Simplify:
−3=12y−5(2y−7)
−3=12y+(−5)(2y)+(−5)(−7)(Distribute)
−3=12y+−10y+35
−3=(12y+−10y)+(35)(Combine Like Terms)
−3=2y+35
Flip the equation.
2y+35=−3
Subtract 35 from both sides.
2y+35−35=−3−35
2y=−38
Divide both sides by 2.
2y/2=−38/2
y=−19
Answer:
vertical angles
Step-by-step explanation:
Answer:
Volume = ⅓n²(n-1) or ⅓(n³ - n²)
Step-by-step explanation:
Given
Solid Shape: Right pyramid
Edge= n units
Height= n - 1 units
Required
Volume of the pyramid
The volume of a right pyramid is
Volume = ⅓Ah
Where A represents the area of the base
h represent the height of the pyramid
Since it has a square base;
The area is calculated as follows
Area, A = edge * edge
A = n * n
A = n²
Recall that
Volume = ⅓Ah
Substitute n² for A and n - 1 for h
The expression becomes
Volume = ⅓ * n² * (n - 1)
Volume = ⅓n²(n-1)
The expression can be solved further by opening the bracket
Volume = ⅓(n³ - n²)
Answer:
188.27
Step-by-step explanation:
divide the starting number (1500) by 100 to get 1% then times by 3 to get the new number for tje start of tje next year.
After 1st- 1545
after 2nd year = 1591.35
After 3rd = 1639.1005
After 4th= 1688.273515
what he gained is 1688.273515-1500= 188.273515.
now round to 2 decimals = 188.27
Answer:
Step-by-step explanation:
Sin x = opp/hyp
Sin x = 4/7
Sin x = 0.5714
X =sin-¹(0.5714)
X = 34.8
X = 35°
