Answer:
the formula for the volume of a square pyramid is V=a^2*h/3
so if we just put in the data
12^2*10/3
144*10/3
480
so the answer is B
Hope This Helps!!!
Answer:
12
Step-by-step explanation:
you minus the smaller section from the whole thing so 15-3=12
Answer:
x=5
Step-by-step explanation:
3/5(x-10)=18-4x-1
3/5x-30/5=18-4x-1
3/5x-6=18-4x-1
+6 +6
3/5x=23-4x
+4x +4x
4 3/5x=23
23/5x=23
23/5 divide , so you actually multiply both sides by the reciprocal 5/23
x=5
Answer:
111
Step-by-step explanation:
if angle 8 and angle 4 are equal, then angle 8 and angle 5 are equal
so... angle 5= angle 4
Answers:
- team one = 162
- team two = 108
=========================================================
Explanation:
The ratio 3:2 scales up to 3x:2x for some positive whole number x.
This tells us that the first team has 3x people and the second team has 2x people. We'll subtract 12 from the first team and add 12 to the second team to represent 12 people moving.
- 3x becomes 3x-12
- 2x becomes 2x+12
The new team counts 3x-12 and 2x+12 represent team 1 and team 2. Those expressions are in the new proportion 5:4.
This means....
(team 1 new count)/(team 2 new count) = 5/4
(3x-12)/(2x+12) = 5/4
4(3x-12) = 5(2x+12)
12x-48 = 10x+60
12x-10x = 60+48
2x = 108
x = 108/2
x = 54
From this, we then can say:
- team 1 original count = 3x = 3*54 = 162
- team 2 original count = 2x = 2*54 = 108
The two subtotals add to 162+108 = 270 players overall.
If we were to subtract 12 from team 1, and add 12 to team 2, then,
- team 1 new count = 162-12 = 150
- team 2 new count = 108+12 = 120
The ratio 150:120 then reduces to 5:4 when we divide both parts by the GCF 30. This helps confirm we have the correct answer.
