The angle for which the sine value is 0.6691 is found to be 42°.
What is the sine value?
A trigonometric function called sin x, where x is the angle under discussion stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, the hypotenuse and its value change as the angle changes, and it is the ratio of the side opposite to the angle under discussion. In the study of physics, sound and light waves are represented by the sine function.
When the angle between a right-angled triangle's base and hypotenuse changes, the sine's value changes.
=41.99°≈42°
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Answer:
1.14 liters
Step-by-step explanation:
We have 8% glycerin solution and we need to make it 16% glycerin solution [more concentration].
When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??
Note, 16% = 0.16
We can write a Ratio as shown below, cross multiply and solve for x:
We need to add around 1.14 liters
This question is pretty simple!
All you need to do is divide 115 by 1 1/8 or 1.125
And your answer should be 102.22
So you can round this to 102 hours. :D
Answer:
x = sqrt (2), y = sqrt (2)
Step-by-step explanation:
Here is how we can approach this problem in a step by step solution:
- Look at what we are given - we know that the triangle is a right triangle (has a square on one of its angles representing 90 degrees), and the hypotenuse (the side opposite 90 degree angle) is 2 units long, and one of the other angles is 45 degrees
- Using this information about angle measurements, we can solve for the third angle using the sum of angles in a triangle equals 180 degrees theorem: 180 - 90 - 45 = 45. After solving, we get that the final angle is 45 degrees
- Now, we know that the angles of the triangle are 90, 45, and 45 degrees. Using the base angle theorem, we know that his triangle must be an isocoles right triangle
- That means that both legs of the triangle must be congruent (x = y)
- Finally, we can use the Pythagorean theorem because this is a right triangle to solve for the missing sides 4 = x^2 + y^2, 4 = 2 + 2, x = sqrt (2) y = sqrt (2)
*Also, if you knew that a 45-45-90 triangle's sides form a ratio of a, a, and sqrt (2) a, you could also use that and substitute in the values to solve. Both ways work! Hope this helps!!
Answer:
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 5655
r = 1.4% = 1.4/100 = 0.14,
a) Therefore, the equation that estimates the population t years after 2010 is
A = 5655(1 + 0.14)^t
A = 5655(1.14)^t
b) in 2022, the number of years t = 2022 - 2010 = 12
Therefore,
A = 5655(1.14)^12
A = 27245
