Answer:
a = 4
Step-by-step explanation:
![\sin(theta) = \frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%20%5Csin%28theta%29%20%20%3D%20%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20)
![\cos(theta) = \frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%20%5Ccos%28theta%29%20%20%3D%20%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20)
![\tan(theta) = \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%20%5Ctan%28theta%29%20%20%3D%20%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20)
hypotenuse = a
opposite = 2√3
adjacent = b
theta = 60°
the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a
![\sin(60) = \frac{2 \sqrt{3} }{a}](https://tex.z-dn.net/?f=%20%5Csin%2860%29%20%20%3D%20%20%5Cfrac%7B2%20%5Csqrt%7B3%7D%20%7D%7Ba%7D%20)
![\frac{2 \sqrt{3} }{ \sin(60) } = a](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%5Csqrt%7B3%7D%20%7D%7B%20%5Csin%2860%29%20%7D%20%20%3D%20a)
![4 = a](https://tex.z-dn.net/?f=4%20%3D%20a)
![a = 4](https://tex.z-dn.net/?f=a%20%3D%204)
Answer:
D) 30
Step-by-step explanation:
3(a + 4b)-6 = 3 ( 4 + 4*2) - 6
= 3( 4+8 ) - 6
= 3*12 - 6
= 36 - 6 =30
Answer:
Parameter of base = 70.88 inch (Approx.)
Step-by-step explanation:
Given:
Volume of cylinder = 3768 cubic inch
Height of Prism = 12 inch
Find;
Parameter of base
Computation:
Volume of cylinder = Volume of Prism
3768 = (L)(B)(H)
3768 = (L)(B)(12)
(L)(B) = 314
L = B
So.
L = 17.72 inch
B = 17.72 inch
Parameter of base = 2[l+b]
Parameter of base = 2[17.72 + 17.72]
Parameter of base = 70.88 inch (Approx.)
Transmission must be in third gear as both are running at the same speed ! so third gear !!!