Answer:
x = 38.2°
Step-by-step explanation:
<u> sin 27° </u> = <u> x° </u>
11 15
15 · (sin 27°) = 11 · x°
cross-multiply:
6.81 = 11x
6.81 / 11 = x
x = 0.619
sin^-1 (0.619) = 38.2°
Answer:
4 & 17/20
Step-by-step explanation:
Answer:
Brownies made the most money
Step-by-step explanation:
Let c = cookies
b = brownies
We sold 51 items so c+b = 51
Cookies are .75 and brownies are 1.25
.75c + 1.25 b = 53.25
We have 2 equations and 2 unknowns
c = 51-b
Substituting into the second equation
.75(51-b) + 1.25b = 53.25
Distribute
38.25-.75b +1.25b = 53.25
Combine like terms
38.25+.5b = 53.25
Subtract 38.25 from each side
38.25 +.5b -38.25 = 53.25 -38.25
.5b =15
Divide each side by .5
.5b/.5 = 15/.5
b = 30
Now find c
c =51-b
c = 51-30
c = 21
They sold 30 brownies and 21 cookies
30 brownies * 1.25 =37.50
21 cookies *.75 = 15.75
Brownies made the most money
Answer:
7 + 4
Step-by-step explanation:
note that 
× = a
Given
(2 + )² = (2 + )(2 + )
Each term in the second factor is multiplied by each term in the first factor, that is
2(2 + ) + (2 + ) ← distribute both parenthesis
= 4 + 2 + 2 + 3 ← collect like terms
= 7 + 4
Answer:
x/12
Step-by-step explanation:
1/4 of a pan of brownies leftover.
=1/4 of x
=1/4*x
=x/4
If Carter and two of his friends shares the leftover=3 people
Each friend will get
x/4÷3
=x/4×1/3
=x/12
