Una persona observa un pájaro que esta en la copa de un árbol de 2 m de altura y un gato que esta en el pie del mismo árbol a la
espera de atrapar el pájaro. y si la persona esta a 3 m del árbol.
a)¿ que medidas aproximadas tienen los ángulos de depresión y de elevación e esta situación?
b) ¿de que dependerá que los ángulos de elevación y de deprecio cambien en este estilo d análisis?
c)¿es posible que alguno de los ángulos(el de elevación o el de deprecio) sean mayores o iguales a 99º? explica tu respuesta
a)¿ que medidas aproximadas tienen los ángulos de depresión y de elevación e esta situación?
b) ¿de que dependerá que los ángulos de elevación y de deprecio cambien en este estilo d análisis?
c)¿es posible que alguno de los ángulos(el de elevación o el de deprecio) sean mayores o iguales a 99º? explica tu respuesta
1 answer:
Answer:
a) About 40° and 5 °; b) the height of the person; c) none
Step-by-step explanation:
(a) Angles of depression and elevation
The angle of depression is about 40°.
The angle of elevation is about 5°.
(b) Dependence of angles
The angles of elevation and depression depend on the height of the person.
The taller the person, the smaller the angle of elevation and the larger the angle of depression.
(c) Limitations of angles
There is no chance that either angle could be greater than or equal to 99°.
Each is part of a right triangle.
If one angle is a right angle, each of the other two angles must be less than 90°.
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Answer:
The general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .
Step-by-step explanation:
The standard form of equation of circle.
Where (h,k) is the centre of a circle and r is the radius.
As given
The center of a circle is located at (3, 8), and the circle has a radius that is 5 units .
Put in the formula
(By using the formula (a - b)² = a² + b²- 2ab)
As 5² = 25
x² + 9 - 6x + y² + 64 - 16y = 25
x² + y² - 6x - 16y + 9 + 64 = 25
x² + y² - 6x - 16y + 73 = 25
x² + y² - 6x - 16y + 73 - 25 = 0
x² + y² - 6x - 16y + 73 - 25 = 0
x² + y² - 6x - 16y + 48 = 0
(As the general equation of a circle are in the form x² + y² + Ax +By + F =0 Where A,B and C are constant .)
Therefore the general equation of a circle is x² + y² - 6x - 16y + 48 = 0 .
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To find how much money total will be in the account after four years, you need to use the function, , as seen above. In this function, a is the starting value, r is the interest rate, and t is the amount of time (in years).
Before substituting values into the function, we need to convert 3% into a decimal. Remember that all percentages are out of 100, so we divide 3 by 100 and remove the percentage sign, or move the decimal two places to the left.
3/100 = 0.03 | 0.03 is the interest rate.
With all the necessary values, we can find the total amount in the account. In this case, a = 1200, r = 0.03, and t = 4.
y = 1350.610572, which can be rounded to 1350.61 dollars.
Therefore, after 4 years, the total amount in the account will be about 1350.61 dollars.