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KiRa [710]
3 years ago
9

If a square had a perimeter of 20cm, find the length of the diagonal. round to the nearest tenth.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0

Answer:

The lenght of the diagonal is 7.1cm

Step-by-step explanation:

First we have to calculate how much each side of the square measures

p = perimeter = 20cm

s = side

p = 4 * s

we replace with the known values

20cm = 4 * s

20cm / 4 = s

5cm = s

Each side of the square measures 5cm

To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

h = hypotenuse

a = leg 1 = 5cm

b = leg 2 = 5cm

h² = a² + b²

we replace the known values

h² = (5cm)² + (5cm)²

h² = 25cm² + 25cm²

h² = 50cm²

h = √(50cm²)

h = 7.07cm

Round to the nearest tenth

h = 7.07cm  = 7.1cm

The length of the hypotenuse is 7.1cm

The hypotenuse of the triangle is the diagonal of the square

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Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north o
My name is Ann [436]

Answer:

≈11.4

Step-by-step explanation:

We know that, Ryan lives 2 blocks west and 5 blocks south of Devin

=> Coordinate of Ryan: (-2,-5). Because:

  • 2 blocks west = 2 unit to the left = -2
  • 5 blocks south = 5 unit go down= -5

Andy lives 7 blocks east and 2 block north of Devin.

=>Coordinate of Andy: (7,2), because:

  • 7 blocks east = 7 unit ti the right = 7
  • 2 block north = 2 unit go up = 2

Hence, to find out the distance of Ryan and Andy, we use distance formula as below:

\sqrt{(2+5)^{2} + ((7+2)^{2} }  ≈11.4

3 0
2 years ago
Read 2 more answers
Determine whether the point is on the graph of the equation 2x+3y=8.<br> (1,2)
geniusboy [140]

The point (1,2) is on the graph of the equation.

Explanation:

The equation is 2x+3y=8

We need to determine the point (1,2) is on the graph.

To determine the point (1,2) is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point (1,2) in the equation 2x+3y=8, we get,

2(1)+3(2)=8

Multiplying the terms within the bracket, we have,

2+6=8

Adding the LHS, we have,

8=8

Thus, both sides of the equation are equal.

Hence, the point (1,2) is on the graph of the equation 2x+3y=8

3 0
3 years ago
Multiplying to Fractions 
ExtremeBDS [4]

Answer:

B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.

Step-by-step explanation:

For A: A is clearly false because you can multiply any fraction and it doesnt matter what the denominator is.

For B: The first part is correct, which is that to multiply two fractions, they dont have to have like/common denominators, the explanation part is also correct. When we multiply we multiply the numerator to the numerator and the denominator to the denominator.

For C: C is false because the first part says yes and we know that you can multiply any 2 fractions regardless of denominators.

For D: For D the first part is correct however, the explanation section is false you dont multiply the numerator to the denominator.

For E: You don't have to find the equivalent fraction to multiply because you can do that afterward.

I hope this helps, have a blessed day! :D

3 0
1 year ago
Find the equation of the line
kotegsom [21]
Of the line of what?
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2 years ago
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100 POINTS! WILL BE MARKED BRAINLIEST!!
QveST [7]

KE = 0 (because velocity is 0)  

PE = mgh = 2kg*9.8m/s^2*40m= 784 joule

<u>Explanation:</u>

KE stands for kinetic energy. In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. Since in this case, the building is still and therefore it does not have any kind of kinetic energy because there is not acceleration.

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