To solve this we are going to use the formula for the volume of a sphere:

where

is the radius of the sphere
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,

. Lets replace that in our formula:



Now, the second diameter of our sphere is 36, so its radius will be:

. Lets replace that value in our formula one more time:



To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=

We can conclude that the volume of additional helium in the balloon is
approximately <span>
17,194 cm³.</span>
So perm cost 2 times as hair cut
perm=2 times haircut
she also needs 5 dollars for lunch
so therefor if 95 is enough to cover it we do
cost=lunch+perm+haircut
cost=5+perm+haircut
subsitute
95=5+2 times haircut+1 time haircut
add like terms
95=5 +3 times haircut
subtract 5 from both sides
90=3 times haircut
diide by 3
30=haircut
subsitute
perm=2 times haircut=2 times 30=60
perm=$60
You are going to do 16x.25
If you convert all of the fractions to decimals.......
2/8=,25 1/8=.125 2/4=.5 2/6=.333333
So in this case 2/4 has the greatest value....
Answer:
y ≈ 240.3 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation between an angle and the sides adjacent and opposite is ...
Tan = Opposite/Adjacent
In this triangle, the interior angle at lower right is the same as the one marked at upper left: 31°. y is the side opposite that angle, and 400 ft is the side adjacent. Then the relation is ...
tan(31°) = y/(400 ft)
Multiplying by 400 ft gives ...
y = (400 ft)·tan(31°) ≈ 240.3 ft
_____
The triangle interior angle at lower right and the angle marked 31° are "alternate interior angles" relative to the transversal marked x and the (parallel) horizontal lines in the figure. Alternate interior angles always have the same measure.
In geometry problems like this one, it means the angle of elevation (above the horizontal) is equal to the angle of depression (below the horizontal).