Answer:
B
Step-by-step explanation:
This is because when you reflect a triangle the letters need to be the same distance from the point of reflection (the y axis) when you count everything out B is the only answer with all of the correct coordinates.
Answer:
84°
Step-by-step explanation:
Solve for n. Note that the angle measurements of a circle will equal 360°. Set all the angles = 360°.
7n + 12 + 13n - 16 + 6n = 360
Combine like terms:
(7n + 13n + 6n) + (12 - 16) = 360
26n - 4 = 360
Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. First, add 4 to both sides:
26n -4 (+4) = 360 (+4)
26n = 360 + 4
26n = 364
Next, divide 26 from both sides:
(26n)/26 = (364)/26
n = 364/26
n = 14
Next, plug in 14 for n in the angle measurement, 6n:
6n = 6(14) = 84°
Note that these are central angles, which means that the arc's will be the same measurement as the angle's measurement.
arcBC = 84°
84° is your answer.
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47 is a prime number so the only factors are 1 and 47
Factors of 100: <span>1,2,4,5,10,20,25,50,100</span>
y = .0775x + 700
y = .0775(4,000) + 700
y = 310 + 700
y = 1,010
danielle earned $1,010 last week if she sold $4,000 in electronics merchandise.
Answer:
see below
Step-by-step explanation:
If we let X represent the number of bagels produced, and Y the number of croissants, then we want ...
(a) Max Profit = 20X +30Y
(b) Subject to ...
6X +3Y ≤ 6600 . . . . . . available flour
X + Y ≤ 1400 . . . . . . . . available yeast
2X +4Y ≤ 4800 . . . . . . available sugar
_____
Production of 400 bagels and 1000 croissants will produce a maximum profit of $380.
__
In the attached graph, we have shaded the areas that are NOT part of the solution set. (X and Y less than 0 are also not part of the solution set, but are left unshaded.) This approach can sometimes make the solution space easier to understand, since it is white.
The vertex of the solution space that moves the profit function farthest from the origin is the one we are seeking. The point that does that is (X, Y) = (400, 1000).
