Answer:
.7
Step-by-step explanation:
30/.7 is 21
Step-by-step explanation:
I think the typing of the answer options must have some typos.
the magnitude of a vector is the length of the vector.
the length of the vector is Pythagoras over its coordinates.
this vector goes from (3, -6) to (-4, 1), so the relative vector coordinates are -4 - 3 and 1 - -6 = -7, 7.
so the magnitude of length of the vector is
sqrt((-7)² + 7²) = sqrt(49+49) = sqrt(98)
= 9.899494937...
the direction angle is the angle of the vector with the x-axis.
it is the inverse tan of y/x. and in this case in the second (upper left) quadrant, since the vector is pointing up and left.
the inverse tan of 7/-7 = inverse tab of 1/-1 =
inverse tan of -1 in the second quadrant is 135°.
Answer:
see below
Step-by-step explanation:
The costs are
2230.80 + .03 b where b is the board foot
the income was 1.13b
Profit is income - costs
Profit = 1.13b - (2230.80 + .03 b)
Distribute
= 1.13b - .03b - 2230.08
= 1.10b - 2230.08
Profit is when the money is greater than 0
(breaking even is 0)
0 <1.10b - 2230.08
Add 2230.08 to each side
2230.08 < 1.10b - 2230.08 + 2230.08
2230.08 < 1.10b
Divide by 1.10
2230.08/1.10 < 1.10b/1.10
2027.345455 <b
They must sell at least 2027.345 board feet of lumber per day to make a profit
Answer:
8 loaves
Step-by-step explanation:
Possible english translation:
Find the largest number of children among whom 32.48 and 56 loaves can be distributed simultaneously, so that in either case each receives the same amount. How many loaves will each child receive?
<u>Solution:</u>
The max amount each one will receive from either 32, 48, or 56 loaves would basically be the HCF (highest common factor) of the 3 numbers.
To get HCF of the 3 numbers given, we follow the rule below:
- Get prime factorization of each number (express the number as product of primes by dividing
- Then we take the smallest power of shared factor
We show this below:
32/2 = 16/2 = 8/2 = 4/2 = 2
So,
32 = 
48/2 = 24/2 = 12/2 =6/2 = 3
So,
48 = 
56/2 = 28/2 = 14/2 = 7
56 = 
Common factor is only "2" (in all 3 numbers) and the lowest powered one is 2^3, so the <u>HCF is 8</u>
