Answer:
.9
Step-by-step explanation:
If the number behind that place is 5 or greater than you round up one but if it is 4 or below than you keep the number the same.
Answer:
∠2=92°
Step-by-step explanation:
Using an angle formula, -8x+144=2x+74
Simplification:
-8x+144=2x+74
-8x+70=2x
70=10x
x=7
Therefore, each angle is 88°
Now, because ∠2 is adjacent to one of 88°, they add up to 180°
Therefore,
180°=88°+∠2
∠2=92°
Answer:
16,771.56 square feet.
Step-by-step explanation:
In order to get to the result we will need to use the scale and the numbers that are provided of the dimensions of the room.
The dimensions of the room on the floor plan are 17.8 inches by 21.2 inches. We first need to multiply these numbers with the scale:
17.8 x 80 = 1,424
21.2 x 80 = 1,696
Now that we got the real measures we need to multiply these two values in order to get to a result as in how many square inches is the room:
1,424 x 1696 = 2,425,104
Now we need to convert the square inches into square feet to get to the final result:
1 ft² = 144 in²
2,425,104 / 144 = 16,771.56
So we have a result of 16,771.56 square feet.
Answer:
6 bottles of juice
Step-by-step explanation:
1. find the total amount of juice needed (number of students multiplied by the amount of juice): 48*8 = 384
2. find the number of bottles needed (total amount of juice divided by amount in each bottle): 384/64 = 6
Answer:
2. 10
3. D. 1 for all n
Step-by-step explanation:
2. The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^b = 1/a^-b
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The value of n is 10.
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3. Using the above rules of exponents, the expression simplifies to ...
6^(-n+n) = 6^0 = 1
The value is 1 for any n.