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aleksley [76]
3 years ago
10

A playground is in the shape of a square . If the perimeter of the playground is 60 feet , find the diagonal distance across the

park , leave your answer in simplest radical form .
Mathematics
1 answer:
puteri [66]3 years ago
4 0

The perimeter is the sum of the 4 sides of the square. Divide the perimeter by 4 to find the length of one side:

60/4 = 15

Now using the Pythagorean theorem find the diagonal:

Diagonal = √(15² + 15²)

Diagonal = 15√2 ( or 21.213 as a decimal answer)

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The perimeter of a rectangle is 12 meters. If the length of the rectangle is 5 meters, what is the width (in meters)?
kicyunya [14]

Answer:

Step-by-step explanation:

the answer is explained in the picture

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3 years ago
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A car dealership offers customers two pricing options for vehicle repair. Option 1: pay $80 per hour of wok. Option 2: pay a sta
Ierofanga [76]

Answer:

1: The initial value for option one is not charged

The rate of change for option 1 is $80/hr

Step-by-step explanation:

1. From the pricing options at the car dealership we have;

Option 1

Initial value = Not stated

Fee rate per hour of work = $80

Option 2

Standard fee = $100

Fee rate per hour of work = $400

The initial value for option one is not charged

The rate of change = The increase in payment for each increase in one hour of work = $80/hour

Mathematically, we have;

The \ rate  \ of  \ change = \dfrac{\Delta Payment}{\Delta Time} = \dfrac{\$80 - \$0}{1 \, h- 0 \, h} = \$ 80/hr

5 0
3 years ago
Translate IxI>= 3 into words using the definition of absolute value
Nookie1986 [14]

Answer:

Step-by-step explanation:

The absolute value of an integer is the distance that separates the number from the zero position "0", that is, the absolute value of an integer is the natural number that results from suppressing its sign.

In other words, the absolute value of a real number a, written |a|, is the same number a when it is positive or zero, and opposite of a, if a is negative.

In this case IxI>= 3 means that \left \{ {{x\geq 3} \atop {x\leq -3}} \right.

This is translated as, since the absolute value of x represents the distance from zero, the solutions to this inequality are those numbers whose distances from zero are greater than or equal to 3, that is, that x is greater than or equal to 3 or x is less than or equal to -3.

6 0
3 years ago
Yossi used to have a square garage with 286 ft of floor space. He recently built an addition to it. The garage is still a​ squar
Lina20 [59]
The first side is 71.5
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8 0
4 years ago
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Annie and her family are on their way to visit some family friends who live 820 miles away from them. Based on the route they ch
Stella [2.4K]

Answer:

4 hours

Step-by-step explanation:

The distances and average speeds for the first two days driven are show below.

Step 1

We calculate the total distance covered in the first two days

First day: 6 hours at an average speed of 60 miles per hour

Hence:

1 hour = 60 miles

6 hours = x

x = 60 × 6

x = 360 miles

Second day: 4 hours at an average speed of 65 miles per hour

Hence:

1 hour = 65 miles

4 hours = x

x = 65 × 4

x = 260 miles

The distance covered for the first two days =

(360 + 260)miles

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Step 2

The total distance for the entire trip = 820 miles

Hence, the distance left to cover on the third day = (820 - 620)miles

= 200 miles

In the question, we are told:

If the average speed on the third day is 50 miles per hour,

The number of hours it will take for them to reach their family friends home is calculated using the formula

Time = Distance/Speed

Time = 200 miles/50 miles per hour

Time = 4 hours

3 0
3 years ago
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