Answer:
Step-by-step explanation:
You mean to find side (hypotenuse) x and angles y and z in the right triangle.
We will find hypotenuse with Pythagorin theorem
x∧2 = 10∧2 + 8∧2 = 100 + 64 = 164 => x = √164 = 12.80
x = 12.80
According to the definition of tangens we have
tan y = 8/10 = 0.8 => y = arc tan 0.8 = 38.66° => y = 38° 39' 36''
tan z = 10/8 = 1.25 => z = arc tan 1.25 = 51.34° => z = 51° 20' 24''
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This relation is a function because each input has only one output
Well since the whole (1 pint) is 16 fluid ounces (fl oz) and we only have 7 fl oz, the fraction is 7 over 16; 7/16. This fraction can't be simplified, so 7/16 is in simplest form.
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Answer/Step-by-step explanation:
If two triangles are similar, their corresponding angles would be of equal measure of degree.
8. The 3rd angle of the smaller ∆ is x = 76°, while that of the larger ∆ is y = 44°. As we can see, the corresponding angles of both ∆s are not congruent or equal to each other. Therefore they ARE NOT SIMILAR.
9. x = 43°, while y = 106°.
Both triangles have corresponding angles that are congruent to each other.
Therefore, both triangles ARE SIMILAR.
Answer:
1001.66 in²
Step-by-step explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Slant height (l) = 18 in
Diameter (d) = 22 in
Surface Area (SA) =.?
Next, we shall determine the radius of the cone. This can be obtained as follow:
Diameter (d) = 22 in
Radius (r) =.?
Radius = diameter /2
Radius = 22/2
Radius (r) = 11 in.
Finally, we determined the surface area of the cone as follow:
Pi (π) = 3.14
Slant height (l) = 18 in
Radius (r) = 11 in.
Surface Area (SA) =.?
SA = πr² + πrl
SA = (3.14 × 11²)+ (3.14 × 11 × 18)
SA = (3.14 × 121) + 621.72
SA = 379.94 + 621.72
SA = 1001.66 in²
Therefore, the surface area of the cone is 1001.66 in²