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:
Area of ΔPQR = 25 units
Step-by-step explanation:
We will use the following formula to calculate the area of triangle ΔPQR:
A = 1/2 | x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂) | = 1/2 |(-6(1+3) +2(-3-7) +(-1)((7-1)| =
A = 1/2 |-6 · 4 + 2 · (-10) + (-1) · 6| = 1/2 | -24-20-6| = 1/2 | -50| = 1/2 · 50 = 25
A = 25 units
God with you!!!
One million = 1,000,000
So Three million is 3,000,000
One thousandths is 0.001
So nine thousandths is 0.009
So three million and nine thousandths is 3,000,000.009
I think the possible way that the percentage vote of a country is different to the next random sampling to the other data table is its population in each country. In the first table i think Malta has the edge to this table data and place in number 1 but to the other data table the country was left of.
The maximum number of hours for which you can rent the scooter is: 4 hours
<h3>Cost of renting;</h3>
According to the question;
- The maximum amount you can spend for renting a motor scooter is $50
- The rental fee is $12 and the cost per hour is $9.50.
The inequality to determine the maximum number of hours you can rent the scooter is;
Solving the inequality, we have;
h <= 4hours.
Read more on cost of renting;
brainly.com/question/10563785
