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Artyom0805 [142]
1 year ago
10

9)Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The

Mathematics
1 answer:
Sidana [21]1 year ago
5 0

The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.

After drawing a right-angle triangle from the above information.

Applying Pythagoras' theorem:

60² = 6² + x²

After solving:

x = 59.69 ≈ 59.7 foot

Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

Learn more about Pythagoras' theorem here:

brainly.com/question/21511305

#SPJ1

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The correct answer is 19,200. Hope this helps. :)
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Step-by-step explanation:

8 0
3 years ago
The length of a rectangle is six times it’s width. If the area of the rectangle is 150ft^2, find its perimeter.
sineoko [7]

Answer:

Perimeter = 70ft

Step-by-step explanation:

Area of a rectangle is:

area = (length * width)

150 = a * b

a = 6b

a = length

b = width

then:

150 = 6b*b

150 = 6b²

b² = 150/6

b² = 25

√b² = √25

b = 5ft

a = 6b

a = 6*5

a = 30ft

then:

perimeter of a rectangle is:

p = 2(a+b)

p = 2(30 + 5)

p = 2*35

p = 70ft

7 0
3 years ago
Determine the domain and range of the graph.
nirvana33 [79]

Answer:

Domain [-4,4]

Range [-2,2]

Step-by-step explanation:

The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.

In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].

4 0
3 years ago
(2*2)^2-(3+(2*2)/(6-4) EXPLAINED PLEASE
Eva8 [605]

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.

<h3>What is PEMDAS?</h3>

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.

As per the rule of PEMDAS, the given expression can be simplified as shown below.

(2×2)² - [3+(2×2)]/(6-4)

Step 1: Solving Parenthesis,

= 4² - (3+4) / (2)

= 4² - 4/2

Step 2: Solving exponents,

= 16 - 4/2

Step 3: Solving Divisions,

= 16 - 2

Step 4: Solving Subtraction,

= 14

Hence, the solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.

Learn more about PEMDAS here:

brainly.com/question/36185

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6 0
1 year ago
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