Answer:
A
Step-by-step explanation:
check the above attachment to verify the answer.
5x + 4y = 32 ⇒ 45x + 36y = 288
9x - 1y = 33 ⇒ <u>45x - 5y = 165</u>
<u>41y</u> = <u>123</u>
41 41
y = 3
5x + 4(3) = 32
5x + 12 = 32
<u> - 12 - 12</u>
<u>5x</u> = <u>20</u>
5 5
x = 4
(x, y) = (4, 3)
Answer:
Step-by-step explanation:
Diameter of cone=14 cm
so, Radius of cone= 7cm
Height of cone= 8cm
∴ Volume of cone= 1/3*pi*r^2*h
=1/3*pi*49*8 cm^3
In Sphere, External Radius R=5cm
Let, Internal Radius = r
Volume of Sphere = External Volume- Internal Volume
= 4/3*pi*R^3-4/3*pi*r^3
=4/3*pi[R^3-r^3]
=4/3*pi[5^3-r^3]
But During Conversion Volume Remains Same
So, Volume of Sphere=Volume of Cone
4/3*pi[125-r^3]= 1/3*pi*49*8
4[125-r^3]=49*8
[125-r^3]=49*2
r^3=125-98
r^3=27
so, r =3 cm
Internal Radius= 3cm
So, Internal Diameter=3*2= 6cm
PLS MARK BRAINLIEST
M∠Е = 180 - (54+32) = 94°
18/sin94° = EF/sin54° ⇒
EF = (18*sin54°)/sin94° ≈ 14.6 m
B. 14.6 m
