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Artyom0805 [142]
4 years ago
9

matt wants to walk his dog around the block. The block has a rectangle shape. The dimensions of the block is 3 miles long. and 2

450 yards wide. How many feet would matt walk if he walked his dog around the block two times? write an equation and solve for x
Mathematics
1 answer:
Alina [70]4 years ago
6 0
The answer to this questions is going to be

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What is the distance between the following coordinates? Show work.
miss Akunina [59]

Answer:

\huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}}  \:  \: \text{units} } }

<h3>♁ Question :</h3>
  • Find the distance between ( 5 , -6 ) and ( 3 ,4 ).

<h3>♁ Step by step explanation:</h3>

Let the points be A and B. Now,

  • Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )
  • Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )

Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

\boxed{ \underline{ \sf{distance =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }}}

Substitute the actual value of the points into the distance formula and then simplify.

\dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} +  {(4 - ( - 6))}^{2}  } }}

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2}  +  {(4 - ( - 6))}^{2} } }}

Remember : ( - ) × ( - ) = ( + )

\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} +  {(4 + 6)}^{2}  } }}

Add the numbers : 4 and 6

\longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2}  +  {(10)}^{2} } }}

Evaluate the power

\longrightarrow{ \sf{ \sqrt{4 + 100}}}

Add the numbers : 4 and 100

\dashrightarrow{ \sf{ \sqrt{104}}}

\dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}} units

Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is \sf{2 \sqrt{26}} units .

And we're done!

Hope I helped!

Have a wonderful time ! シ

~TheAnimeGirl

5 0
3 years ago
The volume of this cylinder is 2,769.48 cubic meters, the height is 18 cubic meters. What is the radius? Use ​ ≈ 3.14 and round
Firdavs [7]

Answer: r = 7 meters

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Volume = 2,769.48 cubic meters

Height = 18 meters

Therefore,

2769.48 = 3.14 × r² × 18

2769.48 = 56.52r²

r² = 2769.48/56.52 = 49

Taking square root of the left hand side and the right hand side of the equation, it becomes

r = √ 49 = 7 meters

5 0
3 years ago
John has 4/5​ of a pound of dog food left to share equally among 6 dogs in his pet shop. ​How many pounds of food can he give to
arlik [135]

Answer:

2/15 pound of dog food

Step-by-step explanation:

John has 4/5​ of a pound of dog food left to share equally among 6 dogs in his pet shop. ​How many pounds of food can he give to each dog?

From the above question, we can deduce that:

6 dogs = 4/5 pound of dog food

1 dog = x pound of dog food

Cross Multiply

6 dogs × x pound = 1 dog × 4/5 pound of dog food

x pound = 1 dog × 4/5 pound of dog food/6 dogs

x pounds = 4/5 ÷ 6

x pounds= 4/5 × 1/6

x pounds = 4/30

x pounds = 2/15 pound of dog food

Therefore,if the dog food is shared equally, he can give each dog 2/15 pound of dog food.

3 0
3 years ago
HELP!!!!!!! Find the quotient: (x²−5x+8)÷(x+2).
lesantik [10]

Answer:

quotient =-2x-1

Step-by-step explanation:

solve it by synthetic division,

6 0
4 years ago
At 5:45 p.m., a jet is located 108 mi due east of a city. A second jet is located 214 mi due north of the city. To the nearest t
Ivan
The answer is 239.7  
4 0
4 years ago
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