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3 years ago

A square has an area of 100 feet square. what is the length of each side

Mathematics

1 answer:

Ne4ueva [31]3 years ago

6 0

Answer:

10 ft

Step-by-step explanation:

area of square = side^2

A = s^2

We are told the area is 100 ft^2.

s^2 = 100 ft^2

Take the square root of both sides.

s = 10 ft

Answer: 10 ft

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You are thinking about the things that can go wrong on your trip home over the Thanksgiving break. You have booked a flight with

shtirl [24]

Answer:

The probability that the person reaches home for the holidays is 0.94.

Step-by-step explanation:

A person wants to go home for Thanksgiving and he has booked a flight with US-Scareways.

It is provided that in 30 percent of the cases the company has canceled the flight you were on.

SO there is 70% chance of reaching home without any difficulties.

In case the flight is cancelled, then as a backup the person's friend Walter offers a ride home.

Walter also has a 80% chance of giving the ride. So there is 20% chance the person will not be able to reach hone if his flight gets cancelled.

Consider the tree diagram below.

The events are:

FC = flight is cancelled

FT = Flight is on time

H = reaches home

Compute the probability that the person reaches home as follows:

P (Reaching Home) = P (H|FC) × P (FC) + P (FT)

$=(0.80\times 0.30) +0.70\\=0.24+0.70\\=0.94$

Thus, the probability that the person reaches home for the holidays is 0.94.

4 0

3 years ago

Write the reciprocal of 13

Masteriza [31]

Answer:

Likewise the reciprocal of 13 is 3 and so on.

Step-by-step explanation:

To find the reciprocal of any number, just calculate "1 ÷ (that number)." For a fraction, the reciprocal is just a different fraction, with the numbers "flipped" upside down (inverted). For instance, the reciprocal of 3/4 is 4/3. Any number times its reciprocal will give you 1.

4 0

3 years ago

Read 2 more answers

Lianna is buying 10 apples for $6.50. What is the unit price per apple?

Snezhnost [94]

Given :-  $\sf Lianna\: buys \:10 \:apples\: for \:\$ 6.50 .$

To Find :-  $\sf The\: unit \:price \:of \:each\: Apple .$

Answer :- Its given that cost of 10 apples is $6.50 .

So, by Unitary method , we can solve this ,

→ Cost of 10 apples is $ 6.50.

→ Cost of 1 apple will be $\sf \dfrac{\$6.50}{10}$

= $\red{\bf \$0.65}$

Hence the required answer is $0.65.

6 0

4 years ago

A rectangular vegetable patch has a perimeter of 28 meters and an area of 48 square

aliina [53]

Answer:

Length = 8 meters

Width = 6 meters

Step-by-step explanation:

Given the following information:

Perimeter of a rectangular vegetable patch: 2(L + W) = 28 meters

Area = L × W = 48 m²

We can solve for the dimensions by using both equations.

First, let's use the formula for the perimeter of the rectangular vegetable patch, and isolate one of the given variables:

2(L + W) = 28

Divide both sides by 2:

$\frac{2(L + W)}{2} = \frac{28}{2}$

L + W = 14

Subtract W from both sides to isolate L:

L + W - W = 14 - W

L = 14 - W

Next, we'll take the formula for the area, and substitute the value for the L from our previous step:

A = 48 = L × W

48 = W × (14 - W)

Distribute W into the parenthesis:

48 = 14W - W²

Add W² and subtract 14W to both sides:

W² - 14W + 48 = 14W - 14W - W² + W²

W² - 14W + 48 = 0 ⇒ This represents a quadratic equation in standard form. We can use the coefficient and constant values to solve for its roots.

a = 1, b = -14, and c = 48

Substitute these values into the quadratic equation:

$x = \frac{-b +/- \sqrt{b^{2}-4ac}}{2a}$

$x = \frac{14 +/- \sqrt{(-14)^{2}-4(1)(48)}}{2(1)}$

$x = \frac{14 +/- \sqrt{196-192}}{2}$

$x = \frac{14 +/- \sqrt{4}}{2}$

$x = \frac{14 + 2}{2}$ , $x = \frac{14 - 2}{2}$

x = 8, x = 6

Now, we can substitute these values into the formulas for the perimeter and area to find the true dimensions of the rectangular vegetable patch.

Perimeter: 2(L + W) = 2(8 + 6) = 28 meters

Area = L × W = 8 × 6 = 48 m²

Therefore, the dimensions of the rectangular vegetable patch are:

Length = 8 meters

Width = 6 meters

Dimensions: 8 × 6 meters.

3 0

3 years ago

Jerry bought 9 gallons of gasoline for “D” dollars per gallon. Steve purchased the same amount of gasoline, but at a price that

katrin2010 [14]

Answer: 1.17

Step-by-step explanation: multiply 9 x 0.13

6 0

4 years ago