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allochka39001 [22]
3 years ago
15

Find the length of the hypotenuse

Mathematics
1 answer:
kati45 [8]3 years ago
7 0

Answer: 12

Step-by-step explanation:

a^2 times b^2 =c^2

4^2 times 3^2=c^2

16 times 9=c^2

144=c^2

\sqrt{144}=\sqrt{c^2}

12=c

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Convert 2/50 to percent
vodomira [7]

Answer: 4%

Step-by-step explanation: 50 x 2 = 100

2x2=4 4/100 or 4%

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3 years ago
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A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like
Gala2k [10]

Answer:

193 in

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is the base area multiplied by the wedge, that is:

V = A_bw

The base area is one half times the triangle base times it's height, so:

V = 0.5*b*h*w

The wedge of cheese is 7 inches tall.

This means that w = 7

The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.

This means that b = 11, h = 5

Volume:

V = 0.5*b*h*w = 0.5*11*5*7 = 192.5

Rounding, approximately 193 in.

4 0
3 years ago
what is the distance between the points (23,-33) and (4,9) if necessary round your answer to two decimal places
Rufina [12.5K]

The distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.

<h3>What is the distance between the points (23,-33) and (4,9)?</h3>

The distance between two points on a graph can be determined using the equation;

D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]

Given that;

  • x₁ = 23
  • x₂ = 4
  • y₁ = -33
  • y₂ = 9

We substitute our values into the equation above.

D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]

D = √[ ( 4 - 23 )² + ( 9 - (-33) )² ]

D = √[ ( -19 )² + ( 42 )² ]

D = √[ 361 + 1764 ]

D = √[ 2125 ]

D = 46.10

Therefore, the distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.

Learn more about distance formula here: brainly.com/question/7592016

#SPJ1

7 0
2 years ago
I’m confused can you guys please help me with this question?
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5 0
2 years ago
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Find the possible ones place digit in the square root of the following (apply the properties) a) 2039184
maxonik [38]

Answer:

The answer is given below

Step-by-step explanation:

1) Find the possible ones place digit in the square root of the following

a) 2039184

The number 2039184 ends with 4, therefore the square root of the number can either end in 2 or 8

2² = 4, √4 = 2

8² = 64, √64 = 8

b) 10,004,569

The number 10,004,569 ends with 9, therefore the square root is the number will end in 3

3² = 9, √9 = 3

2) How many natural numbers lie between the squares of 41 and 42

42² = 1764 and 41² = 1681

Therefore the numbers that lie between 1764 and 1681 = (1764 - 1681) - 1 = 83 - 1 = 82

3) What will be the value of ‘ x’ in Pythagorean triplet (41, 9, x)

Pythagorean consist of three positive numbers a, b, c such that a² + b² = c². Therefore: x² + 9² = 41²

x² = 41² - 9² = 1681 - 81

x² = 1600

x = √1600 = 40

4) Check whether 15028 is a perfect square

15028 = 2 × 2 × 13 × 17 × 17

15028 = 2² × 13 × 17²

It is not a perfect square. If it is divided by 13 it becomes a perfect square, that is:

15028/13 = 2² × 17²

15028/13 = (2 × 17)² = 34²

34² = 15028/13

34² = 1156

The square root of the new number formed is 34 (i.e √1156)

5) A gardener has 5190 plants. He wants to plant in such a way that the number of rows and columns remains the same.

let the number if rows be x. Since the rows and columns are the same, the number of columns = x.

x² = 5190

x = √5190 = 72² + 6.

Therefore at least six plant would be left out

7 0
3 years ago
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