Answer:
Step-by-step explanation:
Rectangle
Triangle
Add both together
From there, you simply need algebra and a calculator that works in radians.
Take the inverse cos of both sides to get 2x = arccos(-1)
Then divide both sides by 2 to get x = arccos(-1) / 2
Put that into a calculator and you get π/2. But because your bounds are 0 to 2π, you have to add π your solution to get the solution on the other side of the unit circle, which would be (3π/2).
Now that you have the x value, put (π/2) and (3π/2) into f(x) to get the y coordinate.
f(π/2) = 2(π/2) + sin(2(π/2) = π, which means this solution is just (π/2, π)
f(3π/2 = 2(3π/2) + sin(2(3π/2) = 3π, which means this solution is (3π/2, 3π)
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
Answer:
El flujo y gasto de agua es aproximadamente 98.175 centímetros cúbicos por segundo.
Step-by-step explanation:
El gasto del agua (
), medido en centímetros cúbicos por segundo, es el flujo que pasa a través del tubo. La ecuación para determinar el gasto es:
(1)
Donde:
- Diámetro del tubo, medido en centímetros.
- Velocidad del flujo, medida en centímetros por segundo.
Si sabemos que 
y 
, entonces el flujo y gasto del agua es:
El flujo y gasto de agua es aproximadamente 98.175 centímetros cúbicos por segundo.
