Answer:
The larger angle is 52. 4
The smaller angle is 37. 6
Step-by-step explanation:
The equation is:
(x-14. 8)+x=90
x+x-14. 8=90
2x=90+14. 8
2x=104. 8
x=52. 4
The value for the larger angle is x
and x =52. 4
The value for the smaller angle is x-14. 8
and x-14. 8=52.4-14.8
=37.6
Verification
(x-14.8)+ x=90
(52.4-14.8)+52.4=90
37.6+52.4=90
90=90
Answer:
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Answer:
Expert Verified
Step-by-step explanation:
the diameter is 57.2 in, then the radius is half that, or 28.6 in. The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³
let's first off take a look at the <u>tickmarks</u>, three <u>side tickmarks</u>, so all those 3 sides are equal, all have a length of y - 25, so is an equilateral triangle.
there are two <u>angle tickmarks</u>, meaning those two angles are equal, wait a second! if those two angles are equal, that means is an isosceles triangle.
now, in an equilateral triangle, all sides are equal, but also all angles are equal, since the sum of all interior angles is 180°, then each angle is really 60°.
let's notice that angle on the upper-left-corner, is a right-angle, but 60° are on the equilateral triangle, and so the remaining 30° must be on the isosceles triangle.
the isosceles triangle has then a vertex of 30°, and twin angles, the twin angles let's say are each a° so then
30° + a° + a° = 180°
30 + 2a = 180
2a = 150
a = 75° = y
now, let's recall, the isosceles triangle has twin angles but it also has twin sides, so the side "x" and the side with the tickmark are equal.
well, we know that y = 75, so the sides with the tickmark are then (75) - 25 = 50 = x.
The answer is approximately 11.18.
