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2 years ago

Using the Pythagorean method solve the problem and find the area of the triangle

Mathematics

1 answer:

denis-greek [22]2 years ago

8 0

Answer:pythagoream theorem applies to right angle triangle.

Formula

C^2= a^2 + b^ 2

Where a&b are the two sides of the triangle so we need to find side c.

C^2 = 35.42^2+ 21.64^2

C^2 = 1254.57 + 468.29

C^2 = 1722.86

C = square root of 1722.86

C= 41.51m

Area of triangle

A = ab/2

A = 35.42 x 21.64/2

A = 383.24.

Step-by-step explanation:

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The system of equations below has no solution.

mixer [17]

Answer:

Second option: 0 = 26

Explanation:

This is the given system of equations:

$\frac{2}{3} x+\frac{5}{2} y=15\\ \\ 4x+15y=12$

A linear combination of the system is any equation formed by the algebraic addition of both equations, one or both multiplied by an arbitrary constant.

To prove that the given system has no solution you could multiply the first equation times 6 (to get rid of the fractions), multiply the second equation times - 1, and add the two results:

1. First equation times 6:

$6\times\frac{2}{3} x+6\times\frac{5}{2}y=6\times 15\\ \\ 4x+15y=90$

2. Second equation times - 1:

$-4x-15y=-12$

3. Add the two new equations:

$0=78$

4. Conclusion:

Since 0 = 78 is false, no matter what the value of x and y are, the conclusion is that the system of equations has not solution.

The only choice that represents that same situation is the second one, 0 = 26. That is a possible linear combination that represents that the system of equations has no solutions.

In fact, you might calculate the exact factors by which you had to multiply each one of the original equations to get 0 = 26, but it is not necessary to tell that that option represents a possible linear combination for the given system of equations.

7 0

3 years ago

Read 2 more answers

A science class has 9 girls and l boy in the seventh grade and 3 girls and 9 boys in the eighth grade. The teacher randomly sele

RSB [31]

Answer:

boys = 9 ( eighth grade ) + 1 ( seventh grade) = 10 boys

girls = 3 (eight grade) + 9 ( seventh grade) = 12

probability = 22÷ 2

= 1/11

7 0

2 years ago

Slope of a line perpendicular to 5x -9y = 1

romanna [79]

The perpendicular line would have a slope of 1/3.

Perpendicular lines have opposite and reciprocal slopes. So first we have to find the slope of the original line. We can do this by solving the equation for y.

5x - 9y = 1

-9y = -5x + 1

y = 5/9x - 1/9

To do the opposite, take the original slope (5/9) and change the sign (-5/9).

To do the reciprocal, take the slope we changed (-5/9) and flip it as a fraction (-9/5).

This gives us a new slope of

7 0

3 years ago

Which choice represents the fraction below as a single exponential expression?

lyudmila [28]

the correct answer would be A. 8^-12

8^2 /8^16 = 1/8^14 = 2.27373*10^-13

8^-12 = 1.45519*10^-11

which are equal so answer is A

4 0

3 years ago

Carlos has a string that is 24 inches long he wants to divide it into three equal parts write an equation to find how long each

katrin2010 [14]

Answer: 24 ÷ 3

Step-by-step explanation: You do 24÷3 because he has a string that is 24 inches long and if he wanted to divide it into 3 equal pieces . You would get 8 inches long for each piece (8x3) or (3x8)

4 0

3 years ago