Since we are shifting equation up 3 units, the equation would be y=x+3
Answer:
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°
Step-by-step explanation:
The cosine and tangent functions are useful here. The relevant relations are ...
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...
cos(40°) = 12/ma
ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet
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The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...
tan(40°) = ml/12
ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet
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The angle formed at Maria's position is the complement of the other acute angle in the right triangle:
M = 90° -40° = 50°
In summary, ...
- Maria–Ava: 15.7 feet
- Lucas–Maria: 10.1 feet
- angle at Maria: 50°
Answer:
Step-by-step explanation:
When the exponent is attached to the trig function like that, its essentially the same thing as taking the entire function to that power.
tan^2(x) = (tanx)^2
Answer:
29/110
Step-by-step explanation:
There are a total of 110 orders at the restaurant, so that will serve as the denominator. There are 29 meatballs, so that will be the numerator. Combine the two and you get 29/110. Experimental probability is what happens in the experiment like this question. Theoretical probability is "real math" as in 1/3.
Answer:
2.00
Step-by-step explanation:
let the empty box be the variable n. n+0.34=2.34
subtract .34 from both sides
n=2.00