Answer:
A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Cosine Law
a² = b²+c²-2bc cos A
b² = c²+a² -2ca cos B
Sum of three angles of a triangle is 180°.
a = 34 ; b= 53; c = 74
Substituting the given values in the cosine law, we have
34² = 53² + 74² - 2*53 *74 * cos A
7844 cos A = 2809 + 5476 - 1156 = 7129
cos A = 7129/7844 = 0.9088
A = cos⁻¹ (0.9088) = 24.6600° = 24.7°
53² = 74² + 34² - 2 (74)(34) cos B
5032 cos B = 5476 + 1156 - 2809 = 3823
cos B = 3823/5032 = 0.7597
B = cos⁻¹ (0.7597) = 40.5622° = 40.6°
Also, A + B + C = 180°
24.7 + 40.6 + C =180
C =180 - 65.3 = 114.7°
∴ A =24.7° ; B = 40.6° ; C =114.7°
The answer is 9.
5^2=25. 1^5=1. 2^4=16.
Hope it helps :)
Answer:
the damaged items expected in the case when the 23,025 capacitors produced is 75
Step-by-step explanation:
The computation of the damaged items expected in the case when the 23,025 capacitors produced is shown below:
= (5 × 23,025 capacitors) ÷ (1,535 capacitors)
= 75
Hence, the damaged items expected in the case when the 23,025 capacitors produced is 75
Answer:
The surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.
Step-by-step explanation:
The given is,
A prism of
Let, h - height of the prism
w - Width of the prism
d - Depth of the prism
Step:1
From given,
h = 4 feet
w = 3 feet
d = 2 feet
Step:2
Formula to calculate the surface area of the rectangular prism is,
A=2(wd+hd+hw)
Substitute the values of w,d and h
= 2 [(3×2) + (4×2) + (4×3)]
= 2 (6+8+12)
= 2 × 26
= 52
A = 52 Square feet
Result:
Thus the surface area of the rectangular prism is 52 square feet (ft²), if the height is 4 feet, width is 3 feet and depth is 2 feet.
Answer:
15/18
Step-by-step explanation:
A single di has 6 sides, meaning the probability of rolling a 6 is 1/6. So if you roll a di 18 times you would probably get 6 three times. Meaning the number of unsuccesful rolls would be (18/18 - 3/18). Hope this helps.
