A.) height(h), diameter Sphere(d) = 14.6 in., diameter Cylinder (l) = 11 in.
d^2 = h^2 + l^2
h^2 = d^2 - l^2
h^2 = 14.6^2 - 11^2
h^2 = 213.16 - 121
h^2 = 92.16
h = 9.6 in.
b.) V = (4/3)(pi)(r^3)
r = d/2 = 14.6/2 = 7.3 in.
V = (4/3)(pi)(7.3^3)
V = 518.6893pi in^3
V = 1629.5106 in^3
V = 1629.51 in^3
Answer:
Option c
Step-by-step explanation:
A system of equations are given to us. And we need to solve them . The given system is
We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .
We got two values of x as 0 & 2 . Alternatively substituting these values we have ,
Thefore the required answer is ,
Answer:
when adding you just line the decimals up like this, let's say you had to add 1 to 2.58.
2.58
+ <u> 1 .00</u>
3.58
when multiplying you might have to move it, say you had to multiply 1.5 by 2.2. (you don't have to line up the decimals like with addition)
1 .5
<u> </u><u>×</u><u> 2.2</u>
30
<u> </u><u>+</u><u> 300</u>
3.30
1.5 has one decimal place and 2.2 also has one decimal place so you put those 2 decimal places in your answer.
sorry if this is a bit confusing lol
(m/11) - 3
Doing the quotient first so I put it in parenthesis, then subtract 3
Answer:
60 degrees
Step-by-step explanation:
C = 2(pi)r
The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.
C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm
The length of the arc of the sector is 12.56 cm.
We can find the fraction this length is of the full circumference.
(12.56 cm)/(75.36 cm) = 1/6
The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.
That means the angle of the sector is 1/6 the angle of an entire circle.
An entire circle has a central angle of 360 degrees.
1/6 * 360 degrees = 60 degrees
