The value of cos 67.4° is 5/13.
According to trigonometric identities used in mathematics, sin of an angle is equal to cos of 90 - the given angle. Mathematically, this means that, suppose we have an angle x, then-
sin(90 - x) = cos x
Here, we are given that sin 22.6° = 5/13. As we can observe that (90 - 67.4) is equal to 22.6, and we need to find the value of cos 67.4° only. Thus we can write the given equation as follows-
sin22.6° = sin(90 - 67.4°)
= cos 67.4°
Thus, sin 22.6° = cos 67.4°
Hence, cos 67.4° = 5/13
Thus, the value of cos 67.4° comes out to be 5/13.
Learn more about trigonometric identities here-
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Step-by-step explanation:
The probability for baseball is unfortunately unlikely
Given:
estimate = 140
actual = 152
Percent of error = |(estimate - actual)/actual| * 100%
% of error = |140 - 152| / 152 * 100%
= |-12|/152 * 100%
= 0.0789 x 100%
% of error = 7.89% rounded to the nearest tenth 7.9%
Glass 1 is a right circular cylinder and Glass 2 is a cone. The total volume of water in both the glasses is 100 centimeters cubed. Some given dimensions are:
Right Circular Cylinder:
diameter = 5, thus radius is half of that, radius = cm
height = we need to find
(Note: Formula for volume, V, is )
Cone:
diameter = 6, thus radius is half of that, radius = cm
height = 5.2 cm
(Note: Formula for volume, V, is )
Now adding the 2 volumes and equating to 100, and then solving for h will give us our answer (we will use π as 3.14). Let's do this.
pir^2+1/3pir^2h=100
(3.14)(2.5)^2h+1/3(3.14)(3)^2(5.2)=100
19.625h+48.984=100
19.625h=51.016
h=51.016/19.625=2.60 cm
Hence height of glass 1 is 2.60
2.63 cm
Answer: The answer is d. 64 units
