Hello,
Angle BCH and CHJ are alternate-interior ( and have the same measure)
82+30=3n+7
==>3n=105
==>n=35
The volume of a sphere is calculated like so:
v = 4*pi*r^3/3
so half sphere will have half that volume:
v = (<span>4*pi*r^3/3)(1/2)
</span>v = <span>4*pi*r^3/6
</span>plug in the data:
v = <span>4*pi*(10)^3/6
</span>v = 2094.4
that is the volume of the half sphere
Answer:
The Length of third side is 52 units.
Step-by-step explanation:
Given:
Length of First side = 48
Length of second side = 20
Also given the angle between them is 90°.
Hence we can say figure shown is a right angled triangle.
For finding the third side we can use Pythagoras theorem which states that;
"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."
Hence substituting the values we get;
Now taking Square root on both side we get;
Hence Length of Third side is 52 units.
divide 3 by 4 = 3/4 = 0.75
so Cody jogs 3/4 mile for every 1 mile Vanessa runs
Answer:
8 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
Step-by-step explanation:
Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13
x + 5y + 10z = 43
x = 4z
x + y + z = 13
x + 5y + 10z = 43
x + 0y - 4z = 0
x + y + z = 13
5y + 14z = 43
-y - 5z = -13
5y + 14z = 43
-5y - 25z = -65
-11z = -22
z = 2
x = 4z
x = 4*2 = 8
x + y + z = 13
8 + y + 2 = 13
10 + y = 13
y = 3
