Which ordered pair represents the y-intercept of the graph of the equation y = -5x + 6?
2 answers:
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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:
Step-by-step explanation:
The formula of an area of a parallelogram:
b - base
h - height
We have:
base₁ = 9.8 in
base₂ = 10 in
height₁ = 5.6 in
height₂ = h
The area of a parallelogram:
and
Therefore we have the equation:
Substitute:
<em>divide both sides by 10</em>