Answer:
Step-by-step explanation:
x²+y² = 5²
3²+y² = 25
y² = 16
y = ±√16 = ±4
Since the terminal side is in quadrant IV, y = -4
sinθ = -4/5
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
Seventy three hundreds one thousand two hundred and eighty
There’s a whole bunch going on i don’t know what to help you with
Answer:
ΔMCI ≅ ΔAIC by SAS congruence test
Step-by-step explanation:
Given:
In ΔMCI and ΔAIC
Statement Reason
1) ∠MCI ≅ ∠AIC 1) Given
2) segment MC ≅ segment AI 2) Given
Segment CI is common segment which is both the triangles.
So we can say that.
3) Segment CI ≅ Segment CI 3) Reflexive Property
By SAS congruence test which states that;
"If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent."
4) ΔMCI ≅ ΔAIC 4) By SAS congruence test
