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Romashka [77]
1 year ago
14

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. What is the hypotenuse?

Mathematics
1 answer:
kramer1 year ago
5 0

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be c = \sqrt{58}.

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

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The short leg of a 90-45-45 triangle is 3 and the long leg is 7.

Since this is a right triangle, we can use the Pythagoras theorem

a^2+b^2 = c^2  

where a and b are the legs and c is the hypotenuse

3^2 + 7^2 = c^2\\\\9 + 49 = c^2\\\\58 = c^2\\\\c = \sqrt{58}

Hence, The hypotenuse would be c = \sqrt{58}.

Learn more about Pythagoras theorem;

brainly.com/question/343682

#SPJ1

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The volume of a cube is 460cm3.<br> Work out the length of its side rounded to 1 DP.
yaroslaw [1]
The side length is the cube root of 460.

cube root(460) = 460^(1/3)
That's approximately 7.7
7 0
3 years ago
Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polyn
lorasvet [3.4K]

Step-by-step explanation:

in newton rapson method

x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}

Let n=n-1

x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}

x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}

7 0
2 years ago
The cost y (in dollars) of renting a segway for x hours is y=30x+25. Find the initial fee and the cost per hour.
Hitman42 [59]

Given:

The cost y (in dollars) of renting a segway for x hours is

y=30x+25

To find:

The initial fee and the cost per hour.

Solution:

We have,

y=30x+25       ...(i)

The slope intercept form of a linear equation is

y=mx+b      ...(ii)

where, m is slope is b is y-intercept or initial value.

From (i) and (ii), we get

m=30,b=25

The value of m is 30, so the slope is 30. It means cost per hour is $30.

The value of b is 25, so y-intercept is 25. It means the initial fee is $25.

8 0
3 years ago
Calculate the density of the object using the information in the picture. Question 5 options: 0.052 ml/g 19.2 g/ml 19.2 ml/g 139
olga_2 [115]

The density of an object is obtained by taking the ratio of the mass of the object and its volume ; Density = \frac{Mass}{Volume}

There is no picture attached and no picture corresponding to the question could be found.

  • However, the required formular for calculating the density of an object is :

  • Density = \frac{Mass}{Volume}

  • The mass of the object is measured in gram(g) or kilogram(kg)

  • The volume of the object measured in Litre or any equivalent unit.

Therefore, the density of the object is the ratio of its mass and volume.

Learn more :brainly.com/question/24386693?referrer=searchResults

8 0
2 years ago
A little help here lol
inysia [295]

Answer:D

Step-by-step explanation:

It’s asking for it’s opposite

4 0
2 years ago
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