Answer:
Volume of hemisphere is equals to 1071.78666 cubic unit
Step-by-step explanation:
Given: radius of hemisphere=8 unit
A hemisphere is a 3-dimensional object that is half of a sphere.
Volume of hemisphere is equal to two thirds multiplied by pi multiplied by radius to the power 3.
<u>Formula:</u> Volume of hemisphere(V)
where r is the radius of the hemisphere and the value of pi is constant i.e, 
Now, substitute the value of r to find the volume of hemisphere,
Volume of hemisphere(V)= 
∴ 
=1,071.78666 cubic unit.
Answer:
The answer is (-3, 4).
Step-by-step explanation:
(3, 4) is located in Quadrant I, which is (+, +). Since you're reflecting the point across the x-axis, you'll be in Quadrant IV, which is (-, +). The point will now be (-3, 4).
I hope this helped! :-)
The solution to the expressions given are;
9 -9t/ 12 - 5t
a. 20/ 169
b. -170/ 169
c. 386/ 169
d. -10/ 169
<h3>How to solve the expressions</h3>
Given:
We can see that both variables in the numerator and denominator have no common factor, thus cannot be factorized further
a. 
First, let's find the lowest common multiple
LCM = 169
= 
= 
= 20/ 169
b. 
The lowest common multiple is 119
= 
substract the numerator
= - 170/ 119
c.
The lowest common multiple is 169
= 
= 386/ 169
d. 
The lowest common multiple is 169
= 
= - 10/ 169
Thus, we have the solutions to be 9 -9t/ 12 - 5t, 20/ 169, -170/ 169, 386/ 169, -10/ 169 respectively.
Learn more about LCM here:
brainly.com/question/12732917
#SPJ1
3/5 participate in after school sports...
of these, 1/2 play lacrosse......1/2 of 3/5..." of " means multiply..
1/2 * 3/5 = 3/10....so 3/10 play lacrosse
Answer:
B. y=3(x-1)2 + 3
Step-by-step explanation:
Given that
vertex of the parabola is at the point (1,3)
let's verify, if the option B is the correct equation of the parabola.
comparing to standard equationof parabola (standard quadratic equation), we get
to find the vertex we use formula for x- coordinate as 
to find y put x=1 in the Eq1, we get
vertex =(x,y) = (1, 3)
thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified
