Answer:
It was the The Large Cardinal Project.
Step-by-step explanation:
They used this form of math to calculate the precise place the bomb would land, which was the town where the dictator lived
Answer:
127.5
Step-by-step explanation:
The given series is 26 + 24.5 + 23 + 21.5 + ... - 17.5
The first term of this series is a=26
The common difference is d=24.5-26=-1.5
The last term of the series is -17.5
The nth term is given by:
n=30
The sum of the series:
Answer:
Martin family: 20 hours
Lewis family: 35 hours
Step-by-step explanation:
Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .
We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350
L + M = 55
30 * L + 15 * M = 1350
One way to solve this would be to solve for L in the first equation and substitute that into the second
subtract M from both sides in the second equation
55 - M = L
30 * (55-M) + 15 * M = 1350
30 * 55 - 30 * M + 15 * M = 1350
1650 - 15M = 1350
subtract 1650 from both sides to isolate the M and its coefficient
-15M = -300
divide both sides by -15 to isolate M
M = 20
L = 55-20 = 35
Answer:
Step-by-step explanation:
line 1 m=y2-y1 / x2-x1 [formula for slope ]
m= 0 - (-3) / 8-(-4)
m= 3 /12
m= 1/4 slope of line 1
line2
m = 2-6 / 0-(-1)
m = -4 / 1
m = -4 slope of line 2
line 3
m = -4 - (-7) / -3 - 6
m = 3 / -9
m = - 1/3 slope of line 3
lines 1 & 2 perpendicular b/c they are reciprocals with a sign change :)
lines 1 & 3 neither.. differet slopes and not reciprocals
lines 2 & 3 perpendicular b/c they are reciprocals with a sign change :)
Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.
