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
Step-by-step explanation:
Let the total production order be X. The combined rate is thus x/36 orders per hour.
Now, we know that the three machines are working at the same constant rate. This means that individual rate for each of the machines will be x/36 divided by 3 and that gives x/108 per machine.
Now, we are having another machine coming at the same constant rate. This means we are adding an x/108 rate to the preexisting x/36.
The new total rate thus becomes x/108 + x/36 = 4x/108
Now we know that the total new rate is 4x/108. Since the total work doesn’t change and it is still x, the time taken to complete a work of x orders at a rate of 4x/108 order per hour would be x divided by 4x/108 and this is x * 108/4x = 108/4 = 27 hours
Answer:
x ≥ 90
Step-by-step explanation:
it says 90 or higher which also means "at least 90", which means greater than or equal to 90.
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<h3>Answer :</h3>
The factor of (x + y)³- (x³ + y³) is <u>3xy</u>
<h3>Step By Step Solution :</h3>
→ (x + y)³- (x³ + y³)
→ (x + y) - (x + y)(x² - xy + y²) [Using identity a³ + b³ = (a + b)(a²- ab+ b²)]
→ (x + y)(x² + y² + 2xy - x² + xy - y²)[Using identity, (a + b)² = (a² + b²+ 2ab)]
→ (x + y) (3xy)
→ 3xy
∴ Option d. 3xy is correct!
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9514 1404 393
Answer:
x = 2 m
y = 30°
Step-by-step explanation:
The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.
x = DF = 1/3(AB) = (1/3)(6 m)
x = 2 m
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Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.
y = ∠B = ∠E = 30°
y = 30°
