Find the length of the diagonal of a square whose sidis 10 cm.

1 answer:

5 0

For a square all the sides are the same.
So all the sides are 10 cm as stated by the question.

If the square is cut diagonal, it will be a right triangle.

Let x cm be the diagonal of a square.

10² + 10² = x² (Pythagorean Theorem)

100 + 100 = x²

x² = 200

x = √200

x = 10√2 or 14.14 (nearest hundredths)

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A rectangular auditorium seats 1702 people. The number of seats in each row exceeds the number of rows by 9. Find the number of

klemol [59]

We have been given that a rectangular auditorium seats 1702 people. Also, the number of seats in each row exceeds the number of rows by 9.

Let us assume that there are x rows in the auditorium. Therefore, there must be (x+9) seats in the each row. This will also be equal to the number of columns in the auditorium.

Therefore, we can set up an equation as:

$x(x+9)=1702\\x^{2}+9x=1702\\x^{2}+9x-1702=0$

We can now factor this quadratic as shown below:

$x^{2}+9x-1702=0\\(x-37)(x+46)=0$

Upon solving this equation, we get:

$x=-46,37$

Since number of rows cannot be negative. Therefore, there must be 37 rows in the auditorium. And hence, the number of seats in each row will be 37+9=46 seats.

8 0

3 years ago

Okay... <br> solve for x:<br><br> 10/3 = x<br> -----<br> (-5/2)

grin007 [14]

10/3 = 1 1/5 so that’s the answer

3 0

3 years ago

Solve: -5y- 9 = -(y - 1)

RoseWind [281]

Answer:

Exact Form:

y= $-\frac{5}{2}$