At an electronics store, a $165 television is marked up 110%. Trevor purchases the TV and must pay 6.5% sales tax.
2 answers:
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Answer:
D. (–3, –6) and (5, 10)
Step-by-step explanation:
The system has equations:
...(1)
and
...(2)
Equate both equations;
Rewrite in standard form:
We factor to obtain:
By the zero product principle;
When x=-3, y=2(-3)=-6
This yields the ordered pair (-3,-6).
When x=5, y=2(5)=10
This yields the ordered pair (5,10).
The correct choice is D.
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.
__
<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.
