Answer:
58.1 cm
Step-by-step explanation:
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.
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<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.
Answer:
D. x to the power of nine
Step-by-step explanation:
The applicable rule of exponents is ...
(x^a)^b = x^(ab)
You have a=3/2, b=6, so ab = 3/2·6 = 9.
(x^(3/2))^6 = x^(3/2·6) = x^9
Answer:
y= 8x +7
Step-by-step explanation:
<u>slope-intercept form:</u>
y= mx +c, where m is the gradient (or slope) and c is the y-intercept.
Since it is a linear function, the gradient of any 2 points would be equal.
Thus, gradient of the line
Subst. m=8 into the equation:
y= 8x +c
To find the value of c, substitute a pair of coordinates.
When x=0, y= 7,
7= 8(0) +c
c= 7
Thus, the equation of the linear function is y= 8x +7.
Answer:
They would get 12oz of soup
Step-by-step explanation:
First, you would do 16x6 because you want to find the total amount of soup you have.
Next, after finding how much you have in total 96oz you then divide by how many people in this case is 8 then you get your answer.
X² = 10² + 6²
X² = 100 + 36
X² = 136
X = √136
