of parking.

Step-by-step explanation:

From the information given, the cost of parking a motor home in a state park would be equal to the one time fee plus the result of multiplying the daily rate for the number of days:

c=180+55x, where c is the cost of parking the motor home and x is the number of days.

Now, you can replace c with 565 that is the amount Anthony prepaid and you can solve for x to be able to find the number of days he paid for:

565=180+55x

565-180=55x

385=55x

x=385/55

x=7

According to this, Anthony paid for 7 days of parking.

7 0

3 years ago

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

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3 years ago

This box can be packed with 48 units cubes. The edge length of each unit cube is 1 meter. What is the volume of the box?

Dafna1 [17]

48 m³

Step-by-step explanation:

A cube has equal length width and height

A cube in this case has length 1m meaning the width and height are also 1 m each in length.

The volume of the cube is (L * W * H) = 1 * 1 * 1 = 1 m³

If 48 of these can fit in the bigger box, then the bigger box has the volume of;

48 * 1 m³ = 48 m³

Learn More:

For more on volume of a cube check out;

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3 years ago