Answer: 394 cm3
Step-by-step explanation:
volume of cylinder - volume of 5 balls=extra volume
voc=πr2h=1181.09
pi=22/7
r=3.35
h= 5 x diameter of ball=33.5 (diameter = 2r)
vo5b=5(4/3πr3)=787.4
r=3.35
ev=voc-vo5b
=393.69
ROUND TO 394
Answer:
In 50 years the amount will be $ 2000.
Step-by-step explanation:
Tiana deposited $500 into a account at 6 % simple interest per Year .
Therefore, Principal (P) is $500
Amount (Principal + Interest) = $2000
Interest (I) = $2000 - $500 = $1500
Rate percentage (R) = 6% per Year
Let, The time be T years
Now, I = 
Or, T =
Or, T = (100×1500 ) ÷ ( 500× 6 )
<em> </em><em>∴ T = 50 Years</em>
9514 1404 393
Answer:
(c) 52.0
Step-by-step explanation:
The angle whose cosine is 8/13 is found using the inverse cosine function:
y° = arccos(8/13) ≈ 52.0°
y ≈ 52.0
__
The calculator button to compute this value is probably labeled cos⁻¹. You may need to access the function using a <em>Shift</em> or <em>2nd</em> key. The calculator must be set to degrees mode to prevent the answer from appearing in radians or grads. If you use a spreadsheet, your formula may look like ...
=DEGREES(ARCCOS(8/13))
Answer:
The solution is the point (0.5,-3)
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A

Solve for x
Adds 5 both sides


Divide by 4 both sides

therefore
The solution is the point (0.5,-3)
<em>Verify your answer using the graph</em>
using a graphing tool
Remember that the solution of the system of equations is the intersection point both graphs
The intersection point is (0.5,-3)
therefore
The solution is the point (0.5,-3)
see the attached figure
Answer:
9 D and 10 B
Step-by-step explanation:
The conditional is what is next to IF and the hypothesis is what you expect in this case you expect it to be a whole number and a integer