The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

<h3>Pythagorean theorem</h3>

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

c² = a² +b²

<h3>application</h3>

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

30² = 7.5 +b²

b² = 900 -56.25 = 843.75

b = √843.75 ≈ 29.0473

The length of each support rod is twice this value, so ...

rod length = 2b = 2(29.0473) = 58.0947

Each support rod is about 58.1 cm long.

7 0

2 years ago

Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va

dem82 [27]

(x² + 4x - 45)/(x² + 10x + 9)
<span>
Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)
<span>
Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)
<span>
Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)
<span>
Restrictions : x ≠ - 1, x = 5 </span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

7 0

4 years ago

Read 2 more answers

Everyone shop in her favorite store target she buy T-shirts in pair of jeans that cost $20 she’s been a total of 80 or purchase

kumpel [21]

Step-by-step explanation:

so you divide

$80 \div 20 = 4$

so each t-shirt costs 4$

5 0

2 years ago

Solve for v 17 - 2v = -53solve for v 17-2v=-53

lapo4ka [179]

Hey!

------------------------------------------------

Steps To Solve:

17 - 2v = -53

~Subtract 17 to both sides

17 - 2v - 17 = -53 - 17

~Simplify

-2v = -70

~Divide 2 to both sides

-2v/-2 = -70/-2

~Simplify

v = 35

------------------------------------------------

Hence, the answer is $\Large\boxed{\mathsf{v~=~35}}$

------------------------------------------------

Hope This Helped! Good Luck!

7 0

3 years ago

En qué se convierte este punto geométrico​

En qué se convierte este punto geométrico