Problem
Solution
If we look the graph careful we can see that the angle C is equivalent to the angle G
so then the best answer would be :
G
Statement A is correct.
7.99m is the unit rate for how much you will pay for each pound of meat.
5.99c is the unit rate for how much you will pay for each pound of cheese.
Complete question :
Sweets are sold loose, or pre-packed in 120g bags.The 120g bags are £1.49 each.The loose sweets are £0.89 for 100g.
By calculating the price per gram, determine which is better value.
Answer:
100 g bag
Step-by-step explanation:
For the 120g bag:
Price per gram :
Price / Numbe of gram
1.49 / 120 = 0.0124 gram per bag
For the 100 g bag :
0.89 / 100
= $0.0089per gram
Since $0.0089 is < $0.0124
Then the 100g bag is of better value
Simplify :
12+-5x+6x=4
combine like terms :
-5x+6x=1x
12+1x=4
solving :
12+1x=4
solving for variable ‘x’
move all terms containing x to the left, all other terms to the right, add ‘-12’ to each side of the equation
12+-12+1x=4+-12
combine like terms:
then divide each side
your answer : x=-8
Answer:
2.33
Step-by-step explanation:
imagine a circle. its center is A, and it goes through B, so its radius is AB.
then it is important to know that the sum of all the angles in a triangle is 180 degrees.
one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.
more back to our circle.
in this circle the line CB is the sine of the angle at A multiplied by the radius.
and AC is the cosine of the angle at A multiplied by the radius.
we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).
=> CB = sin(A)×AB
AC = cos(A)×AB
=> 5 = sin(65)×AB
=> AB = 5 / sin(65)
=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =
= 5 × cot(65) = 2.33
