Answer:
A) each donut costs $0.65
B) the price for 1 and 1/2 dozen of donuts (18 donuts) is $11.70
Step-by-step explanation:
For a you have to divide $7.80 by 12 (since its a dozen) and thats how you get $0.65
For b you have to multiply the price of each donut ($0.65) by the 1 and 1/2 dozen (18 donuts) and thats how you get $11.70
Answer:
x = π/6, π/2, 5π/6, 3π/2
Step-by-step explanation:
cos x = sin(2x)
Use double angle formula.
cos x = 2 sin x cos x
Move everything to one side and factor.
cos x − 2 sin x cos x = 0
cos x (1 − 2 sin x) = 0
Set each factor to 0 and solve.
cos x = 0
x = π/2, 3π/2
1 − 2 sin x = 0
sin x = 1/2
x = π/6, 5π/6
The total solution is:
x = π/6, π/2, 5π/6, 3π/2
There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2
Step-by-step explanation:
let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2
Answer: m<5 is 71 degrees, m<8 is 109 degrees
Step-by-step explanation: M<5 and m<1 are corresponding angles, so they have the same angle measurement.
M<5 and M<8 are angles on a line, meaning they must add up to 180 degrees, so you subtract m<5's angle measure from 180 to find that m<8 is 109 degrees.
Hope this helps.
33 degrees
If it rises 33 degrees per hour, in one hour it would raise by that much :)
