Step-by-step explanation:
4 H (Hundreds)
5 T(tens)
9 ones
3x3= 9
50x3= 150
100x3= 300
add 300+150+9= 459
Looking at the unit circle:
tanӨ = tan(Ө <span>± 180k)
If we add/subtract 180° from our angle, it simply ends up on the other side of the unit circle. Since tan</span>Ө is represented as slope, the values of the two are the same.
cotӨ is defined as the reciprocal of tanӨ (1/tanӨ)
If tanӨ = tan(Ө ± 180k), then we could also say that
1/tanӨ = 1/tan(Ө ± 180k) which then becomes cotӨ = cot(Ө ± 180k)
Let's apply this to cot(290°).
Subtract 180° to find that cot(290°) = cot(110°)
cot(110°) = -cot(70°) because the angle has been reflected across the y axis, making its slope opposite.
-cot(70°) = -1/tan(70°) because of that reciprocal property from earlier
tan(70°) ≈ 2.75
-1/tan(70°) ≈ -0.36 = cot(290°)
(of course, most calculators can handle tan(110°), but if you're using a trig chart it might not be on there. include whichever steps are necessary)
Consider the complete question is "A store has two different sizes of ice cream on sale this week. The smaller container costs $3.87 for 48 ounces. The larger container costs $6.42 for 128 ounces. which ice cream costs less per ounce?"
Given:
The smaller container costs $3.87 for 48 ounces.
The larger container costs $6.42 for 128 ounces.
To find:
Which ice cream costs less per ounce?
Solution:
We know that

Using this formula, we get
Per ounce cost of small container 


Per ounce cost of larger container 


Since, 0.08 > 0.05 therefore, the per ounce cost of larger container is less.
11x+3y=103 and y=3x+1.
11x+3(3x+1)=103 -----> plug in (3x+1) for y in the first equation. You will want to distribute the 3 to the 3x+1 to get something that looks like:
11x+9x+3=103 ------> now you want to combine like terms
20x+3=103 ---> subtract 3 from both sides
20x=100 ----> divide both sides by 20
x=5
y=3(5)+1 ---> I like to plug in this to the equation that already has y isolated. 3*5 is 15, add 1 and you find that y=16.
(5, 16) will be your final answer (: