Answer:
hope this will help you more
Answer:
(-25) + (-45) + (-75)
-145
Step-by-step explanation:
Given that :
jan made withdrawals of 25 45 75 from her savings account
Sum of negative integers to show Jan's withdrawals :
Expression to showing sun of negative integers to represent Jan's withdrawals :
(-25) + (-45) + (-75)
The result of the sum will give the total amount of Jan's withdrawal.
(-25) + (-45) + (-75) = - 145
Hence, total amount Jan withdrew is - 145
Answer:
The cost for 5 songs is $5.35
Step-by-step explanation:
Find the unit rate for 1 song by dividing the total cost for 3 songs by 3
$3.21 ÷ 3 = $1.07
The unit rate is $1.07 per song, so multiply that by 5 to find the total cost for 5 songs
$1.07 * 5 = $5.35
Answer:
Volume of the frustum = 225.0952
Surface area = 274
Step-by-step explanation:
The volume can be calculated as the difference of the complete pyramid and the tip of the pyramid.
To find the height of the frustum, we can use pythagoras theorem in the following triangle:
first side: 9 - 5 = 4
second side h (height)
hypotenusa: slang = 6
6^2 = h^2 + 4^2
h^2 = 36 - 16 = 20
h = 4.4721
To find the height of the complete pyramid (H), we can use the following rule of three:
H / 9 = (H - 4.4721) / 5
5H = 9H - 40.2489
4H = 40.2489
H = 10.0622
Volume of complete pyramid:
V_complete = (1/3)*9^2*10.0622 = 271.6794
Volume of the tip:
V_tip = (1/3)*5^2*(10.0622 - 4.4721) = 46.5842
Volume of the frustum:
V_frustum = V_complete - V_tip = 225.0952
The surface area is the bigger base area + smaller base area + four side areas.
Bigger base area = 9^2 = 81
Smaller base area = 5^2 = 25
Side area = (9+5)*6/2 = 42
Total surface area: 81 + 25 + 4*42 = 274
Numerators: 8 and 7 = 56
Denominaters; 7 and 4 =28
Final answer 56/28 or 2
