How do you solve - -2z - 11 = -5z + 7
1 answer:
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We use the theory of Pythagoras because the triangle is right.
since AB = AC = x
since AB = AC = x
Answer:
d = 6.1m
n = 7km
Step-by-step explanation:
To find the variables, use tan
⇒ tan =
finding d:
⇒tan 63 =
tan of 63 is 1.963
⇒ 1.963 =
multiply 3.1 on both sides
⇒ 1.963 x 3.1 = x 3.1
⇒ 6.0853 = d
round to the nearest tenth:
⇒ 6.0853 = 6.1
finding n:
⇒ tan 45 =
tan of 45 is 1
⇒ 1 =
multiply 7 on both sides:
⇒ 1 x 7 = x 7
7 = n
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.
